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Journal articles on the topic 'Topological Qubits'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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1

Scappucci, G., P. J. Taylor, J. R. Williams, T. Ginley, and S. Law. "Crystalline materials for quantum computing: Semiconductor heterostructures and topological insulators exemplars." MRS Bulletin 46, no. 7 (2021): 596–606. http://dx.doi.org/10.1557/s43577-021-00147-8.

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AbstractHigh-purity crystalline solid-state materials play an essential role in various technologies for quantum information processing, from qubits based on spins to topological states. New and improved crystalline materials emerge each year and continue to drive new results in experimental quantum science. This article summarizes the opportunities for a selected class of crystalline materials for qubit technologies based on spins and topological states and the challenges associated with their fabrication. We start by describing semiconductor heterostructures for spin qubits in gate-defined q
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2

Sun, Xiaopei, Bing Li, Enna Zhuo, et al. "Realization of superconducting transmon qubits based on topological insulator nanowires." Applied Physics Letters 122, no. 15 (2023): 154001. http://dx.doi.org/10.1063/5.0140079.

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Topological-material-based Josephson junctions have the potential to be used to host Majorana zero modes and to construct topological qubits. For operating the topological qubits at an appropriate timescale to avoid decoherence and quasiparticle poisoning, one would eventually go to the time domain and embed the topological qubits into quantum electrodynamic circuits. Here, we constructed a topological-insulator-nanowire-based transmon qubit and demonstrated its strong coupling to a coplanar waveguide resonator. The flux-tunable spectrum and Rabi oscillations with a qubit lifetime [Formula: se
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3

Chao, Rui, Michael E. Beverland, Nicolas Delfosse, and Jeongwan Haah. "Optimization of the surface code design for Majorana-based qubits." Quantum 4 (October 28, 2020): 352. http://dx.doi.org/10.22331/q-2020-10-28-352.

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The surface code is a prominent topological error-correcting code exhibiting high fault-tolerance accuracy thresholds. Conventional schemes for error correction with the surface code place qubits on a planar grid and assume native CNOT gates between the data qubits with nearest-neighbor ancilla qubits.Here, we present surface code error-correction schemes using only Pauli measurements on single qubits and on pairs of nearest-neighbor qubits. In particular, we provide several qubit layouts that offer favorable trade-offs between qubit overhead, circuit depth and connectivity degree. We also dev
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4

Ahsan, Muhammad, and Syed Abbas Zilqurnain Naqvi. "Performance of topological quantum error correction in the presence of correlated noise." Quantum Information and Computation 18, no. 9&10 (2018): 743–78. http://dx.doi.org/10.26421/qic18.9-10-2.

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We investigate the efficacy of topological quantum error-correction in correlated noise model which permits collective coupling of all the codeword qubits to the same non-Markovian environment. In this noise model, the probability distribution over set of phase-flipped qubits, decays sub-exponentially in the size of the set and carries non-trivial likelihood of the occurring large numbers of qubits errors. We find that in the presence of noise correlation, one cannot guarantee arbitrary high computational accuracy simply by incrementing the codeword size while retaining constant noise level pe
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5

Oreg, Yuval, and Felix von Oppen. "Majorana Zero Modes in Networks of Cooper-Pair Boxes: Topologically Ordered States and Topological Quantum Computation." Annual Review of Condensed Matter Physics 11, no. 1 (2020): 397–420. http://dx.doi.org/10.1146/annurev-conmatphys-031218-013618.

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Recent experimental progress introduced devices that can combine topological superconductivity with Coulomb-blockade effects. Experiments with these devices have already provided additional evidence for Majorana zero modes in proximity-coupled semiconductor wires. They also stimulated numerous ideas for how to exploit interactions between Majorana zero modes generated by Coulomb charging effects in networks of Majorana wires. Coulomb effects promise to become a powerful tool in the quest for a topological quantum computer as well as for driving topological superconductors into topologically or
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6

Planat, Michel, David Chester, Marcelo M. Amaral, and Klee Irwin. "Fricke Topological Qubits." Quantum Reports 4, no. 4 (2022): 523–32. http://dx.doi.org/10.3390/quantum4040037.

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We recently proposed that topological quantum computing might be based on SL(2,C) representations of the fundamental group π1(S3\K) for the complement of a link K in the three-sphere. The restriction to links whose associated SL(2,C) character variety V contains a Fricke surface κd=xyz−x2−y2−z2+d is desirable due to the connection of Fricke spaces to elementary topology. Taking K as the Hopf link L2a1, one of the three arithmetic two-bridge links (the Whitehead link 512, the Berge link 622 or the double-eight link 632) or the link 732, the V for those links contains the reducible component κ4,
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7

Edwards, Chris. "Tales of Topological Qubits." Communications of the ACM 66, no. 12 (2023): 8–10. http://dx.doi.org/10.1145/3624436.

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8

Jaeger, Gregg, David Simon, and Alexander Sergienko. "Topological Qubits as Carriers of Quantum Information in Optics." Applied Sciences 9, no. 3 (2019): 575. http://dx.doi.org/10.3390/app9030575.

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Winding number is a topologically significant quantity that has found valuable applications in various areas of mathematical physics. Here, topological qubits are shown capable of formation from winding number superpositions and so of being used in the communication of quantum information in linear optical systems, the most common realm for quantum communication. In particular, it is shown that winding number qubits appear in several aspects of such systems, including quantum electromagnetic states of spin, momentum, orbital angular momentum, polarization of beams of particles propagating in f
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9

PAVLYUKH, YAROSLAV, and A. R. P. RAU. "1-, 2-, AND 6-QUBITS, AND THE RAMANUJAN–NAGELL THEOREM." International Journal of Quantum Information 11, no. 06 (2013): 1350056. http://dx.doi.org/10.1142/s0219749913500561.

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A conjecture of Ramanujan that was later proved by Nagell is used to show on the basis of matching dimensions that only three n-qubit systems, for n = 1, 2, 6, can possibly share an isomorphism of their symmetry algebras with those of rotations in corresponding dimensions 3, 6, 91. Such isomorphisms are valuable for use in quantum information. Simple algebraic analysis, however, already rules out the last case so that one and two qubits are the only instances of such isomorphism of the algebras and of a local homomorphism of the corresponding symmetry groups. A more mathematical topological an
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10

Hill, Charles D., Eldad Peretz, Samuel J. Hile, et al. "A surface code quantum computer in silicon." Science Advances 1, no. 9 (2015): e1500707. http://dx.doi.org/10.1126/sciadv.1500707.

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The exceptionally long quantum coherence times of phosphorus donor nuclear spin qubits in silicon, coupled with the proven scalability of silicon-based nano-electronics, make them attractive candidates for large-scale quantum computing. However, the high threshold of topological quantum error correction can only be captured in a two-dimensional array of qubits operating synchronously and in parallel—posing formidable fabrication and control challenges. We present an architecture that addresses these problems through a novel shared-control paradigm that is particularly suited to the natural uni
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11

Yu, Min, Pengcheng Yang, Musang Gong, et al. "Experimental measurement of the quantum geometric tensor using coupled qubits in diamond." National Science Review 7, no. 2 (2019): 254–60. http://dx.doi.org/10.1093/nsr/nwz193.

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Abstract Geometry and topology are fundamental concepts, which underlie a wide range of fascinating physical phenomena such as topological states of matter and topological defects. In quantum mechanics, the geometry of quantum states is fully captured by the quantum geometric tensor. Using a qubit formed by an NV center in diamond, we perform the first experimental measurement of the complete quantum geometric tensor. Our approach builds on a strong connection between coherent Rabi oscillations upon parametric modulations and the quantum geometry of the underlying states. We then apply our met
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12

Zhan, Ye-Min, Yu-Ge Chen, Bin Chen, Ziqiang Wang, Yue Yu, and Xi Luo. "Universal topological quantum computation with strongly correlated Majorana edge modes." New Journal of Physics 24, no. 4 (2022): 043009. http://dx.doi.org/10.1088/1367-2630/ac5f87.

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Abstract Majorana-based quantum gates are not complete for performing universal topological quantum computation while Fibonacci-based gates are difficult to be realized electronically and hardly coincide with the conventional quantum circuit models. In reference Hu and Kane (2018 Phys. Rev. Lett. 120 066801), it has been shown that a strongly correlated Majorana edge mode in a chiral topological superconductor can be decomposed into a Fibonacci anyon τ and a thermal operator anyon ɛ in the tricritical Ising model. The deconfinement of τ and ɛ via the interaction between the fermion modes yield
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13

Zurita, Juan, Andrés Agustí Casado, Charles E. Creffield, and Gloria Platero. "Multipartite entanglement distribution in a topological photonic network." Quantum 9 (February 10, 2025): 1625. https://doi.org/10.22331/q-2025-02-10-1625.

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In the ongoing effort towards a scalable quantum computer, multiple technologies have been proposed. Some of them exploit topological materials to process quantum information. In this work, we propose a lattice of photonic cavities with alternating hoppings to create a modified multidomain SSH chain, that is, a sequence of topological insulators made from chains of dimers. A qubit is then coupled to each boundary. We show this system is well suited for quantum information processing because topological transfer of photons through this one-dimensional lattice can entangle any set of qubits on d
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14

Aguado, Ramón, and Leo P. Kouwenhoven. "Majorana qubits for topological quantum computing." Physics Today 73, no. 6 (2020): 44–50. http://dx.doi.org/10.1063/pt.3.4499.

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15

Zhang, Xu, Wenjie Jiang, Jinfeng Deng, et al. "Digital quantum simulation of Floquet symmetry-protected topological phases." Nature 607, no. 7919 (2022): 468–73. http://dx.doi.org/10.1038/s41586-022-04854-3.

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AbstractQuantum many-body systems away from equilibrium host a rich variety of exotic phenomena that are forbidden by equilibrium thermodynamics. A prominent example is that of discrete time crystals1–8, in which time-translational symmetry is spontaneously broken in periodically driven systems. Pioneering experiments have observed signatures of time crystalline phases with trapped ions9,10, solid-state spin systems11–15, ultracold atoms16,17 and superconducting qubits18–20. Here we report the observation of a distinct type of non-equilibrium state of matter, Floquet symmetry-protected topolog
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16

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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17

Ul Haq, Rukhsan, and Louis H. Kauffman. "Z2 Topological Order and Topological Protection of Majorana Fermion Qubits." Condensed Matter 6, no. 1 (2021): 11. http://dx.doi.org/10.3390/condmat6010011.

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The Kitaev chain model exhibits topological order that manifests as topological degeneracy, Majorana edge modes and Z2 topological invariant of the bulk spectrum. This model can be obtained from a transverse field Ising model(TFIM) using the Jordan–Wigner transformation. TFIM has neither topological degeneracy nor any edge modes. Topological degeneracy associated with topological order is central to topological quantum computation. In this paper, we explore topological protection of the ground state manifold in the case of Majorana fermion models which exhibit Z2 topological order. We show tha
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18

Liu, Wenjie, Yongguan Ke, Zhoutao Lei, and Chaohong Lee. "Magnon boundary states tailored by longitudinal spin–spin interactions and topology." New Journal of Physics 25, no. 9 (2023): 093042. http://dx.doi.org/10.1088/1367-2630/acf8ea.

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Abstract Since longitudinal spin–spin interaction is ubiquitous in magnetic materials, it is very interesting to explore the interplay between topology and longitudinal spin–spin interaction. Here, we examine the role of longitudinal spin–spin interaction on topological magnon excitations. Remarkably, even for single-magnon excitations, we discover topological edge states and defect edge states of magnon excitations in a dimerized Heisenberg XXZ chain and their topological properties can be distinguished via adiabatic quantum transport. We uncover topological phase transitions induced by longi
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19

Rangani, H., and S. Haseli. "Quantum memory and quantum correlations of Majorana qubits used for magnetometry." quantum Information and Computation 20, no. 11&12 (2020): 935–56. http://dx.doi.org/10.26421/qic20.11-12-2.

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We address how the non-local nature of the topological qubits, realized by Majorana modes and driven by an external magnetic field, can be used to control the non-Markovian dynamics of the system. It is also demonstrated that the non-local characteristic plays a key role in control and protection of quantum correlations between Majorana qubits. Moreover, we discuss how those non-local qubits help us to enhance quantum magnetometry.
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20

Yoder, Theodore J., and Isaac H. Kim. "The surface code with a twist." Quantum 1 (April 25, 2017): 2. http://dx.doi.org/10.22331/q-2017-04-25-2.

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The surface code is one of the most successful approaches to topological quantum error-correction. It boasts the smallest known syndrome extraction circuits and correspondingly largest thresholds. Defect-based logical encodings of a new variety called twists have made it possible to implement the full Clifford group without state distillation. Here we investigate a patch-based encoding involving a modified twist. In our modified formulation, the resulting codes, called triangle codes for the shape of their planar layout, have only weight-four checks and relatively simple syndrome extraction ci
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21

Gupta, Dr Pankaj Kumar, Dr Ajay Kumar, Prof Vikas Singal, and Priyansh Singh. "Quantum Hardware Development: A New Era of Computing in the Quantum Fields." International Research Journal of Computer Science 11, no. 01 (2024): 35–43. http://dx.doi.org/10.26562/irjcs.2024.v1101.07.

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Quantum computing represents a revolution in the ability to process information, and quantum hardware technology underpins its implementation. This work examines the current landscape of quantum hardware development, focusing specifically on three main technologies: superconducting qubits, trapped ions, and topological qubits. This study provides an in-depth analysis of the current state of each technology, taking into account its strengths, challenges and opportunities. Research is aimed at identifying current limitations and inefficiencies in this quantum hardware. Additionally, this study a
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22

BIGELOW, STEPHEN, and CLAIRE LEVAILLANT. "AN EXACT ENTANGLING GATE USING FIBONACCI ANYONS." Bulletin of the Australian Mathematical Society 99, no. 2 (2018): 319–26. http://dx.doi.org/10.1017/s0004972718001028.

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Fibonacci anyons are attractive for use in topological quantum computation because any unitary transformation of their state space can be approximated arbitrarily accurately by braiding. However, there is no known braid that entangles two qubits without leaving the space spanned by the two qubits. In other words, there is no known ‘leakage-free’ entangling gate made by braiding. In this paper, we provide a remedy to this problem by supplementing braiding with measurement operations in order to produce an exact controlled rotation gate on two qubits.
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23

Li, Aoqing, Fan Li, Qidi Gan, and Hongyang Ma. "Convolutional-Neural-Network-Based Hexagonal Quantum Error Correction Decoder." Applied Sciences 13, no. 17 (2023): 9689. http://dx.doi.org/10.3390/app13179689.

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Topological quantum error-correcting codes are an important tool for realizing fault-tolerant quantum computers. Heavy hexagonal coding is a new class of quantum error-correcting coding that assigns physical and auxiliary qubits to the vertices and edges of a low-degree graph. The layout of heavy hexagonal codes is particularly suitable for superconducting qubit architectures to reduce frequency conflicts and crosstalk. Although various topological code decoders have been proposed, constructing the optimal decoder remains challenging. Machine learning is an effective decoding scheme for topolo
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24

González-Contreras, Jordi Fabián, Erik Zamora, Jesús Yaljá Montiel-Pérez, Juan Humberto Sossa-Azuela, Elsa Rubio-Espino, and Víctor Hugo Ponce-Ponce. "Quantum Surface Topological Code for Bell State Stabilization in Superconducting Physical Qubit Systems." Mathematics 13, no. 13 (2025): 2041. https://doi.org/10.3390/math13132041.

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Stabilizing quantum states in physical qubits quantum computers has been a widely explored topic in the Noisy Intermediate-Scale Quantum era. However, much of this work has focused on simulation rather than practical implementation. In this study, an experimental advancement in Bell state stabilization is presented, which utilizes surface codes for quantum error correction across three quantum computers: ibm_fez, ibm_torino, and ibm_brisbane. Our findings indicate that error correction produces an improvement of approximately 3% in accuracy for 127-qubit systems while demonstrating a more sign
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25

Kesselring, Markus S., Fernando Pastawski, Jens Eisert, and Benjamin J. Brown. "The boundaries and twist defects of the color code and their applications to topological quantum computation." Quantum 2 (October 19, 2018): 101. http://dx.doi.org/10.22331/q-2018-10-19-101.

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The color code is both an interesting example of an exactly solved topologically ordered phase of matter and also among the most promising candidate models to realize fault-tolerant quantum computation with minimal resource overhead. The contributions of this work are threefold. First of all, we build upon the abstract theory of boundaries and domain walls of topological phases of matter to comprehensively catalog the objects realizable in color codes. Together with our classification we also provide lattice representations of these objects which include three new types of boundaries as well a
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26

Delfosse, Nicolas, and Naomi H. Nickerson. "Almost-linear time decoding algorithm for topological codes." Quantum 5 (December 2, 2021): 595. http://dx.doi.org/10.22331/q-2021-12-02-595.

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In order to build a large scale quantum computer, one must be able to correct errors extremely fast. We design a fast decoding algorithm for topological codes to correct for Pauli errors and erasure and combination of both errors and erasure. Our algorithm has a worst case complexity of O(nα(n)), where n is the number of physical qubits and α is the inverse of Ackermann's function, which is very slowly growing. For all practical purposes, α(n)≤3. We prove that our algorithm performs optimally for errors of weight up to (d−1)/2 and for loss of up to d−1 qubits, where d is the minimum distance o
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27

Parrado-Rodríguez, Pedro, Ciarán Ryan-Anderson, Alejandro Bermudez, and Markus Müller. "Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions." Quantum 5 (June 29, 2021): 487. http://dx.doi.org/10.22331/q-2021-06-29-487.

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Physical qubits in experimental quantum information processors are inevitably exposed to different sources of noise and imperfections, which lead to errors that typically accumulate hindering our ability to perform long computations reliably. Progress towards scalable and robust quantum computation relies on exploiting quantum error correction (QEC) to actively battle these undesired effects. In this work, we present a comprehensive study of crosstalk errors in a quantum-computing architecture based on a single string of ions confined by a radio-frequency trap, and manipulated by individually-
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28

Mezzacapo, A., J. Casanova, L. Lamata, and E. Solano. "Topological qubits with Majorana fermions in trapped ions." New Journal of Physics 15, no. 3 (2013): 033005. http://dx.doi.org/10.1088/1367-2630/15/3/033005.

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29

Ho, Shih-Hao, Sung-Po Chao, Chung-Hsien Chou, and Feng-Li Lin. "Decoherence patterns of topological qubits from Majorana modes." New Journal of Physics 16, no. 11 (2014): 113062. http://dx.doi.org/10.1088/1367-2630/16/11/113062.

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30

WANG Runting, WANG Xudong, MEI Feng, XIAO Liantuan, and JIA Suotang. "Controlling single-photon scattering via artificial gauge fields." Acta Physica Sinica 74, no. 8 (2025): 0. https://doi.org/10.7498/aps.74.20250021.

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We investigate the control mechanisms of single-photon scattering in a hybrid system consisting of superconducting qubits coupled to an SSH (Su-Schrieffer-Heeger) topological photonic lattice under the influence of an artificial gauge field. This research is driven by the growing interest at the intersection of quantum optics and condensed matter physics, particularly in the realm of topological quantum optics, where the robustness of photon transport against defects and impurities can be exploited for quantum information processing. To achieve this, we develop a theoretical model that incorpo
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31

Lechner, Wolfgang, Philipp Hauke, and Peter Zoller. "A quantum annealing architecture with all-to-all connectivity from local interactions." Science Advances 1, no. 9 (2015): e1500838. http://dx.doi.org/10.1126/sciadv.1500838.

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Quantum annealers are physical devices that aim at solving NP-complete optimization problems by exploiting quantum mechanics. The basic principle of quantum annealing is to encode the optimization problem in Ising interactions between quantum bits (qubits). A fundamental challenge in building a fully programmable quantum annealer is the competing requirements of full controllable all-to-all connectivity and the quasi-locality of the interactions between physical qubits. We present a scalable architecture with full connectivity, which can be implemented with local interactions only. The input o
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32

Criger, Ben, and Barbara Terhal. "Noise thresholds for the [4,2,2]-concatenated toric code." Quantum Information and Computation 16, no. 15&16 (2016): 1261–81. http://dx.doi.org/10.26421/qic16.15-16-1.

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We analyze the properties of a 2D topological code derived by concatenating the J4, 2, 2K code with the toric/surface code, or alternatively by removing check operators from the 2D square-octagon or 4.8.8 color code. We show that the resulting code has a circuit-based noise threshold of ~ 0.41% (compared to ~ 0.6% for the toric code in a similar scenario), which is higher than any known 2D color code. We believe that the construction may be of interest for hardware in which one wants to use both long-range two-qubit gates as well as short-range gates between small clusters of qubits.
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33

Löffler, Stefan, Thomas Schachinger, Peter Hartel, et al. "A quantum logic gate for free electrons." Quantum 7 (July 11, 2023): 1050. http://dx.doi.org/10.22331/q-2023-07-11-1050.

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The topological charge m of vortex electrons spans an infinite-dimensional Hilbert space. Selecting a two-dimensional subspace spanned by m=±1, a beam electron in a transmission electron microscope (TEM) can be considered as a quantum bit (qubit) freely propagating in the column. A combination of electron optical quadrupole lenses can serve as a universal device to manipulate such qubits at the experimenter's discretion. We set up a TEM probe forming lens system as a quantum gate and demonstrate its action numerically and experimentally. High-end TEMs with aberration correctors are
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34

Bravyi, Sergey, Guillaume Duclos-Cianci, David Poulin, and Martin Suchara. "Subsystem surface codes with three-qubit check operators." Quantum Information and Computation 13, no. 11&12 (2013): 963–85. http://dx.doi.org/10.26421/qic13.11-12-4.

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We propose a simplified version of the Kitaev's surface code in which error correction requires only three-qubit parity measurements for Pauli operators XXX and ZZZ. The new code belongs to the class of subsystem stabilizer codes. It inherits many favorable properties of the standard surface code such as encoding of multiple logical qubits on a planar lattice with punctured holes, efficient decoding by either minimum-weight matching or renormalization group methods, and high error threshold. The new subsystem surface code (SSC) gives rise to an exactly solvable Hamiltonian with 3-qubit interac
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35

Kotetes, Panagiotis, Gerd Schön, and Alexander Shnirman. "Engineering and manipulating topological qubits in 1D quantum wires." Journal of the Korean Physical Society 62, no. 10 (2013): 1558–63. http://dx.doi.org/10.3938/jkps.62.1558.

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36

Li, Jun, and Yan Zou. "Quantum information transfer between topological and conventional charge qubits." Chinese Physics B 25, no. 2 (2016): 027302. http://dx.doi.org/10.1088/1674-1056/25/2/027302.

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37

Benjamin, Colin. "Strain designed Josephson π -junction qubits with topological insulators". EPL (Europhysics Letters) 110, № 5 (2015): 50003. http://dx.doi.org/10.1209/0295-5075/110/50003.

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38

Hwang, Kyusung. "Mixed-State Quantum Spin Liquids and Dynamical Anyon Condensations in Kitaev Lindbladians." Quantum 8 (July 17, 2024): 1412. http://dx.doi.org/10.22331/q-2024-07-17-1412.

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Quantum spin liquids and anyons, used to be subjects of condensed matter physics, now are realized in various platforms of qubits, offering unprecedented opportunities to investigate fundamental physics of many-body quantum entangled states. Qubits are inevitably exposed to environment effects such as decoherence and dissipation, which are believed to be detrimental to many-body entanglement. Here, we argue that unlike the common belief decoherence and dissipation can give rise to novel topological phenomena in quantum spin liquids. We study open quantum systems of the Kitaev spin liquid and t
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39

Chen, Jianfei, Chaohua Wu, Jingtao Fan, and Gang Chen. "Characterizing topological phase of superlattices in superconducting circuits." Chinese Physics B, February 17, 2022. http://dx.doi.org/10.1088/1674-1056/ac5612.

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Abstract The recent experimental observation of topological magnon insulator states in a superconducting circuit chain marks a breakthrough for topological physics with qubits. In that study, a dimerized qubit chain was realized. Here, we extend such dimer lattice to superlattice with arbitrary number of qubits in each unit cell in superconducting circuits, which exhibit rich topological properties. Specifically, by considering a quadrimeric superlattice, we show that the topological invariant (winding number) can be effectively characterized by the dynamics of the single-excitation quantum st
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40

Zhang, Yang, Yun-Qiu Ge, and Yu-xi Liu. "Simulation of Kitaev chain using one-dimensional chain of superconducting qubits and environmental effects on topological states." Journal of Applied Physics 136, no. 6 (2024). http://dx.doi.org/10.1063/5.0224271.

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Kitaev chain is one of the important physical models for studying topological quantum states and quantum computing. We here propose an approach to simulate the one-dimensional Kitaev chain via a circuit of superconducting qubits. In our approach, all coupling parameters can be controlled independently, and a nontrivial gauge phase is constructed. We also study the environmental effects on the topological states of the Kitaev chain. In addition to the independent environment surrounding each qubit, we consider the common environment shared by neighboring qubits. Such an environment can generate
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41

Tran, Alan, Alex Bocharov, Bela Bauer, and Parsa Bonderson. "Optimizing Clifford gate generation for measurement-only topological quantum computation with Majorana zero modes." SciPost Physics 8, no. 6 (2020). http://dx.doi.org/10.21468/scipostphys.8.6.091.

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One of the main challenges for quantum computation is that while the number of gates required to perform a non-trivial quantum computation may be very large, decoherence and errors in realistic quantum architectures limit the number of physical gate operations that can be performed coherently. Therefore, an optimal mapping of the quantum algorithm into the physically available set of operations is of crucial importance. We examine this problem for a measurement-only topological quantum computer based on Majorana zero modes, where gates are performed through sequences of measurements. Such a sc
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42

Xu, Shibo, Zheng-Zhi Sun, Ke Wang, et al. "Digital simulation of projective non-Abelian anyons with 68 superconducting qubits." Chinese Physics Letters, May 8, 2023. http://dx.doi.org/10.1088/0256-307x/40/6/060301.

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Abstract Non-Abelian anyons are exotic quasiparticle excitations hosted by certain topological phases of matter. They break the fermion-boson dichotomy and obey non-Abelian braiding statistics: their interchanges yield unitary operations, rather than merely a phase factor, in a space spanned by topologically degenerate wavefunctions. They are the building blocks of topological quantum computing. However, experimental observation of non-Abelian anyons and their characterizing braiding statistics is notoriously challenging and has remained elusive hitherto, in spite of various theoretical propos
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43

Calzona, Alessio, Nicolas Bauer, and Björn Trauzettel. "Holonomic implementation of CNOT gate on topological Majorana qubits." SciPost Physics Core 3, no. 2 (2020). http://dx.doi.org/10.21468/scipostphyscore.3.2.014.

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The CNOT gate is a two-qubit gate which is essential for universal quantum computation. A well-established approach to implement it within Majorana-based qubits relies on subsequent measurement of (joint) Majorana parities. We propose an alternative scheme which operates a protected CNOT gate via the holonomic control of a handful of system parameters, without requiring any measurement. We show how the adiabatic tuning of pair-wise couplings between Majoranas can robustly lead to the full entanglement of two qubits, insensitive with respect to small variations in the control of the parameters.
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44

Iqbal, Mohsin, Anasuya Lyons, Chiu Fan Bowen Lo, et al. "Qutrit toric code and parafermions in trapped ions." Nature Communications 16, no. 1 (2025). https://doi.org/10.1038/s41467-025-61391-z.

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Abstract The development of programmable quantum devices can be measured by the complexity of many-body states that they are able to prepare. Among the most significant are topologically ordered states of matter, which enable robust quantum information storage and processing. While topological orders are more readily accessible with qudits, experimental realizations have thus far been limited to lattice models of qubits. Here, we prepare and measure a ground state of the $${{\mathbb{Z}}}_{3}$$ Z 3 toric code state on 24 qutrits (obtained by encoding one qutrit into two qubits) in a trapped ion
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45

Krasnok, Alex, Pashupati Dhakal, Arkady Fedorov, Pedro Frigola, Michael Kelly, and Sergey Kutsaev. "Superconducting microwave cavities and qubits for quantum information systems." Applied Physics Reviews 11, no. 1 (2024). http://dx.doi.org/10.1063/5.0155213.

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Superconducting microwave cavities featuring ultrahigh Q-factors, which measure the efficiency of energy storage in relation to energy loss in a system, are revolutionizing quantum computing by providing long coherence times exceeding 1 ms, crucial for the development of scalable multi-qubit quantum systems with low error rates. In this work, we provide an in-depth analysis of recent advances in ultrahigh Q-factor cavities, integration of Josephson junction-based qubits, and bosonic-encoded qubits in 3D cavities. We examine the sources of quantum state dephasing caused by damping and noise mec
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46

Hetényi, Bence, and James R. Wootton. "Creating Entangled Logical Qubits in the Heavy-Hex Lattice with Topological Codes." PRX Quantum 5, no. 4 (2024). https://doi.org/10.1103/prxquantum.5.040334.

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Designs for quantum error correction depend strongly on the connectivity of the qubits. For solid-state qubits, the most straightforward approach is to have connectivity constrained to a planar graph. Practical considerations may also further restrict the connectivity, resulting in a relatively sparse graph such as the heavy-hexagonal (“heavy-hex”) architecture of current IBM Quantum devices. In such cases, it is hard to use all qubits to their full potential. Instead, in order to emulate the denser connectivity required to implement well-known quantum error-correcting codes, many qubits remai
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47

Guan xin and Chen Gang. "Topological nodal points on two-leg superconducting circuits." Acta Physica Sinica, 2023, 0. http://dx.doi.org/10.7498/aps.72.20230152.

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As the connection of the different topological quantum phases, topological gapless systems have attracted much attention. The emergence of topological nodal points is typically observed in gapless systems with two or three dimensions, whereas we demonstrate the existence of a topological nodal points in a model that lies between one and two dimensions in this paper. Superconducting circuits as an essential All-solid state quantum device have become a promising platform for macro-controlling quantum effect. Recently, experimental achievements have enabled the realization of tunable coupling str
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48

Guo, Guo-Liang, Han-Bing Leng, and Xin Liu. "Parity-spin superconducting qubit based on topological insulators." New Journal of Physics, May 14, 2024. http://dx.doi.org/10.1088/1367-2630/ad4b58.

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Abstract We propose to utilize two parity-protected qubits which are built based on superconductor/topological-insulator/superconductor (SC/TI/SC) Josephson junction to implement a parity-spin superconducting qubit. The SC/TI/SC Josephson junctions have identical Josephson potential, which is robust against fabrication variations and guarantees the reliable cos 2ϕ energy-phase relation for implementing a parity-protected qubit. By viewing the even and odd parity ground states of a single parity-protected qubit as spin-1
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49

Zhang, Tao, Peng Xu, Jiazhong Hu, and Xingze Qiu. "Quantum sensing with topological-paired bound states." New Journal of Physics, May 14, 2025. https://doi.org/10.1088/1367-2630/add8b0.

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Abstract We present an efficient and robust protocol for quantum-enhanced sensing using a single qubit in the topological waveguide system. Our method relies on the topological-paired bound states, which are localized near the qubit and can be effectively regarded as a two-level system. Through the lens of Bayesian inference theory, we show that the sensitivity can reach the Heisenberg limit across a large field range. Inheriting from the topological robustness of the waveguide, our sensing protocol is robust against local perturbations. Besides, our sensing protocol utilizes a product state a
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50

Pendharkar, M., B. Zhang, H. Wu, et al. "Parity-preserving and magnetic field–resilient superconductivity in InSb nanowires with Sn shells." April 15, 2021. https://doi.org/10.1126/science.aba5211.

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Move aside, aluminum Some of the most promising schemes for quantum information processing involve superconductors. In addition to the established superconducting qubits, topological qubits may one day be realized in semiconductor-superconductor heterostructures. The superconductor most widely used in this context is aluminum, in which processes that cause decoherence are suppressed. Pendharkar et al. go beyond this paradigm to show that superconducting tin can be used in place of aluminum (see the Perspective by Fatemi and Devoret). The authors grew nanowires of indium antimonide, which is a
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