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1

Pioraş-Ţimbolmaş, Larisa-Milena, Levente Máthé, and Liviu P. Zârbo. "Circuit-QED for Multi-Loop Fluxonium-Type Qubits." Photonics 12, no. 5 (2025): 417. https://doi.org/10.3390/photonics12050417.

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Fluxonium qubits, designed to mitigate charge noise and enhance anharmonicity, are among the most promising superconducting platforms for quantum computing. To understand and exploit their quantum properties and design novel fluxonium-based architectures with improved functionalities, these systems require an accurate Hamiltonian formulation to capture their energy level structure and quantum dynamics. This work presents a systematic method for constructing the Hamiltonian for multi-loop circuits that partitions the system into a set of uncoupled harmonic oscillators and a coupled anharmonic p
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2

Rastelli, Gianluca, Mihajlo Vanević, and Wolfgang Belzig. "Coherent dynamics in long fluxonium qubits." New Journal of Physics 17, no. 5 (2015): 053026. http://dx.doi.org/10.1088/1367-2630/17/5/053026.

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3

Moskalenko, I. N., I. S. Besedin, I. A. Tsitsilin, et al. "Planar Architecture for Studying a Fluxonium Qubit." JETP Letters 110, no. 8 (2019): 574–79. http://dx.doi.org/10.1134/s0021364019200074.

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4

Manucharyan, V. E., J. Koch, L. I. Glazman, and M. H. Devoret. "Fluxonium: Single Cooper-Pair Circuit Free of Charge Offsets." Science 326, no. 5949 (2009): 113–16. http://dx.doi.org/10.1126/science.1175552.

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5

Moskalenko, I. N., I. S. Besedin, I. A. Simakov, and A. V. Ustinov. "Tunable coupling scheme for implementing two-qubit gates on fluxonium qubits." Applied Physics Letters 119, no. 19 (2021): 194001. http://dx.doi.org/10.1063/5.0064800.

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6

Spilla, Samuele, Fabian Hassler, Anna Napoli, and Janine Splettstoesser. "Dephasing due to quasiparticle tunneling in fluxonium qubits: a phenomenological approach." New Journal of Physics 17, no. 6 (2015): 065012. http://dx.doi.org/10.1088/1367-2630/17/6/065012.

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7

Yang, Yuchen, Zhongtao Shen, Xing Zhu, et al. "FPGA-based electronic system for the control and readout of superconducting quantum processors." Review of Scientific Instruments 93, no. 7 (2022): 074701. http://dx.doi.org/10.1063/5.0085467.

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Electronic systems for qubit control and measurement serve as a bridge between quantum programming language and quantum information processors. With the rapid development of superconducting quantum circuit technology, synchronization in a large-scale system, low-latency execution, and low noise are required for electronic systems. Here, we present a field-programmable gate array (FPGA)-based electronic system with a distributed synchronous clock and trigger architecture. The system supports synchronous control of qubits with jitters of ∼5 ps. We implement a real-time digital signal processing
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8

Gusenkova, Daria, Francesco Valenti, Martin Spiecker, et al. "Operating in a deep underground facility improves the locking of gradiometric fluxonium qubits at the sweet spots." Applied Physics Letters 120, no. 5 (2022): 054001. http://dx.doi.org/10.1063/5.0075909.

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9

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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10

Raissi, F., and J. E. Nordman. "Josephson fluxonic diode." Applied Physics Letters 65, no. 14 (1994): 1838–40. http://dx.doi.org/10.1063/1.112859.

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11

Milošević, M. V., G. R. Berdiyorov, and F. M. Peeters. "Fluxonic cellular automata." Applied Physics Letters 91, no. 21 (2007): 212501. http://dx.doi.org/10.1063/1.2813047.

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12

Dobrovolskiy, Oleksandr V. "Abrikosov fluxonics in washboard nanolandscapes." Physica C: Superconductivity and its Applications 533 (February 2017): 80–90. http://dx.doi.org/10.1016/j.physc.2016.07.008.

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13

Hammond, Phillip J., Paul D. Beer, Clare Dudman, et al. "Fluxonial cryptands containing metallocene units." Journal of Organometallic Chemistry 306, no. 3 (1986): 367–74. http://dx.doi.org/10.1016/s0022-328x(00)98998-8.

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14

Raissi, F. "Josephson Fluxonic Bipolar Junction Transistor." IEEE Transactions on Appiled Superconductivity 14, no. 1 (2004): 87–93. http://dx.doi.org/10.1109/tasc.2004.824337.

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15

Raissi, F., and A. Erfanian. "Disappearance of Fiske Steps in Josephson Fluxonic Diode and Josephson Fluxonic Bipolar Junction Transistor." IEEE Transactions on Appiled Superconductivity 15, no. 3 (2005): 3831–35. http://dx.doi.org/10.1109/tasc.2005.850535.

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16

Kadin, A. M. "Duality and fluxonics in superconducting devices." Journal of Applied Physics 68, no. 11 (1990): 5741–49. http://dx.doi.org/10.1063/1.346969.

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17

ROGALLA, H. "Fluxonics and Superconducting Electronics in Europe." IEICE Transactions on Electronics E91-C, no. 3 (2008): 272–79. http://dx.doi.org/10.1093/ietele/e91-c.3.272.

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18

Shainline, Jeffrey M. "Fluxonic Processing of Photonic Synapse Events." IEEE Journal of Selected Topics in Quantum Electronics 26, no. 1 (2020): 1–15. http://dx.doi.org/10.1109/jstqe.2019.2927473.

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19

Raissi, F. "Modeling of the josephson fluxonic diode." IEEE Transactions on Appiled Superconductivity 13, no. 3 (2003): 3817–20. http://dx.doi.org/10.1109/tasc.2003.817638.

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20

Dobrovolskiy, Oleksandr V., and Andrii V. Chumak. "Nonreciprocal magnon fluxonics upon ferromagnet/superconductor hybrids." Journal of Magnetism and Magnetic Materials 543 (February 2022): 168633. http://dx.doi.org/10.1016/j.jmmm.2021.168633.

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21

Kunert, Juergen, Oliver Brandel, Sven Linzen, et al. "Recent Developments in Superconductor Digital Electronics Technology at FLUXONICS Foundry." IEEE Transactions on Applied Superconductivity 23, no. 5 (2013): 1101707. http://dx.doi.org/10.1109/tasc.2013.2265496.

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22

Raissi, F., and J. E. Nordman. "Comparison of simulation and experiment for a Josephson fluxonic diode." IEEE Transactions on Appiled Superconductivity 5, no. 2 (1995): 2943–46. http://dx.doi.org/10.1109/77.403209.

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23

Dobrovolskiy, Oleksandr V., Michael Huth, and Valerij A. Shklovskij. "Alternating current-driven microwave loss modulation in a fluxonic metamaterial." Applied Physics Letters 107, no. 16 (2015): 162603. http://dx.doi.org/10.1063/1.4934487.

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24

Mehrara, Hamed, and Farshid Raissi. "Selective Capacitive Anodization Process for the Fabrication of Josephson Fluxonic Devices." Journal of Superconductivity and Novel Magnetism 34, no. 4 (2021): 1141–46. http://dx.doi.org/10.1007/s10948-021-05838-6.

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25

Fisher, M. A., E. J. Cukauskas, and L. H. Allen. "Thin film Y-Ba-Cu-O/Ag composites for fluxonic devices." IEEE Transactions on Appiled Superconductivity 7, no. 1 (1997): 1–6. http://dx.doi.org/10.1109/77.585880.

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26

Fernández-Pacheco, Amalio, Luka Skoric, José María De Teresa, Javier Pablo-Navarro, Michael Huth, and Oleksandr V. Dobrovolskiy. "Writing 3D Nanomagnets Using Focused Electron Beams." Materials 13, no. 17 (2020): 3774. http://dx.doi.org/10.3390/ma13173774.

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Focused electron beam induced deposition (FEBID) is a direct-write nanofabrication technique able to pattern three-dimensional magnetic nanostructures at resolutions comparable to the characteristic magnetic length scales. FEBID is thus a powerful tool for 3D nanomagnetism which enables unique fundamental studies involving complex 3D geometries, as well as nano-prototyping and specialized applications compatible with low throughputs. In this focused review, we discuss recent developments of this technique for applications in 3D nanomagnetism, namely the substantial progress on FEBID computatio
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27

Fomin, Vladimir M., and Oleksandr V. Dobrovolskiy. "A Perspective on superconductivity in curved 3D nanoarchitectures." Applied Physics Letters 120, no. 9 (2022): 090501. http://dx.doi.org/10.1063/5.0085095.

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In recent years, superconductivity and vortex matter in curved 3D nanoarchitectures have turned into a vibrant research avenue because of the rich physics of the emerging geometry- and topology-induced phenomena and their prospects for applications in (electro)magnetic field sensing and information technology. While this research domain is still in its infancy, numerous theoretical predictions await their experimental examination. In this Perspective, after a brief introduction to the topical area, we outline experimental techniques capable of fabrication of curved 3D nanostructures and review
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28

Li, zishuo, Tingting Guo, Wenqu Xu та ін. "Niobium-buffered tantalum for a superconducting fluxonium qubit". Materials Research Express, 30 січня 2025. https://doi.org/10.1088/2053-1591/adb091.

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Abstract We use a magnetron sputtering system to grow a tantalum film on a sapphire substrate with a niobium buffer layer at room temperature. The tantalum film is in $\alpha$-phase, which is preferred for superconducting quantum devices. We fabricate a superconducting heavy fluxonium qubit with this niobium-buffered tantalum film, which demonstrates good performance. Forbidden transitions and sideband transition phenomena between specific energy levels are observed. Due to the specific design parameters, the fluxonium described herein exhibits high anharmonicity while maintaining a long decoh
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29

Rosenfeld, Emma L., Connor T. Hann, David I. Schuster, Matthew H. Matheny, and Aashish A. Clerk. "High-Fidelity Two-Qubit Gates between Fluxonium Qubits with a Resonator Coupler." PRX Quantum 5, no. 4 (2024). http://dx.doi.org/10.1103/prxquantum.5.040317.

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We take a bottom-up first-principles approach to designing a two-qubit gate between fluxonium qubits for minimal error, speed, and control simplicity. Our proposed architecture consists of two fluxoniums coupled via a resonator. The use of a simple linear coupler has many practical benefits, including the possibility of material optimization for suppressing loss, reducing fabrication complexity, and increasing yield by circumventing the need for Josephson junctions. Crucially, a resonator-as-coupler approach also suggests a clear path to increased connectivity between fluxonium qubits, by redu
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30

Nie, Ke, Aayam Bista, Kaicheung Chow, Wolfgang Pfaff, and Angela Kou. "Parametrically controlled microwave-photonic interface for the fluxonium." Physical Review Applied 22, no. 5 (2024). http://dx.doi.org/10.1103/physrevapplied.22.054021.

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Converting quantum information from stationary qubits to traveling photons enables both fast qubit initialization and efficient generation of flying qubits for redistribution of quantum information. This conversion can be performed using cavity-sideband transitions. In the fluxonium, however, direct cavity-sideband transitions are forbidden due to parity symmetry. Here we circumvent this parity selection rule by using a three-wave mixing element to couple the fluxonium to a resonator. We experimentally demonstrate a scheme for interfacing the fluxonium with traveling photons through microwave-
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31

Mencia, Raymond A., Wei-Ju Lin, Hyunheung Cho, Maxim G. Vavilov, and Vladimir E. Manucharyan. "Integer Fluxonium Qubit." PRX Quantum 5, no. 4 (2024). http://dx.doi.org/10.1103/prxquantum.5.040318.

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We describe a superconducting qubit derived from operating a properly designed fluxonium circuit in a zero magnetic field. The qubit has a frequency of about 4 GHz and an energy relaxation quality factor Q≈0.7×107, even though the dielectric loss quality factor of the circuit components is in the low-105 range. The Ramsey coherence time exceeds 100μs, and the average fidelity of Clifford gates is benchmarked to F>0.999. These figures are expected to improve with optimized fabrication and measurement procedures. Our work establishes a ready-to-use “partially protected” superconducting qubit
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32

Di Paolo, Agustin, Thomas E. Baker, Alexandre Foley, David Sénéchal, and Alexandre Blais. "Efficient modeling of superconducting quantum circuits with tensor networks." npj Quantum Information 7, no. 1 (2021). http://dx.doi.org/10.1038/s41534-020-00352-4.

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AbstractWe use a tensor network method to compute the low-energy excitations of a large-scale fluxonium qubit up to a desired accuracy. We employ this numerical technique to estimate the pure-dephasing coherence time of the fluxonium qubit due to charge noise and coherent quantum phase slips from first principles, finding an agreement with previously obtained experimental results. By developing an accurate single-mode theory that captures the details of the fluxonium device, we benchmark the results obtained with the tensor network for circuits spanning a Hilbert space as large as 15180. Our a
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33

Lin, Wei-Ju, Hyunheung Cho, Yinqi Chen, Maxim G. Vavilov, Chen Wang, and Vladimir E. Manucharyan. "24 Days-Stable CNOT Gate on Fluxonium Qubits with Over 99.9% Fidelity." PRX Quantum 6, no. 1 (2025). https://doi.org/10.1103/prxquantum.6.010349.

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Fluxonium qubit is a promising elementary building block for quantum information processing due to its long coherence time combined with a strong anharmonicity. In this paper, we realize a 60-ns direct gate on two inductively coupled fluxoniums, which behave almost exactly as a pair of transversely coupled spin-1/2 systems. The -gate fidelity, estimated using randomized benchmarking, was as high as 99.94%. Furthermore, the fidelity remains above 99.9% for 24 days without any recalibration between measurements. Compared with the 99.96% fidelity of a 60-ns identity gate, our data brings the inve
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34

Moskalenko, Ilya N., Ilya A. Simakov, Nikolay N. Abramov, et al. "High fidelity two-qubit gates on fluxoniums using a tunable coupler." npj Quantum Information 8, no. 1 (2022). http://dx.doi.org/10.1038/s41534-022-00644-x.

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AbstractSuperconducting fluxonium qubits provide a promising alternative to transmons on the path toward large-scale superconductor-based quantum computing due to their better coherence and larger anharmonicity. A major challenge for multi-qubit fluxonium devices is the experimental demonstration of a scalable crosstalk-free multi-qubit architecture with high-fidelity single-qubit and two-qubit gates, single-shot readout, and state initialization. Here, we present a two-qubit fluxonium-based quantum processor with a tunable coupler element. We experimentally demonstrate fSim-type and controlle
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35

Cheng, Jia Ming, Yongchang Zhang, Xiang-Fa Zhou, and Zheng-Wei Zhou. "Enhancing quantum coherence of a fluxonium qubit by employing flux modulation with tunable-complex-amplitude." New Journal of Physics, December 19, 2022. http://dx.doi.org/10.1088/1367-2630/acacbd.

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Abstract We propose to protect fluxonium qubits that are away from half flux quantum against environmental noises, especially 1/f flux noise, by adopting a modulated flux with tunable-complex-amplitude. Using open-system Floquet theory, we derive a Lindblad equation and extract decoherent rates for pure-dephasing, excitation and relaxation. After examining intrinsic attributes of the flux driven fluxonium qubit, we put forward an analytic manner to locate dynamical sweet spots for fast and weak driving. Dynamical sweet curves are found in the parameter plane of relative amplitude factor and re
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36

Nguyen, Long B., Yen-Hsiang Lin, Aaron Somoroff, Raymond Mencia, Nicholas Grabon, and Vladimir E. Manucharyan. "High-Coherence Fluxonium Qubit." Physical Review X 9, no. 4 (2019). http://dx.doi.org/10.1103/physrevx.9.041041.

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37

Hazard, T. M., A. Gyenis, A. Di Paolo, et al. "Nanowire Superinductance Fluxonium Qubit." Physical Review Letters 122, no. 1 (2019). http://dx.doi.org/10.1103/physrevlett.122.010504.

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38

Stephens, Marric. "Fluxonium Qubits Under Control." Physics 17 (May 2, 2024). http://dx.doi.org/10.1103/physics.17.s55.

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39

Stefanski, Taryn V., and Christian Kraglund Andersen. "Flux-pulse-assisted readout of a fluxonium qubit." Physical Review Applied 22, no. 1 (2024). http://dx.doi.org/10.1103/physrevapplied.22.014079.

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Much attention has focused on the transmon architecture for large-scale superconducting quantum devices; however, the fluxonium qubit has emerged as a possible successor. With a shunting inductor in parallel to a Josephson junction, the fluxonium offers larger anharmonicity and stronger protection against dielectric loss, leading to higher coherence times as compared to conventional transmon qubits. The interplay between the inductive and Josephson energy potentials of the fluxonium qubit leads to a rich dispersive-shift landscape when tuning the external flux. Here, we propose to exploit the
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40

Wang, Fei, Kannan Lu, Huijuan Zhan, et al. "High-coherence fluxonium qubits manufactured with a wafer-scale-uniformity process." Physical Review Applied 23, no. 4 (2025). https://doi.org/10.1103/physrevapplied.23.044064.

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Fluxonium qubits are recognized for their high coherence times and high operation fidelities. These are attributed to their unique design incorporating a superinductor, which is typically implemented using an array of over 100 Josephson junctions; however, this complexity poses significant fabrication challenges, particularly in achieving high yield and junction uniformity with traditional methods. Here, we introduce an overlap process for Josephson-junction fabrication that achieves nearly 100% yield and maintains uniformity across a 2-inch (50.8-mm) wafer with less than 5% variation for the
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41

Bothara, Gaurav, Srijita Das, Kishor V. Salunkhe, et al. "High-fidelity QND readout and measurement back-action in a tantalum-based high-coherence fluxonium qubit." APL Quantum 2, no. 2 (2025). https://doi.org/10.1063/5.0255892.

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Implementing a precise measurement of the quantum state of a qubit is critical for building a practical quantum processor, as it plays an important role in state initialization and quantum error correction. While the transmon qubit has been the most commonly used design in small- to medium-scale processors, the fluxonium qubit is emerging as a strong alternative with the potential for high-fidelity gate operation as a result of the high anharmonicity and high coherence achievable due to its unique design. Here, we explore the measurement characteristics of a tantalum-based high-coherence fluxo
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42

Pita-Vidal, Marta, Arno Bargerbos, Chung-Kai Yang, et al. "Gate-Tunable Field-Compatible Fluxonium." Physical Review Applied 14, no. 6 (2020). http://dx.doi.org/10.1103/physrevapplied.14.064038.

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43

Rieger, D., S. Günzler, M. Spiecker, et al. "Granular aluminium nanojunction fluxonium qubit." Nature Materials, December 8, 2022. http://dx.doi.org/10.1038/s41563-022-01417-9.

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44

Dogan, Ebru, Dario Rosenstock, Loïck Le Guevel, et al. "Two-Fluxonium Cross-Resonance Gate." Physical Review Applied 20, no. 2 (2023). http://dx.doi.org/10.1103/physrevapplied.20.024011.

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45

Strickland, William M., Bassel Heiba Elfeky, Lukas Baker, et al. "Gatemonium: A Voltage-Tunable Fluxonium." PRX Quantum 6, no. 1 (2025). https://doi.org/10.1103/prxquantum.6.010326.

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We present a new style of fluxonium qubit, gatemonium, based on an all-superconductor-semiconductor hybrid platform. The linear inductance is achieved using 600 planar Al-InAs Josephson junctions (JJs) in series. By tuning the single junction with a gate voltage, we demonstrate electrostatic control of the effective Josephson energy, tuning the weight of the fictitious phase particle. One- and two-tone spectroscopy of the gatemonium transitions further reveal details of the hybrid plasmon-fluxon spectrum. Accounting for the nonsinusoidal current-phase relation of the single junction, we fit th
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46

Ardati, Waël, Sébastien Léger, Shelender Kumar, et al. "Using Bifluxon Tunneling to Protect the Fluxonium Qubit." Physical Review X 14, no. 4 (2024). http://dx.doi.org/10.1103/physrevx.14.041014.

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Encoding quantum information in quantum states with disjoint wave-function support and noise-insensitive energies is the key behind the idea of qubit protection. While fully protected qubits are expected to offer exponential protection against both energy relaxation and pure dephasing, simpler circuits may grant partial protection with currently achievable parameters. Here, we study a fluxonium circuit in which the wave functions are engineered to minimize their overlap while benefiting from a first-order-insensitive flux sweet spot. Taking advantage of a large superinductance (L∼1 μH), our ci
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47

Mizel, Ari, and Yariv Yanay. "Right-sizing fluxonium against charge noise." Physical Review B 102, no. 1 (2020). http://dx.doi.org/10.1103/physrevb.102.014512.

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48

Catelani, Gianluigi. "Fluxonium Steps up to the Plate." Physics 12 (November 25, 2019). http://dx.doi.org/10.1103/physics.12.131.

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49

Sorokanich, Stephen, Max Hays, and Neill C. Warrington. "Exact and approximate fluxonium array modes." Physical Review B 110, no. 12 (2024). http://dx.doi.org/10.1103/physrevb.110.125404.

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50

Viola, Giovanni, and Gianluigi Catelani. "Collective modes in the fluxonium qubit." Physical Review B 92, no. 22 (2015). http://dx.doi.org/10.1103/physrevb.92.224511.

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