Fetching the paper…
Reading the bibliography…
We construct a new class of quantum error-correcting codes for a bosonic mode which are advantageous for applications in quantum memories, communication, and scalable computation.
M. Ueda, Probability-density-functional description of quantum photodetection processes, Quantum Opt. 1
1989
Earlier work this paper cites.
C. T. Lee, Superoperators and their implications in the hybrid model for photodetection, Phys. Rev. A 49
1994
Earlier work this paper cites.
A. Auerbach, Interacting Electrons and Quantum Magnetism , edited by J. L. Birman, J. W. Lynn, M. P. Silverman, H. E. Stanley, and M. Voloshin, Graduate Texts in Contemporary Physics (Springer, New York, 1994) pp. 69–70
1994
Earlier work this paper cites.
P. W. Shor, Scheme for reducing decoherence in quantum computer memory, Phys. Rev. A 52
1995
Earlier work this paper cites.
R. Laflamme, C. Miquel, J. P. Paz, and W. H. Zurek, Perfect Quantum Error Correcting Code, Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Mixed-state entanglement and quantum error correction, Phys. Rev. A 54
1996
Earlier work this paper cites.
A. M. Steane, Error Correcting Codes in Quantum Theory, Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
H. Mabuchi and P. Zoller, Inversion of Quantum Jumps in Quantum Optical Systems under Continuous Observation, Phys. Rev. Lett. 76
1996
Earlier work this paper cites.
J. I. Cirac, T. Pellizzari, and P. Zoller, Enforcing Coherent Evolution in Dissipative Quantum Dynamics, Science 273
1996
Earlier work this paper cites.
I. L. Chuang, D. W. Leung, and Y. Yamamoto, Bosonic quantum codes for amplitude damping, Phys. Rev. A 56
1997
Earlier work this paper cites.
P. Zanardi and M. Rasetti, Noiseless quantum codes, Phys. Rev. Lett. 79
1997
Earlier work this paper cites.
E. Knill and R. Laflamme, Theory of quantum error-correcting codes, Phys. Rev. A 55
1997
Earlier work this paper cites.
D. W. Leung, M. A. Nielsen, I. L. Chuang, and Y. Yamamoto, Approximate quantum error correction can lead to better codes, Phys. Rev. A 56
1997
Earlier work this paper cites.
M. B. Plenio, V. Vedral, and P. L. Knight, Quantum error correction in the presence of spontaneous emission, Phys. Rev. A 55
1997
Earlier work this paper cites.
S. J. van Enk, J. I. Cirac, and P. Zoller, Ideal Quantum Communication over Noisy Channels: A Quantum Optical Implementation, Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
D. Aharonov and M. Ben-Or, Fault-tolerant quantum computation with constant error, in Proceedings of the Twenty-Ninth Annual ACM Symposium on Theory of Computing (ACM, New York, 1997) pp. 176–188, arXiv:quant-ph/9906129
1997
Earlier work this paper cites.
S. L. Braunstein, Error Correction for Continuous Quantum Variables, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
S. Lloyd and J.-J. E. Slotine, Analog Quantum Error Correction, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, Experimental Quantum Error Correction, Phys. Rev. Lett. 81
1998
Earlier work this paper cites.
D. A. Lidar, I. L. Chuang, and K. B. Whaley, Decoherence-free subspaces for quantum computation, Phys. Rev. Lett. 81
1998
Earlier work this paper cites.
P. T. Cochrane, G. J. Milburn, and W. J. Munro, Macroscopically distinct quantum-superposition states as a bosonic code for amplitude damping, Phys. Rev. A 59
1999
Earlier work this paper cites.
S. Lloyd and S. L. Braunstein, Quantum Computation over Continuous Variables, Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
D. Gottesman, A. Yu. Kitaev, and J. Preskill, Encoding a qubit in an oscillator, Phys. Rev. A 64
2001
Earlier work this paper cites.
P. Bertet, A. Auffeves, P. Maioli, S. Osnaghi, T. Meunier, M. Brune, J. M. Raimond, and S. Haroche, Direct Measurement of the Wigner Function of a One-Photon Fock State in a Cavity, Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002)
2002
Earlier work this paper cites.
B. C. Travaglione and G. J. Milburn, Preparing encoded states in an oscillator, Phys. Rev. A 66
2002
Earlier work this paper cites.
S. Glancy, H. M. Vasconcelos, and T. C. Ralph, Transmission of optical coherent-state qubits, Phys. Rev. A 70
2004
Earlier work this paper cites.
J. Chiaverini, D. Leibfried, T. Schaetz, M. D. Barrett, R. B. Blakestad, J. Britton, W. M. Itano, J. D. Jost, E. Knill, C. Langer, R. Ozeri, and D. J. Wineland, Realization of quantum error correction, Nature 432
2004
Earlier work this paper cites.
S. Pirandola, S. Mancini, D. Vitali, and P. Tombesi, Constructing finite-dimensional codes with optical continuous variables, Europhys. Lett. 68
2004
Earlier work this paper cites.
S. Braunstein and P. van Loock, Quantum information with continuous variables, Rev. Mod. Phys. 77
2005
Earlier work this paper cites.
N. Khaneja, T. Reiss, C. Kehlet, T. Schulte-Herbrüggen, and S. J. Glaser, Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms, J. Mag. Res. 172
2005
Earlier work this paper cites.
N. Boulant, L. Viola, E. M. Fortunato, and D. G. Cory, Experimental implementation of a concatenated quantum error-correcting code, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
C. Crépeau, D. Gottesman, and A. Smith, Approximate quantum error-correcting codes and secret sharing, in Advances in Cryptology–EUROCRYPT 2005, 24th Annual Conference on the Theory and Applications of Cryptographic Techniques, Aarhus, Denmark, May 22-26, 2005 , edited by R. Cramer (Springer, Berlin, 2005) pp. 285–301, arXiv:quant-ph/0503139
2005
Earlier work this paper cites.
S. Glancy and E. Knill, Error analysis for encoding a qubit in an oscillator, Phys. Rev. A 73
2006
Earlier work this paper cites.
J. Gambetta, A. Blais, D. I. Schuster, A. Wallraff, L. Frunzio, J. Majer, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Qubit-photon interactions in a cavity: Measurement-induced dephasing and number splitting, Phys. Rev. A 74
2006
Earlier work this paper cites.
W. Wasilewski and K. Banaszek, Protecting an optical qubit against photon loss, Phys. Rev.A 75
2007
Earlier work this paper cites.
A. A. Houck, D. I. Schuster, J. M. Gambetta, J. A. Schreier, B. R. Johnson, J. M. Chow, L. Frunzio, J. Majer, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Generating single microwave photons in a circuit, Nature 449
2007
Earlier work this paper cites.
J. Gao, J. Zmuidzinas, B. A. Mazin, H. G. LeDuc, and P. K. Day, Noise properties of superconducting coplanar waveguide microwave resonators, App. Phys. Lett. 90
2007
Earlier work this paper cites.
C. Caiado and P. Rathie, Polynomial coefficients and distribution of the sum of discrete uniform variables, in Eighth Annual Conference of the Society of Special Functions and their Applications , edited by A. M. Mathai, M. A. Pathan, K. K. Jose, and J. Jacob (Society for Special Functions & their Applications, 2007)
2007
Earlier work this paper cites.
A. S. Fletcher, P. W. Shor, and M. Z. Win, Optimum quantum error recovery using semidefinite programming, Phys. Rev. A 75
2007
Cited alongside, same era.
D. I. Schuster, A. A. Houck, J. A. Schreier, A. Wallraff, J. M. Gambetta, A. Blais, L. Frunzio, J. Majer, B. Johnson, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Resolving photon number states in a superconducting circuit, Nature 445
2007
Cited alongside, same era.
K. Jacobs, Engineering Quantum States of a Nanoresonator via a Simple Auxiliary System, Phys. Rev. Lett. 99
2007
Cited alongside, same era.
J. Niset, U. L. Andersen, and N. J. Cerf, Experimentally Feasible Quantum Erasure-Correcting Code for Continuous Variables, Phys. Rev. Lett. 101
2008
Cited alongside, same era.
R. J. Schoelkopf and S. M. Girvin, Wiring up quantum systems, Nature 451
2008
Cited alongside, same era.
M. Mirrahimi, Z. Leghtas, V. V. Albert, S. Touzard, R. J. Schoelkopf, L. Jiang, and M. H. Devoret, Dynamically protected cat-qubits: a new paradigm for universal quantum computation, New J. Phys. 16
2014
Later among the works it cites.
J. Wenner, Y. Yin, Y. Chen, R. Barends, B. Chiaro, E. Jeffrey, J. Kelly, A. Megrant, J. Y. Mutus, C. Neill, P. J. J. O’Malley, P. Roushan, D. Sank, A. Vainsencher, T. C. White, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, Catching Time-Reversed Microwave Coherent State Photons with 99.4% Absorption Efficiency, Phys. Rev. Lett. 112
2014
Later among the works it cites.
S. J. Srinivasan, N. M. Sundaresan, D. Sadri, Y. Liu, J. M. Gambetta, T. Yu, S. M. Girvin, and A. A. Houck, Time-reversal symmetrization of spontaneous emission for quantum state transfer, Phys. Rev. A 89
2014
Later among the works it cites.
R. W. Andrews, R. W. Peterson, T. P. Purdy, K. Cicak, R. W. Simmonds, C. A. Regal, and K. W. Lehnert, Bidirectional and efficient conversion between microwave and optical light, Nature Phys. 10
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
T. Aoki, G. Takahashi, T. Kajiya, J.-i. Yoshikawa, S. L. Braunstein, P. van Loock, and A. Furusawa, Quantum error correction beyond qubits, Nature Phys. 5
2009
Cited alongside, same era.
M. Hofheinz, H. Wang, M. Ansmann, R. C. Bialczak, E. Lucero, M. Neeley, A. D. O’Connell, D. Sank, J. Wenner, J. M. Martinis, and A. N. Cleland, Synthesizing arbitrary quantum states in a superconducting resonator, Nature 459
2009
Cited alongside, same era.
J. P. Home, D. Hanneke, J. D. Jost, J. M. Amini, D. Leibfried, and D. J. Wineland, Complete methods set for scalable ion trap quantum information processing, Science 325
2009
Cited alongside, same era.
L. Jiang, J. M. Taylor, K. Nemoto, W. J. Munro, R. Van Meter, and M. D. Lukin, Quantum repeater with encoding, Phys. Rev. A 79
2009
Cited alongside, same era.
M. Lassen, M. Sabuncu, A. Huck, J. Niset, G. Leuchs, N. J. Cerf, and U. L. Andersen, Quantum optical coherence can survive photon losses using a continuous-variable quantum erasure-correcting code, Nature Photon. 4
2010
Cited alongside, same era.
2010
Cited alongside, same era.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, New York, 2010)
2010
Cited alongside, same era.
2014
Later among the works it cites.
L. Sun, A. Petrenko, Z. Leghtas, B. Vlastakis, G. Kirchmair, K. M. Sliwa, A. Narla, M. Hatridge, S. Shankar, J. Blumoff, L. Frunzio, M. Mirrahimi, M. H. Devoret, and R. J. Schoelkopf, Tracking photon jumps with repeated quantum non-demolition parity measurements, Nature 511
2014
Later among the works it cites.
D. Nigg, M. Müller, E. A. Martinez, P. Schindler, M. Hennrich, T. Monz, M. A. Martin-Delgado, and R. Blatt, Quantum computations on a topologically encoded qubit, Science 345
2014
Later among the works it cites.
G. Waldherr, Y. Wang, S. Zaiser, M. Jamali, T. Schulte-Herbrüggen, H. Abe, T. Ohshima, J. Isoya, J. F. Du, P. Neumann, and J. Wrachtrup, Quantum error correction in a solid-state hybrid spin register, Nature 506
2014
Later among the works it cites.
T. H. Taminiau, J. Cramer, T. v. d. Sar, V. V. Dobrovitski, and R. Hanson, Universal control and error correction in multi-qubit spin registers in diamond, Nature Nanotech. 9
2014
Later among the works it cites.
T. Neuschel, A Note on Extended Binomial Coefficients, arXiv:1407.7429 (2014)
2014
Later among the works it cites.
S. Eger, Stirling’s approximation for central extended binomial coefficients, Am. Math. Monthly 121
2014
Later among the works it cites.
Y. Ouyang, Permutation-invariant quantum codes, Phys. Rev. A 90
2014
Later among the works it cites.
S. Muralidharan, J. Kim, N. Lütkenhaus, M. D. Lukin, and L. Jiang, Ultrafast and Fault-Tolerant Quantum Communication across Long Distances, Phys. Rev. Lett. 112
2014
Later among the works it cites.
M. Pechal, L. Huthmacher, C. Eichler, S. Zeytinoǧlu, A. A. Abdumalikov, S. Berger, A. Wallraff, and S. Filipp, Microwave-Controlled Generation of Shaped Single Photons in Circuit Quantum Electrodynamics, Phys. Rev. X 4
2014
Later among the works it cites.
M. Pierre, I.-M. Svensson, S. R. Sathyamoorthy, G. Johansson, and P. Delsing, Storage and on-demand release of microwaves using superconducting resonators with tunable coupling, App. Phys. Lett. 104
2014
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
B. Vlastakis, A. Petrenko, N. Ofek, L. Sun, Z. Leghtas, K. Sliwa, Y. Liu, M. Hatridge, J. Blumoff, L. Frunzio, M. Mirrahimi, L. Jiang, M. H. Devoret, and R. J. Schoelkopf, Characterizing entanglement of an artificial atom and a cavity cat state with Bell’s inequality, Nat. Commun. 6
2015
Later among the works it cites.
S. Krastanov, V. V. Albert, C. Shen, C.-L. Zou, R. W. Heeres, B. Vlastakis, R. J. Schoelkopf, and L. Jiang, Universal control of an oscillator with dispersive coupling to a qubit, Phys. Rev. A 92
2015
Later among the works it cites.
R. W. Heeres, B. Vlastakis, E. Holland, S. Krastanov, V. V. Albert, L. Frunzio, L. Jiang, and R. J. Schoelkopf, Cavity State Manipulation Using Photon-Number Selective Phase Gates, Phys. Rev. Lett. 115
2015
Later among the works it cites.
J. Kelly, R. Barends, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, I.-C. Hoi, C. Neill, P. J. J. O’Malley, C. Quintana, P. Roushan, A. Vainsencher, J. Wenner, A. N. Cleland, and J. M. Martinis, State preservation by repetitive error detection in a superconducting quantum circuit, Nature 519
2015
Later among the works it cites.
A. D. Córcoles, E. Magesan, S. J. Srinivasan, A. W. Cross, M. Steffen, J. M. Gambetta, and J. M. Chow, Demonstration of a quantum error detection code using a square lattice of four superconducting qubits, Nat. Commun. 6
2015
Later among the works it cites.
D. Risté, S. Poletto, M.-Z. Huang, A. Bruno, V. Vesterinen, O.-P. Saira, and L. DiCarlo, Detecting bit-flip errors in a logical qubit using stabilizer measurements, Nat. Commun. 6
2015
Later among the works it cites.
B. M. Terhal, Quantum error correction for quantum memories, Rev. Mod. Phys. 87
2015
Later among the works it cites.
H. Zheng, M. Silveri, R. T. Brierley, K. W. Lehnert, and S. M. Girvin, to be published (2015)
2015
Later among the works it cites.
Z. Leghtas, S. Touzard, I. M. Pop, A. Kou, B. Vlastakis, A. Petrenko, K. M. Sliwa, A. Narla, S. Shankar, M. J. Hatridge, M. Reagor, L. Frunzio, R. J. Schoelkopf, M. Mirrahimi, and M. H. Devoret, Confining the state of light to a quantum manifold by engineered two-photon loss, Science 347
2015
Later among the works it cites.
S. Pirandola, J. Eisert, C. Weedbrook, A. Furusawa, and S. L. Braunstein, Advances in quantum teleportation, Nature Photon. 9
2015
Later among the works it cites.
E. Flurin, N. Roch, J. D. Pillet, F. Mallet, and B. Huard, Superconducting Quantum Node for Entanglement and Storage of Microwave Radiation, Phys. Rev. Lett. 114
2015
Later among the works it cites.
R. W. Andrews, A. P. Reed, K. Cicak, J. D. Teufel, and K. W. Lehnert, Quantum-enabled temporal and spectral mode conversion of microwave signals, Nat. Commun. 6
2015
Later among the works it cites.
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 Quant. Inf. 2
2016
Closest in time.
V. V. Albert, C. Shu, S. Krastanov, C. Shen, R.-B. Liu, Z.-B. Yang, R. J. Schoelkopf, M. Mirrahimi, M. H. Devoret, and L. Jiang, Holonomic quantum control with continous variable systems, Phys. Rev. Lett 116
2016
Closest in time.
B. M. Terhal and D. Weigand, Encoding a qubit into a cavity mode in circuit QED using phase estimation, Phys. Rev. A 93
2016
Closest in time.
C. Wang, Y. Y. Gao, P. Reinhold, R. W. Heeres, N. Ofek, K. Chou, C. Axline, M. Reagor, J. Blumoff, K. M. Sliwa, L. Frunzio, S. M. Girvin, L. Jiang, M. Mirrahimi, M. H. Devoret, and R. J. Schoelkopf, A Schrödinger cat living in two boxes, Science 352
2016
Closest in time.
2016
Closest in time.
J. Cramer, N. Kalb, M. A. Rol, B. Hensen, M. S. Blok, M. Markham, D. J. Twitchen, R. Hanson, and T. H. Taminiau, Repeated quantum error correction on a continuously encoded qubit by real-time feedback, Nat. Commun. 7
2016
Closest in time.
Y. Ouyang and J. Fitzsimons, Permutation-invariant codes encoding more than one qubit, Phys. Rev. A 93
2016
Closest in time.
E. Kapit, Hardware-efficient and fully autonomous quantum error correction in superconducting circuits, Phys. Rev. Lett. 116
2016
Closest in time.