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Gottesman-Kitaev-Preskill (GKP) states appear to be amongst the leading candidates for correcting errors when encoding qubits into oscillators.
D. Gottesman, A. Kitaev, and J. Preskill, “Encoding a qubit in an oscillator,” Phys. Rev. A
2001
Earlier work this paper cites.
B. C. Travaglione and G. J. Milburn, “Preparing encoded states in an oscillator,” Phys. Rev. A
2002
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2005
Earlier work this paper cites.
S. Glancy and E. Knill, “Error analysis for encoding a qubit in an oscillator,” Phys. Rev. A
2006
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P. Aliferis, D. Gottesman, and J. Preskill, “Quantum accuracy threshold for concatenated distance-3 codes,” Quantum Info. Comput
2006
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P. Aliferis and A. W. Cross, “Subsystem fault tolerance with the bacon-shor code,” Phys. Rev. Lett
2007
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J. Gambetta, A. Blais, M. Boissonneault, A. A. Houck, D. I. Schuster, and S. M. Girvin, “Quantum trajectory approach to circuit qed: Quantum jumps and the zeno effect,” Phys. Rev. A
2008
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A. W. Cross, D. P. Divincenzo, and B. M. Terhal, “A comparative code study for quantum fault tolerance,” Quantum Info. Comput
2009
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M. Boissonneault, J. M. Gambetta, and A. Blais, “Dispersive regime of circuit qed: Photon-dependent qubit dephasing and relaxation rates,” Phys. Rev. A
2009
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J. Johansson, P. Nation, and F. Nori, “Qutip 2: A python framework for the dynamics of open quantum systems,” Computer Physics Communications
2013
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M. Reagor, H. Paik, G. Catelani, L. Sun, C. Axline, E. Holland, I. M. Pop, N. A. Masluk, T. Brecht, L. Frunzio, M. H. Devoret, L. Glazman, and R. J. Schoelkopf, “Reaching 10 ms single photon lifetimes for superconducting aluminum cavities,” Applied Physics Letters
2013
Earlier work this paper cites.
B. M. Terhal and D. Weigand, “Encoding a qubit into a cavity mode in circuit qed using phase estimation,” Phys. Rev. A
2016
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J. Alonso, F. M. Leupold, Z. U. Soler, M. Fadel, M. Marinelli, B. C. Keitch, V. Negnevitsky, and J. P. Home, “Generation of large coherent states by bang-bang control of a trapped-ion oscillator,” Nature communications
2016
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C. Chamberland, T. Jochym-O’Connor, and R. Laflamme, “Thresholds for universal concatenated quantum codes,” Phys. Rev. Lett
2016
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N. Ofek, A. Petrenko, R. Heeres, P. Reinhold, Z. Leghtas, B. Vlastakis, Y. Liu, L. Frunzio, S. M. Girvin, L. Jiang, M. Mirrahimi, M. H. Devoret, and R. J. Schoelkopf, “Demonstrating quantum error correction that extends the lifetime of quantum information,” arXiv:quant-ph/1602.04768
2016
Cited alongside, same era.
Z. K. Minev, K. Serniak, I. M. Pop, Z. Leghtas, K. Sliwa, M. Hatridge, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, “Planar multilayer circuit quantum electrodynamics,” Phys. Rev. Applied
2016
Cited alongside, same era.
T. Brecht, W. Pfaff, C. Wang, Y. Chu, L. Frunzio, M. H. Devoret, and R. J. Schoelkopf, “Multilayer microwave integrated quantum circuits for scalable quantum computing,” npj Quantum Information
2016
Cited alongside, same era.
C. Chamberland, T. Jochym-O’Connor, and R. Laflamme, “Overhead analysis of universal concatenated quantum codes,” Phys. Rev. A
2017
Cited alongside, same era.
C. Chamberland and M. E. Beverland, “Flag fault-tolerant error correction with arbitrary distance codes,” Quantum
2018
Later among the works it cites.
2018
Later among the works it cites.
B. W. Reichardt, “Fault-tolerant quantum error correction for steane’s seven-qubit color code with few or no extra qubits,” arXiv:quant-ph/1804.06995
2018
Later among the works it cites.
C. Chamberland and A. Cross, “Fault-tolerant magic state preparation with flag qubits,” arXiv:quant-ph/1811.00566
2018
Later among the works it cites.
K. S. Chou, J. Z. Blumoff, C. S. Wang, P. C. Reinhold, C. J. Axline, Y. Y. Gao, L. Frunzio, M. H. Devoret, L. Jiang, and R. J. Schoelkopf, “Deterministic teleportation of a quantum gate between two logical qubits,” Nature
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K. Duivenvoorden, B. M. Terhal, and D. Weigand, “Single-mode displacement sensor,” Phys. Rev. A
2017
Cited alongside, same era.
V. V. Albert, K. Noh, K. Duivenvoorden, D. J. Young, R. T. Brierley, P. Reinhold, C. Vuillot, L. Li, C. Shen, S. M. Girvin, B. M. Terhal, and L. Jiang, “Performance and structure of single-mode bosonic codes,” Phys. Rev. A
2018
Cited alongside, same era.
K. Fukui, A. Tomita, A. Okamoto, and K. Fujii, “High-threshold fault-tolerant quantum computation with analog quantum error correction,” Phys. Rev. X
2018
Cited alongside, same era.
2018
Cited alongside, same era.
2018
Cited alongside, same era.
C. Chamberland and P. Ronagh, “Deep neural decoders for near term fault-tolerant experiments,” Quantum Science and Technology
2018
Cited alongside, same era.
S. Rosenblum, P. Reinhold, M. Mirrahimi, L. Jiang, L. Frunzio, and R. J. Schoelkopf, “Fault-tolerant detection of a quantum error,” Science
2018
Cited alongside, same era.
R. Chao and B. W. Reichardt, “Quantum error correction with only two extra qubits,” Phys. Rev. Lett
2018
Cited alongside, same era.
2018
Later among the works it cites.
K. Noh, V. V. Albert, and L. Jiang, “Quantum capacity bounds of gaussian thermal loss channels and achievable rates with gottesman-kitaev-preskill codes,” IEEE Transactions on Information Theory
2019
Closest in time.
C. Vuillot, H. Asasi, Y. Wang, L. P. Pryadko, and B. M. Terhal, “Quantum error correction with the toric gottesman-kitaev-preskill code,” Phys. Rev. A
2019
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2019
Closest in time.
2019
Closest in time.
C. Fluhmann, T. L. Nguyen, M. Marinelli, V. Negnevitsky, K. Mehta, and J. P. Home, “Encoding a qubit in a trapped-ion mechanical oscillator,” Nature
2019
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M. Eaton, R. Nehra, and O. Pfister, “Gottesman-kitaev-preskill state preparation by photon catalysis,” arXiv:quant-ph/1903.01925
2019
Closest in time.
T. Douce, D. Markham, E. Kashefi, P. van Loock, and G. Ferrini, “Probabilistic fault-tolerant universal quantum computation and sampling problems in continuous variables,” Phys. Rev. A
2019
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Y. Y. Gao, B. J. Lester, K. S. Chou, L. Frunzio, M. H. Devoret, L. Jiang, S. M. Girvin, and R. J. Schoelkopf, “Entanglement of bosonic modes through an engineered exchange interaction,” Nature
2019
Closest in time.