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Journal articles on the topic 'Molecular qubit'

Author: Grafiati

Published: 10 March 2023

Last updated: 31 July 2025

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1

Baßler, Pascal, Matthias Zipper, Christopher Cedzich, et al. "Synthesis of and compilation with time-optimal multi-qubit gates." Quantum 7 (April 20, 2023): 984. http://dx.doi.org/10.22331/q-2023-04-20-984.

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We develop a method to synthesize a class of entangling multi-qubit gates for a quantum computing platform with fixed Ising-type interaction with all-to-all connectivity. The only requirement on the flexibility of the interaction is that it can be switched on and off for individual qubits. Our method yields a time-optimal implementation of the multi-qubit gates. We numerically demonstrate that the total multi-qubit gate time scales approximately linear in the number of qubits. Using this gate synthesis as a subroutine, we provide compilation strategies for important use cases: (i) we show that

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2

Chiesa, A., P. Santini, E. Garlatti, F. Luis, and S. Carretta. "Molecular nanomagnets: a viable path toward quantum information processing?" Reports on Progress in Physics 87, no. 3 (2024): 034501. http://dx.doi.org/10.1088/1361-6633/ad1f81.

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Abstract Molecular nanomagnets (MNMs), molecules containing interacting spins, have been a playground for quantum mechanics. They are characterized by many accessible low-energy levels that can be exploited to store and process quantum information. This naturally opens the possibility of using them as qudits, thus enlarging the tools of quantum logic with respect to qubit-based architectures. These additional degrees of freedom recently prompted the proposal for encoding qubits with embedded quantum error correction (QEC) in single molecules. QEC is the holy grail of quantum computing and this

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3

CAO, WEN-ZHEN, LI-JIE TIAN, HUI-JUAN JIANG, and CHONG LI. "SINGLE QUBIT MANIPULATION IN HETERONUCLEAR DIATOMIC MOLECULAR SYSTEM." International Journal of Quantum Information 06, no. 06 (2008): 1223–30. http://dx.doi.org/10.1142/s0219749908004390.

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We propose a scenario to realize quantum computers utilizing heteronuclear diatomic rovibrational states as qubits. We focused on rovibrational qubits created by simple transform limited infrared laser pulse instead of using chirped pulse. Numerical calculations show that single qubit gate operation in the electronic ground state of LiH molecule can be obtained. We also discuss the effect of temperature on the initially rotational states, and a suitable experiment condition is indicated.

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4

Xue, Xiao, Maximilian Russ, Nodar Samkharadze, et al. "Quantum logic with spin qubits crossing the surface code threshold." Nature 601, no. 7893 (2022): 343–47. http://dx.doi.org/10.1038/s41586-021-04273-w.

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AbstractHigh-fidelity control of quantum bits is paramount for the reliable execution of quantum algorithms and for achieving fault tolerance—the ability to correct errors faster than they occur1. The central requirement for fault tolerance is expressed in terms of an error threshold. Whereas the actual threshold depends on many details, a common target is the approximately 1% error threshold of the well-known surface code2,3. Reaching two-qubit gate fidelities above 99% has been a long-standing major goal for semiconductor spin qubits. These qubits are promising for scaling, as they can lever

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5

Yamamoto, Satoru, Shigeaki Nakazawa, Kenji Sugisaki, et al. "Adiabatic quantum computing with spin qubits hosted by molecules." Physical Chemistry Chemical Physics 17, no. 4 (2015): 2742–49. http://dx.doi.org/10.1039/c4cp04744c.

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6

Gidney, Craig, Michael Newman, and Matt McEwen. "Benchmarking the Planar Honeycomb Code." Quantum 6 (September 21, 2022): 813. http://dx.doi.org/10.22331/q-2022-09-21-813.

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We improve the planar honeycomb code by describing boundaries that need no additional physical connectivity, and by optimizing the shape of the qubit patch. We then benchmark the code using Monte Carlo sampling to estimate logical error rates and derive metrics including thresholds, lambdas, and teraquop qubit counts. We determine that the planar honeycomb code can create a logical qubit with one-in-a-trillion logical error rates using 7000 physical qubits at a 0.1% gate-level error rate (or 900 physical qubits given native two-qubit parity measurements). Our results cement the honeycomb code

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7

Chicco, Simone, Alessandro Chiesa, Giuseppe Allodi, et al. "Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear qudit with an electronic ancilla." Chem. Sci. 12 (August 5, 2021): 12046. https://doi.org/10.1039/d1sc01358k.

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We show that [VO(TPP)] (vanadyl tetraphenylporphyrinate) is a promising system to implement quantum computation algorithms based on encoding information in multi-level (qudit) units. Indeed, it embeds a nuclear spin 7/2 coupled to an electronic spin 1/2 by hyperfine interaction. This qubit–qudit unit can be exploited to implement quantum error correction and quantum simulation algorithms. Through a combined theoretical and broadband nuclear magnetic resonance study, we demonstrate that the elementary operations of such algorithms can be efficiently implemented on

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8

Moreno-Pineda, Eufemio, Clément Godfrin, Franck Balestro, Wolfgang Wernsdorfer, and Mario Ruben. "Molecular spin qudits for quantum algorithms." Chemical Society Reviews 47, no. 2 (2018): 501–13. http://dx.doi.org/10.1039/c5cs00933b.

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Molecules are promising building blocks for Quantum information processing. Herein we describe how a molecular multilevel nuclear spin qubit (or qudit, where d = 4), known as TbPc<sub>2</sub>, showing all necessary requirements to perform as a molecular hardware platform with a first generation of molecular devices enabling even quantum algorithm operations.

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9

Yirka, Justin, and Yiğit Subaşı. "Qubit-efficient entanglement spectroscopy using qubit resets." Quantum 5 (September 2, 2021): 535. http://dx.doi.org/10.22331/q-2021-09-02-535.

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One strategy to fit larger problems on NISQ devices is to exploit a tradeoff between circuit width and circuit depth. Unfortunately, this tradeoff still limits the size of tractable problems since the increased depth is often not realizable before noise dominates. Here, we develop qubit-efficient quantum algorithms for entanglement spectroscopy which avoid this tradeoff. In particular, we develop algorithms for computing the trace of the n-th power of the density operator of a quantum system, Tr(ρn), (related to the Rényi entropy of order n) that use fewer qubits than any previous efficient al

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10

Rogers, Ciaran, Deepak Asthana, Adam Brookfield, et al. "Modelling Conformational Flexibility in a Spectrally Addressable Molecular Multi-Qubit Model System." Angewandte Chemie Internation Edition 61, no. 45 (2022): e202207947. https://doi.org/10.1002/anie.202207947.

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Dipolar coupled multi-spin systems have the potential to be used as molecular qubits. Herein we report the synthesis of a molecular multi-qubit model system with three individually addressable, weakly interacting, spin 1=2 centres of differing g-values. We use pulsed Electron Paramagnetic Resonance (EPR) techniques to characterise and separately address the individual electron spin qubits; CuII, Cr7Ni ring and a nitroxide, to determine the strength of the inter-qubit dipolar interaction. Orientation selective Relaxation-Induced Dipolar Modulation Enhancement (os-RIDME) detecting across the CuI

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11

Bultrini, Daniel, Samson Wang, Piotr Czarnik, et al. "The battle of clean and dirty qubits in the era of partial error correction." Quantum 7 (July 13, 2023): 1060. http://dx.doi.org/10.22331/q-2023-07-13-1060.

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When error correction becomes possible it will be necessary to dedicate a large number of physical qubits to each logical qubit. Error correction allows for deeper circuits to be run, but each additional physical qubit can potentially contribute an exponential increase in computational space, so there is a trade-off between using qubits for error correction or using them as noisy qubits. In this work we look at the effects of using noisy qubits in conjunction with noiseless qubits (an idealized model for error-corrected qubits), which we call the "clean and dirty" setup. We employ analytical m

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12

Chiew, Mitchell, and Sergii Strelchuk. "Discovering optimal fermion-qubit mappings through algorithmic enumeration." Quantum 7 (October 18, 2023): 1145. http://dx.doi.org/10.22331/q-2023-10-18-1145.

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Simulating fermionic systems on a quantum computer requires a high-performing mapping of fermionic states to qubits. A characteristic of an efficient mapping is its ability to translate local fermionic interactions into local qubit interactions, leading to easy-to-simulate qubit Hamiltonians.All fermion-qubit mappings must use a numbering scheme for the fermionic modes in order for translation to qubit operations. We make a distinction between the unordered labelling of fermions and the ordered labelling of the qubits. This separation shines light on a new way to design fermion-qubit mappings

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13

Gao, Xiaoqin, Paul Appel, Nicolai Friis, Martin Ringbauer, and Marcus Huber. "On the role of entanglement in qudit-based circuit compression." Quantum 7 (October 16, 2023): 1141. http://dx.doi.org/10.22331/q-2023-10-16-1141.

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Gate-based universal quantum computation is formulated in terms of two types of operations: local single-qubit gates, which are typically easily implementable, and two-qubit entangling gates, whose faithful implementation remains one of the major experimental challenges since it requires controlled interactions between individual systems. To make the most of quantum hardware it is crucial to process information in the most efficient way. One promising avenue is to use higher-dimensional systems, qudits, as the fundamental units of quantum information, in order to replace a fraction of the qubi

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14

Tahan, Charles. "Opinion: Democratizing Spin Qubits." Quantum 5 (November 18, 2021): 584. http://dx.doi.org/10.22331/q-2021-11-18-584.

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I've been building Powerpoint-based quantum computers with electron spins in silicon for 20 years. Unfortunately, real-life-based quantum dot quantum computers are harder to implement. Materials, fabrication, and control challenges still impede progress. The way to accelerate discovery is to make and measure more qubits. Here I discuss separating the qubit realization and testing circuitry from the materials science and on-chip fabrication that will ultimately be necessary. This approach should allow us, in the shorter term, to characterize wafers non-invasively for their qubit-relevant proper

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15

Simone, Chicco, Garlatti Elena, Allodi Giuseppe, et al. "Coherent manipulation of molecular qudits by broadband NMR." Il Nuovo Cimento 45 C (July 4, 2022): 163. https://doi.org/10.1393/ncc/i2022-22163-y.

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We review recent results showing the capability of broadband Nuclear Magnetic Resonance (NMR) to coherently manipulate the state of multi-level molecular qudits with radiofrequency pulses. Several qubit-qudit systems have been studied, paving the way for the realization of quantum-error correction protocols. Here we focus on the recent prototypical [VO(TPP)] complex, a very promising system with long coherence times and strong hyperfine interaction.

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16

Macaluso, Emilio, Marcos Rubin, David Aguilà, et al. "A heterometallic [LnLn'Ln] lanthanide complex as a qubit with embedded quantum error correction." Chem. Sci. 11 (August 18, 2020): 10337. https://doi.org/10.1039/d0sc03107k.

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We show that a [Er–Ce–Er] molecular trinuclear coordination compound is a promising platform to implement the three-qubit quantum error correction code protecting against pure dephasing, the most important error in magnetic molecules. We characterize it by preparing the [Lu–Ce–Lu] and [Er–La–Er] analogues, which contain only one of the two types of qubit, and by combining magnetometry, lowtemperature specific heat and electron paramagnetic resonance measurements on both the elementary constituents and the trimer. Using the resulting

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17

Tiurev, Konstantin, Peter-Jan H. S. Derks, Joschka Roffe, Jens Eisert, and Jan-Michael Reiner. "Correcting non-independent and non-identically distributed errors with surface codes." Quantum 7 (September 26, 2023): 1123. http://dx.doi.org/10.22331/q-2023-09-26-1123.

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A common approach to studying the performance of quantum error correcting codes is to assume independent and identically distributed single-qubit errors. However, the available experimental data shows that realistic errors in modern multi-qubit devices are typically neither independent nor identical across qubits. In this work, we develop and investigate the properties of topological surface codes adapted to a known noise structure by Clifford conjugations. We show that the surface code locally tailored to non-uniform single-qubit noise in conjunction with a scalable matching decoder yields an

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18

Baßler, Pascal, Markus Heinrich, and Martin Kliesch. "Time-optimal multi-qubit gates: Complexity, efficient heuristic and gate-time bounds." Quantum 8 (March 13, 2024): 1279. http://dx.doi.org/10.22331/q-2024-03-13-1279.

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Multi-qubit entangling interactions arise naturally in several quantum computing platforms and promise advantages over traditional two-qubit gates. In particular, a fixed multi-qubit Ising-type interaction together with single-qubit X-gates can be used to synthesize global ZZ-gates (GZZ gates). In this work, we first show that the synthesis of such quantum gates that are time-optimal is NP-hard. Second, we provide explicit constructions of special time-optimal multi-qubit gates. They have constant gate times and can be implemented with linearly many X-gate layers. Third, we develop a heuristic

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19

Zalivako, Ilia V., Anastasiia S. Nikolaeva, Alexander S. Borisenko, et al. "Towards a Multiqudit Quantum Processor Based on a 171Yb+ Ion String: Realizing Basic Quantum Algorithms." Quantum Reports 7, no. 2 (2025): 19. https://doi.org/10.3390/quantum7020019.

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We demonstrate a quantum processor based on a 3D linear Paul trap that uses Yb+171 ions with eight individually controllable four-level qudits (ququarts), which is computationally equivalent to a sixteen-qubit quantum processor. The design of the developed ion trap provides high secular frequencies and a low heating rate, which, together with individual addressing and readout optical systems, allows executing quantum algorithms. In each of the eight ions, we use four electronic levels coupled by E2 optical transition at 435 nm for qudit encoding. We present the results of single- and two-qubit

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20

Johnson, Alexander I., Fhokrul Islam, C. M. Canali, and Mark R. Pederson. "A multiferroic molecular magnetic qubit." Journal of Chemical Physics 151, no. 17 (2019): 174105. http://dx.doi.org/10.1063/1.5127956.

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21

Lao, Lingling, Alexander Korotkov, Zhang Jiang, Wojciech Mruczkiewicz, Thomas E. O'Brien, and Dan E. Browne. "Software mitigation of coherent two-qubit gate errors." Quantum Science and Technology 7, no. 2 (2022): 025021. http://dx.doi.org/10.1088/2058-9565/ac57f1.

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Abstract Two-qubit gates are important components of quantum computing. However, unwanted interactions between qubits (so-called parasitic gates) can be particularly problematic and degrade the performance of quantum applications. In this work, we present two software methods to mitigate parasitic two-qubit gate errors. The first approach is built upon the Cartan’s KAK decomposition and keeps the original unitary decomposition for the error-free native two-qubit gate. It counteracts a parasitic two-qubit gate by only applying single-qubit rotations and therefore has no two-qubit gate overhead.

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22

Tan, Daniel Bochen, Dolev Bluvstein, Mikhail D. Lukin, and Jason Cong. "Compiling Quantum Circuits for Dynamically Field-Programmable Neutral Atoms Array Processors." Quantum 8 (March 14, 2024): 1281. http://dx.doi.org/10.22331/q-2024-03-14-1281.

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Dynamically field-programmable qubit arrays (DPQA) have recently emerged as a promising platform for quantum information processing. In DPQA, atomic qubits are selectively loaded into arrays of optical traps that can be reconfigured during the computation itself. Leveraging qubit transport and parallel, entangling quantum operations, different pairs of qubits, even those initially far away, can be entangled at different stages of the quantum program execution. Such reconfigurability and non-local connectivity present new challenges for compilation, especially in the layout synthesis step which

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23

Abu-Nada, Ali. "Quantum computing simulation of the hydrogen molecular ground-state energies with limited resources." Open Physics 19, no. 1 (2021): 628–33. http://dx.doi.org/10.1515/phys-2021-0071.

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Abstract In this article, the hydrogen molecular ground-state energies using our algorithm based on quantum variational principle are calculated. They are calculated through a simulator since the system of the present study (i.e., the hydrogen molecule) is relatively small and hence the ground-state energies for this molecule are efficiently classically simulable using a simulator. Complete details of this algorithm are elucidated. For this, a full description on the fermions–qubits and the molecular Hamiltonian–qubit Hamiltonian transformations, is given. The authors search for qubit system p

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24

Simoni, Mario, Giovanni Amedeo Cirillo, Giovanna Turvani, Mariagrazia Graziano, and Maurizio Zamboni. "Towards Compact Modeling of Noisy Quantum Computers: A Molecular-Spin-Qubit Case of Study." ACM Journal on Emerging Technologies in Computing Systems 18, no. 1 (2022): 1–26. http://dx.doi.org/10.1145/3474223.

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Classical simulation of Noisy Intermediate Scale Quantum computers is a crucial task for testing the expected performance of real hardware. The standard approach, based on solving Schrödinger and Lindblad equations, is demanding when scaling the number of qubits in terms of both execution time and memory. In this article, attempts in defining compact models for the simulation of quantum hardware are proposed, ensuring results close to those obtained with standard formalism. Molecular Nuclear Magnetic Resonance quantum hardware is the target technology, where three non-ideality phenomena—common

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25

Durandau, Jonathan, Janis Wagner, Frédéric Mailhot, et al. "Automated Generation of Shuttling Sequences for a Linear Segmented Ion Trap Quantum Computer." Quantum 7 (November 8, 2023): 1175. http://dx.doi.org/10.22331/q-2023-11-08-1175.

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A promising approach for scaling-up trapped-ion quantum computer platforms is by storing multiple trapped-ion qubit sets (&apos;ion crystals&apos;) in segmented microchip traps and to interconnect these via physical movement of the ions (&apos;shuttling&apos;). Already for realizing quantum circuits with moderate complexity, the design of suitable qubit assignments and shuttling schedules require automation. Here, we describe and test algorithms which address exactly these tasks. We describe an algorithm for fully automated generation of shuttling schedules, complying to constr

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Paradis, Anouk, Benjamin Bichsel, and Martin Vechev. "Reqomp: Space-constrained Uncomputation for Quantum Circuits." Quantum 8 (February 19, 2024): 1258. http://dx.doi.org/10.22331/q-2024-02-19-1258.

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Quantum circuits must run on quantum computers with tight limits on qubit and gate counts. To generate circuits respecting both limits, a promising opportunity is exploiting uncomputation to trade qubits for gates. We present Reqomp, a method to automatically synthesize correct and efficient uncomputation of ancillae while respecting hardware constraints. For a given circuit, Reqomp can offer a wide range of trade-offs between tightly constraining qubit count or gate count. Our evaluation demonstrates that Reqomp can significantly reduce the number of required ancilla qubits by up to 96%. On 8

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27

Makushin, Konstantin M., and Aleksey K. Fedorov. "Simulating Methylamine Using a Symmetry-Adapted, Qubit Excitation-Based Variational Quantum Eigensolver." Quantum Reports 7, no. 2 (2025): 21. https://doi.org/10.3390/quantum7020021.

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Understanding the capabilities of quantum computer devices and computing the required resources to solve realistic tasks remain critical challenges associated with achieving useful quantum computational advantage. We present a study aimed at reducing the quantum resource overhead in quantum chemistry simulations using the variational quantum eigensolver (VQE). Our approach achieves up to a two-orders-of magnitude reduction in the required number of two-qubit operations for variational problem-inspired ansatzes. We propose and analyze optimization strategies that combine various methods, includ

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28

Groszkowski, Peter, and Jens Koch. "Scqubits: a Python package for superconducting qubits." Quantum 5 (November 17, 2021): 583. http://dx.doi.org/10.22331/q-2021-11-17-583.

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scqubits is an open-source Python package for simulating and analyzing superconducting circuits. It provides convenient routines to obtain energy spectra of common superconducting qubits, such as the transmon, fluxonium, flux, cos(2ϕ) and the 0-π qubit. scqubits also features a number of options for visualizing the computed spectral data, including plots of energy levels as a function of external parameters, display of matrix elements of various operators as well as means to easily plot qubit wavefunctions. Many of these tools are not limited to single qubits, but extend to composite Hilbert s

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29

Chernega, Vladimir N., and Vladimir I. Man’ko. "Qubit portrait of qudit states and Bell inequalities." Journal of Russian Laser Research 28, no. 2 (2007): 103–24. http://dx.doi.org/10.1007/s10946-007-0005-8.

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Drahi, David, Demid V. Sychev, Khurram K. Pirov, et al. "Entangled resource for interfacing single- and dual-rail optical qubits." Quantum 5 (March 23, 2021): 416. http://dx.doi.org/10.22331/q-2021-03-23-416.

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Today's most widely used method of encoding quantum information in optical qubits is the dual-rail basis, often carried out through the polarisation of a single photon. On the other hand, many stationary carriers of quantum information – such as atoms – couple to light via the single-rail encoding in which the qubit is encoded in the number of photons. As such, interconversion between the two encodings is paramount in order to achieve cohesive quantum networks. In this paper, we demonstrate this by generating an entangled resource between the two encodings and using it to teleport a dual-rail

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31

McKemmish, Laura K., David J. Kedziora, Graham R. White, Noel S. Hush, and Jeffrey R. Reimers. "Frequency-based Quantum Computers from a Chemist's Perspective." Australian Journal of Chemistry 65, no. 5 (2012): 512. http://dx.doi.org/10.1071/ch12053.

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Quantum computer elements are often designed and tested using molecular or nanoscopic components that form registers of qubits in which memory is stored and information processed. Often such registers are probed and manipulated using frequency-based techniques such as nuclear-magnetic resonance spectroscopy. A major challenge is to design molecules to act as these registers. We provide a basis for rational molecular design through consideration of the generic spectroscopic properties required for quantum computing, bypassing the need for intricate knowledge of the way these molecules are used

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Le Régent, Francois-Marie, Camille Berdou, Zaki Leghtas, Jérémie Guillaud, and Mazyar Mirrahimi. "High-performance repetition cat code using fast noisy operations." Quantum 7 (December 6, 2023): 1198. http://dx.doi.org/10.22331/q-2023-12-06-1198.

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Bosonic cat qubits stabilized by two-photon driven dissipation benefit from exponential suppression of bit-flip errors and an extensive set of gates preserving this protection. These properties make them promising building blocks of a hardware-efficient and fault-tolerant quantum processor. In this paper, we propose a performance optimization of the repetition cat code architecture using fast but noisy CNOT gates for stabilizer measurements. This optimization leads to high thresholds for the physical figure of merit, given as the ratio between intrinsic single-photon loss rate of the bosonic m

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Alessandro, Chiesa, Petiziol Francesco, Macaluso Emilio, Wimberger Sandro, Santini Paolo, and Carretta Stefano. "Embedded quantum-error correction and controlled-phase gate for molecular spin qubits." AIP Advances 11 (February 18, 2021): 025134. https://doi.org/10.1063/9.0000166.

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A scalable architecture for quantum computing requires logical units supporting quantum-error correction. In this respect, magnetic molecules are particularly promising, since they allow one to define logical qubits with embedded quantum-error correction by exploiting multiple energy levels of a single molecule. The single-object nature of this encoding is expected to facilitate the implementation of error correction procedures and logical operations. In this work, we make progress in this direction by showing how two-qubit gates between error-protected units can be realised, by means of easil

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Paini, Marco, Amir Kalev, Dan Padilha, and Brendan Ruck. "Estimating expectation values using approximate quantum states." Quantum 5 (March 16, 2021): 413. http://dx.doi.org/10.22331/q-2021-03-16-413.

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We introduce an approximate description of an N-qubit state, which contains sufficient information to estimate the expectation value of any observable to a precision that is upper bounded by the ratio of a suitably-defined seminorm of the observable to the square root of the number of the system's identical preparations M, with no explicit dependence on N. We describe an operational procedure for constructing the approximate description of the state that requires, besides the quantum state preparation, only single-qubit rotations followed by single-qubit measurements. We show that following th

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35

Labib, Farrokh. "Stabilizer rank and higher-order Fourier analysis." Quantum 6 (February 9, 2022): 645. http://dx.doi.org/10.22331/q-2022-02-09-645.

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We establish a link between stabilizer states, stabilizer rank, and higher-order Fourier analysis – a still-developing area of mathematics that grew out of Gowers's celebrated Fourier-analytic proof of Szemerédi's theorem \cite{gowers1998new}. We observe that n-qudit stabilizer states are so-called nonclassical quadratic phase functions (defined on affine subspaces of Fpn where p is the dimension of the qudit) which are fundamental objects in higher-order Fourier analysis. This allows us to import tools from this theory to analyze the stabilizer rank of quantum states. Quite recently, in \cite

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Hastings, Matthew B., and Jeongwan Haah. "Dynamically Generated Logical Qubits." Quantum 5 (October 19, 2021): 564. http://dx.doi.org/10.22331/q-2021-10-19-564.

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We present a quantum error correcting code with dynamically generated logical qubits. When viewed as a subsystem code, the code has no logical qubits. Nevertheless, our measurement patterns generate logical qubits, allowing the code to act as a fault-tolerant quantum memory. Our particular code gives a model very similar to the two-dimensional toric code, but each measurement is a two-qubit Pauli measurement.

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37

Horiuchi, Noriaki. "Flying qubit carrying a spin qubit." Nature Photonics 7, no. 4 (2013): 336. http://dx.doi.org/10.1038/nphoton.2013.78.

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38

Bravyi, Sergey, Ruslan Shaydulin, Shaohan Hu, and Dmitri Maslov. "Clifford Circuit Optimization with Templates and Symbolic Pauli Gates." Quantum 5 (November 16, 2021): 580. http://dx.doi.org/10.22331/q-2021-11-16-580.

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The Clifford group is a finite subgroup of the unitary group generated by the Hadamard, the CNOT, and the Phase gates. This group plays a prominent role in quantum error correction, randomized benchmarking protocols, and the study of entanglement. Here we consider the problem of finding a short quantum circuit implementing a given Clifford group element. Our methods aim to minimize the entangling gate count assuming all-to-all qubit connectivity. First, we consider circuit optimization based on template matching and design Clifford-specific templates that leverage the ability to factor out Pau

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Park, Kimin, Petr Marek, Ulrik L. Andersen, and Radim Filip. "Quantum Rabi interferometry of motion and radiation." Quantum 7 (May 31, 2023): 1024. http://dx.doi.org/10.22331/q-2023-05-31-1024.

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The precise determination of a displacement of a mechanical oscillator or a microwave field in a predetermined direction in phase space can be carried out with trapped ions or superconducting circuits, respectively, by coupling the oscillator with ancilla qubits. Through that coupling, the displacement information is transferred to the qubits which are then subsequently read out. However, unambiguous estimation of displacement in an unknown direction in the phase space has not been attempted in such oscillator-qubit systems. Here, we propose a hybrid oscillator-qubit interferometric setup for

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40

Ardavan, Arzhang, Alice M. Bowen, Antonio Fernandez, et al. "Engineering coherent interactions in molecular nanomagnet dimers." npj Quantum Information 1, no. 1 (2015). http://dx.doi.org/10.1038/npjqi.2015.12.

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AbstractProposals for systems embodying condensed matter spin qubits cover a very wide range of length scales, from atomic defects in semiconductors all the way to micron-sized lithographically defined structures. Intermediate scale molecular components exhibit advantages of both limits: like atomic defects, large numbers of identical components can be fabricated; as for lithographically defined structures, each component can be tailored to optimise properties such as quantum coherence. Here we demonstrate what is perhaps the most potent advantage of molecular spin qubits, the scalability of q

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Kim, Byungjoo, Kang-Min Hu, Myung-Hyun Sohn, et al. "Qudit-based variational quantum eigensolver using photonic orbital angular momentum states." Science Advances 10, no. 43 (2024). http://dx.doi.org/10.1126/sciadv.ado3472.

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Solving the electronic structure problem is a notorious challenge in quantum chemistry and material science. Variational quantum eigensolver (VQE) is a promising hybrid classical-quantum algorithm for finding the lowest-energy configuration of a molecular system. However, it typically requires many qubits and quantum gates with substantial quantum circuit depth to accurately represent the electronic wave function of complex structures. Here, we propose an alternative approach to solve the electronic structure problem using VQE with a single qudit. Our approach exploits a high-dimensional orbit

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Cardona, Joan, Àlex Solé, Pablo Mella, et al. "Exploring Hyperfine Coupling in Molecular Qubits." Chemical Science, 2025. https://doi.org/10.1039/d5sc02500a.

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Molecular qubits represent a promising avenue for advancing quantum sensing and computing technologies, yet significant challenges remain in optimising their performance. Hyperfine coupling has a critical influence on molecular qubit...

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Chiesa, Alessandro, Paolo Santini, Elena Garlatti, Fernando Luis, and Stefano Carretta. "Molecular nanomagnets: a viable path toward quantum information processing?" Reports on Progress in Physics 87, no. 034501 (2024). https://doi.org/10.1088/1361-6633/ad1f81.

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Molecular nanomagnets (MNMs), molecules containing interacting spins, have been a playground for quantum mechanics. They are characterized by many accessible low-energy levels that can be exploited to store and process quantum information. This naturally opens the possibility of using them as qudits, thus enlarging the tools of quantum logic with respect to qubit-based architectures. These additional degrees of freedom recently prompted the proposal for encoding qubits with embedded quantum error correction (QEC) in single molecules. QEC is the holy grail of quantum computing and this qudit ap

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Vepsäläinen, Antti, Roni Winik, Amir H. Karamlou, et al. "Improving qubit coherence using closed-loop feedback." Nature Communications 13, no. 1 (2022). http://dx.doi.org/10.1038/s41467-022-29287-4.

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AbstractSuperconducting qubits are a promising platform for building a larger-scale quantum processor capable of solving otherwise intractable problems. In order for the processor to reach practical viability, the gate errors need to be further suppressed and remain stable for extended periods of time. With recent advances in qubit control, both single- and two-qubit gate fidelities are now in many cases limited by the coherence times of the qubits. Here we experimentally employ closed-loop feedback to stabilize the frequency fluctuations of a superconducting transmon qubit, thereby increasing

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Gago-Encinas, Fernando, Monika Leibscher, and Christiane Koch. "Graph test of controllability in qubit arrays: A systematic way to determine the minimum number of external controls." Quantum Science and Technology, June 26, 2023. http://dx.doi.org/10.1088/2058-9565/ace1a4.

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Abstract The ability to implement any desired quantum logic gate on a quantum processing unit is equivalent to evolution-operator controllability of the qubits. Conversely, controllability analysis can be used to minimize the resources, i.e., the number of external controls and qubit-qubit couplings, required for universal quantum computing. Standard controllability analysis, consisting in the construction of the dynamical Lie algebra, is, however, impractical already for a comparatively small number of qubits. Here, we show how to leverage an alternative approach, based on a graph representat

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Noiri, Akito, Kenta Takeda, Takashi Nakajima, et al. "A shuttling-based two-qubit logic gate for linking distant silicon quantum processors." Nature Communications 13, no. 1 (2022). http://dx.doi.org/10.1038/s41467-022-33453-z.

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AbstractControl of entanglement between qubits at distant quantum processors using a two-qubit gate is an essential function of a scalable, modular implementation of quantum computation. Among the many qubit platforms, spin qubits in silicon quantum dots are promising for large-scale integration along with their nanofabrication capability. However, linking distant silicon quantum processors is challenging as two-qubit gates in spin qubits typically utilize short-range exchange coupling, which is only effective between nearest-neighbor quantum dots. Here we demonstrate a two-qubit gate between

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Landig, A. J., J. V. Koski, P. Scarlino, et al. "Virtual-photon-mediated spin-qubit–transmon coupling." Nature Communications 10, no. 1 (2019). http://dx.doi.org/10.1038/s41467-019-13000-z.

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Abstract Spin qubits and superconducting qubits are among the promising candidates for realizing a solid state quantum computer. For the implementation of a hybrid architecture which can profit from the advantages of either approach, a coherent link is necessary that integrates and controllably couples both qubit types on the same chip over a distance that is several orders of magnitude longer than the physical size of the spin qubit. We realize such a link with a frequency-tunable high impedance SQUID array resonator. The spin qubit is a resonant exchange qubit hosted in a GaAs triple quantum

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Chicco, Simone, Alessandro Chiesa, Giuseppe Allodi, et al. "Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear qudit with an electronic ancilla." Chemical Science, 2021. http://dx.doi.org/10.1039/d1sc01358k.

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By a combined theoretical and broadband nuclear magnetic resonance study, we show that [VOTPP] is a coupled electronic qubit-nuclear qudit system suitable to implement qudit-based quantum error correction and quantum simulation algorithms.

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Yoneda, J., W. Huang, M. Feng, et al. "Coherent spin qubit transport in silicon." Nature Communications 12, no. 1 (2021). http://dx.doi.org/10.1038/s41467-021-24371-7.

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AbstractA fault-tolerant quantum processor may be configured using stationary qubits interacting only with their nearest neighbours, but at the cost of significant overheads in physical qubits per logical qubit. Such overheads could be reduced by coherently transporting qubits across the chip, allowing connectivity beyond immediate neighbours. Here we demonstrate high-fidelity coherent transport of an electron spin qubit between quantum dots in isotopically-enriched silicon. We observe qubit precession in the inter-site tunnelling regime and assess the impact of qubit transport using Ramsey in

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Jurcevic, Petar, and Luke C. G. Govia. "Effective qubit dephasing induced by spectator-qubit relaxation." Quantum Science and Technology, August 25, 2022. http://dx.doi.org/10.1088/2058-9565/ac8cad.

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Abstract In many leading architectures for quantum computing, it remains to be understood if we can equate single-qubit coherence times measured in isolation, to that of coherence times measured in multi-qubit devices. On a multi-qubit superconducting circuit platform we show an increase in the dephasing rate of a control qubit due to the spontaneous relaxation of spectator qubits coupled to the control qubit. We attribute this increased dephasing to random in time Z-phase kicks on the control qubit due to the interplay between spectator relaxation and the control-spectator ZZ- interaction. We

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