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I will give an overview of what I see as some of the most important future directions in the theory of fault-tolerant quantum computation.
1904
Earlier work this paper cites.
1905
Earlier work this paper cites.
1907
Earlier work this paper cites.
A. Krishna and D. Poulin, Fault-tolerant gates on hypergraph product codes, Phys. Rev. X
1909
Earlier work this paper cites.
P. W. Shor, Fault-tolerant quantum computation, in 37th Symposium on Foundations of Computing (FOCS)
1996
Earlier work this paper cites.
D. Gottesman, Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound, Phys. Rev. A
1996
Earlier work this paper cites.
A. R. Calderbank, E. M. Rains, P. W. Shor, N. J. A. Sloane, Quantum Error Correction and Orthogonal Geometry, Phys. Rev. Lett
1997
Earlier work this paper cites.
A. Y. Kitaev, Quantum computations: algorithms and error correction, Russian Math. Surveys
1997
Earlier work this paper cites.
D. Gottesman, A Theory of Fault-Tolerant Quantum Computation, Phys. Rev. A
1998
Earlier work this paper cites.
E. Knill, R. Laflamme, and W. H. Zurek, Resilient Quantum Computation, Science
1998
Earlier work this paper cites.
D. Gottesman, The Heisenberg Representation of Quantum Computers, in Group22: Proceedings of the XXII International Colloquium on Group Theoretical Methods in Physics
1999
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
1999
Earlier work this paper cites.
D. Gottesman, Fault-Tolerant Quantum Computation with Local Gates, J. Modern Optics
2000
Earlier work this paper cites.
D. Gottesman, A. Kitaev, and J. Preskill, Encoding a Qubit in an Oscillator, Phys. Rev. A
2001
Earlier work this paper cites.
J. Harrington and J. Preskill, Achievable rates for the Gaussian quantum channel, Phys. Rev. A
2001
Earlier work this paper cites.
R. Raussendorf and H. Briegel, A One-Way Quantum Computer, Phys. Rev. Lett
2001
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, J. Math. Phys
2002
Earlier work this paper cites.
2004
Earlier work this paper cites.
S. Bravyi and A. Y. Kitaev, Universal Quantum Computation with ideal Clifford gates and noisy ancillas, Phys. Rev. A
2005
Earlier work this paper cites.
D. Poulin, Stabilizer Formalism for Operator Quantum Error Correction, Phys. Rev. Lett
2005
Earlier work this paper cites.
E. Knill, Quantum computing with realistically noisy devices, Nature
2005
Cited alongside, same era.
P. Aliferis, D. Gottesman, J. Preskill, Quantum accuracy threshold for concatenated distance-3 codes, Quant. Information and Computation
2006
Cited alongside, same era.
R. Raussendorf and J. Harrington, Fault-tolerant quantum computation with high threshold in two dimensions, Phys. Rev. Lett
2007
Cited alongside, same era.
D. Aharonov and M. Ben-Or, Fault-Tolerant Quantum Computation with Constant Error Rate, SIAM J. Comp
2008
Cited alongside, same era.
P. Aliferis and J. Preskill, Fault-tolerant quantum computation against biased noise, Phys. Rev. A
2008
Cited alongside, same era.
2017
Later among the works it cites.
J. Preskill, Quantum Computing in the NISQ era and beyond, Quantum
2018
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2018
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2018
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2009
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
2010
Cited alongside, same era.
2013
Cited alongside, same era.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2020
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
M. Hastings and J. Haah, Dynamically Generated Logical Qubits, Quantum
2021
Later among the works it cites.
N. Berthusen and D. Gottesman, work in progress (2022)
2022
Closest in time.
P. Panteleev, G. Kalachev, Asymptotically Good Quantum and Locally Testable Classical LDPC Codes
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
N. Baspin and A. Krishna, Connectivity constrains quantum codes, Quantum
2022
Closest in time.
2022
Closest in time.