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We propose a superconducting qubit circuit that can fully emulate a quantum vector spin-1/2, with an effective dipole moment having three independent components whose operators obey the commutation relations of a vector angular momentum in the computational subspace.
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In this sense the JPSQ, although it is intended to function as a persistent-current flux qubit, has something in common with the well-known charge Nakamura et al. 1999 ; Blais et al. 2004 (or transmon Koch et al. 2007 ; *DiCarlotransmon
2007
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2008
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J. Bylander, S. Gustavsson, F. Yan, F. Yoshihara, K. Harrabi, G. Fitch, D. G. Cory, Y. Nakamura, J.-S. Tsai, and W. D. Oliver, Noise spectroscopy through dynamical decoupling with a superconducting flux qubit , Nature Physics 7
2011
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J. T. Seeley, M. J. Richard, and P. J. Love, The Bravyi-Kitaev transformation for quantum computation of electronic structure , The Journal of Chemical Physics 137
2012
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T. T. Hongisto and A. B. Zorin, Single-charge transistor based on the charge-phase duality of a superconducting nanowire circuit , Phys. Rev. Lett. 108
2012
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V. E. Manucharyan, N. A. Masluk, A. Kamal, J. Koch, L. I. Glazman, and M. H. Devoret, Evidence for coherent quantum phase slips across a Josephson junction array , Phys. Rev. B 85
2012
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2012
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2013
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2013
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D. Ristè, C. C. Bultink, M. J. Tiggelman, R. N. Schouten, K. W. Lehnert, and L. DiCarlo, Millisecond charge-parity fluctuations and induced decoherence in a superconducting transmon qubit , Nature Communications 4
2013
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Later among the works it cites.
F. D. M. Haldane, Nobel lecture: Topological quantum matter , Rev. Mod. Phys. 89
2017
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Z. Jiang and E. G. Rieffel, Non-commuting two-local Hamiltonians for quantum error suppression , Quantum Information Processing 16
2017
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M. Marvian and D. A. Lidar, Error suppression for Hamiltonian quantum computing in Markovian environments , Phys. Rev. A 95
2017
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B. Peropadre, A. Aspuru-Guzik, and J. J. García-Ripoll, Equivalence between spin Hamiltonians and boson sampling , Phys. Rev. A 95
2017
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A. Ghirri, A. Candini, and M. Affronte, Molecular spins in the context of quantum technologies , Magnetochemistry 3
2017
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L. Hormozi, E. W. Brown, G. Carleo, and M. Troyer, Nonstoquastic hamiltonians and quantum annealing of an ising spin glass , Phys. Rev. B 95
2017
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2017
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W. Vinci and D. A. Lidar, Non-stoquastic hamiltonians in quantum annealing via geometric phases , NPJ Quantum Information 3
2017
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2017
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C. M. Quintana, Y. Chen, D. Sank, A. G. Petukhov, T. C. White, D. Kafri, B. Chiaro, A. Megrant, R. Barends, B. Campbell, Z. Chen, A. Dunsworth, A. G. Fowler, R. Graff, E. Jeffrey, J. Kelly, E. Lucero, J. Y. Mutus, M. Neeley, C. Neill, P. J. J. O’Malley, P. Roushan, A. Shabani, V. N. Smelyanskiy, A. Vainsencher, J. Wenner, H. Neven, and J. M. Martinis, Observation of classical-quantum crossover of 1 / f 1/f flux noise and its paramagnetic temperature dependence , Phys. Rev. Lett. 118
2017
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G. Wendin, Quantum information processing with superconducting circuits: a review , Reports on Progress in Physics 80
2017
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X. Gu, A. F. Kockum, A. Miranowicz, Y. xi Liu, and F. Nori, Microwave photonics with superconducting quantum circuits , Physics Reports 718-719
2017
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Note that we focus here on the flux qubit variant which uses Josephson junctions for its loop inductance Orlando et al. 1999 , instead of the RF-SQUIDs used in quantum annealing applications to date Harris et al. 2010 ; Harris et al. 2009 ; Quintana et al. 2017 ; however, the physics is qualitatively the same, and the conclusions presented here apply equally to either type
2017
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S. J. Weber, G. O. Samach, D. Hover, S. Gustavsson, D. K. Kim, A. Melville, D. Rosenberg, A. P. Sears, F. Yan, J. L. Yoder, W. D. Oliver, and A. J. Kerman, Coherent coupled qubits for quantum annealing , Phys. Rev. Applied 8
2017
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As described in refs. Yan et al. 2016 ; Weber et al. 2017 ; Kerman , this simulation fully includes all of the electromagnetic modes of a given lumped circuit, and introduces perturbative approximation only in capturing the low-energy effects of high-energy, virtual excitations of these modes
2017
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N. K. Langford, R. Sagastizabal, M. Kounalakis, C. Dickel, A. Bruno, F. Luthi, D. J. Thoen, A. Endo, and L. DiCarlo, Experimentally simulating the dynamics of quantum light and matter at deep-strong coupling , Nature Communications 8
2017
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N. Chancellor, S. Zohren, and P. A. Warburton, Circuit design for multi-body interactions in superconducting quantum annealing systems with applications to a scalable architecture , npj Quantum Information 3
2017
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R. Harris, Y. Sato, A. J. Berkley, M. Reis, F. Altomare, M. H. Amin, K. Boothby, P. Bunyk, C. Deng, C. Enderud, S. Huang, E. Hoskinson, M. W. Johnson, E. Ladizinsky, N. Ladizinsky, T. Lanting, R. Li, T. Medina, R. Molavi, R. Neufeld, T. Oh, I. Pavlov, I. Perminov, G. Poulin-Lamarre, C. Rich, A. Smirnov, L. Swenson, N. Tsai, M. Volkmann, J. Whittaker, and J. Yao, Phase transitions in a programmable quantum spin glass simulator , Science 361
2018
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A. D. King, J. Carrasquilla, J. Raymond, I. Ozfidan, E. Andriyash, A. Berkley, M. Reis, T. Lanting, R. Harris, F. Altomare, K. Boothby, P. I. Bunyk, C. Enderud, A. Fréchette, E. Hoskinson, N. Ladizinsky, T. Oh, G. Poulin-Lamarre, C. Rich, Y. Sato, A. Y. Smirnov, L. J. Swenson, M. H. Volkmann, J. Whittaker, J. Yao, E. Ladizinsky, M. W. Johnson, J. Hilton, and M. H. Amin, Observation of topological phenomena in a programmable lattice of 1800 qubits , Nature 2
2018
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T. Albash and D. A. Lidar, Adiabatic quantum computation , Rev. Mod. Phys. 90
2018
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2018
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G. Samach, S. Weber, D. Hover, D. Rosenberg, D. Kim, W. Oliver, and A. Kerman, Tunable xx-coupling between high coherence flux qubits , Bulletin of the American Physical Society (2018), abstract L33.00013
2018
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S. E. de Graaf, S. T. Skacel, T. Hönigl-Decrinis, R. Shaikhaidarov, H. Rotzinger, S. Linzen, M. Ziegler, U. Hübner, H.-G. Meyer, V. Antonov, E. Il’ichev, A. V. Ustinov, A. Y. Tzalenchuk, and O. V. Astafiev, Charge quantum interference device , Nature Physics 14
2018
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A. J. Kerman, Superconducting circuit for realizing strong, four-qubit magnetic interactions without perturbative gadgets (2018), to be published
2018
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M. Schöndorf and F. Wilhelm, Four local interactions in a circuit QED architecture without ancilla qubits (2018), to be published
2018
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2019
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