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Quantum error correction (QEC) and fault-tolerant quantum computation represent one of the most vital theoretical aspect of quantum information processing.
Probabilistic logics and the synthesis of reliable organisms from unreliable components
J. Von Neumann · 1955
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NMR Population Inversion Using a Composite Pulse
M.H. Levitt and R. Freeman · 1979
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Bicontinuous extension of reversible combinatorial functions
T. Toffoli · 1981
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A Single Quantum Cannot be Cloned
W.K. Wooters and W.H. Zurek · 1982
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Reliable computation with cellular automata
P. Gács · 1983
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State reduction in quantum-counting quantum nondemolition measurements
G.J. Milburn and D.F. Walls · 1984
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Quantum nondemolition measurement of the photon number via the optical Kerr effect
N. Imoto, H.A. Haus, and Y. Yamamoto · 1985
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Composite Pulses
M.H. Levitt · 1986
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The Evolution of Fault-Tolerant Computing
A. Avizienis · 1987
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Bell’s theorem, Quantum, and Conceptions of the Universe
D.M. Greenberger, M.A. Horne, and A. Zeilinger · 1989
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Bell’s theorem without inequalities
D.M. Greenberger, M.A. Horne, A. Shimony, and A. Zeilinger · 1990
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Quantum Noise
C.W. Gardiner · 1991
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Scheme for reducing decoherence in quantum computer memory
P.W. Shor · 1995
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Maintaining Coherence in Quantum Computers
W.G. Unruh · 1995
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Mixed State Entanglement and Quantum Error Correction
C.H. Bennett, D.P. DiVincenzo J.A. Smolin, and W.K. Wooters · 1996
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Good Quantum Error-Correcting codes exist
A.R. Calderbank and P.W. Shor · 1996
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Fault-Tolerant error correction with efficient quantum codes
D.P. DiVincenzo and P.W. Shor · 1996
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Quantum Computation and Shor’s Factoring Algorithm
A. Ekert and R. Jozsa · 1996
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A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
D. Gottesman · 1996
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Accuracy threshold for Quantum Computation
E. Knill, R. Laflamme, and W.H. Zurek · 1996
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Non-binary Unitary Error Bases and Quantum Codes
E. Knill · 1996
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Perfect Quantum Error Correcting Code
R. Laflamme, C. Miquel, J.P. Paz, and W.H. Zurek · 1996
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Quantum Computers and Dissipation
G. Massimo Palma, K-A. Suominen, and A.K. Ekert · 1996
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Fault-Tolerant quantum computation
P.W. Shor · 1996
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Error Correcting Codes in Quantum Theory
A.M. Steane · 1996
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Multiple particle interference and quantum error correction
A.M. Steane · 1996
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Simple quantum error-correcting codes
A.M. Steane · 1996
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Fault-tolerant Quantum Computation with constant error
D. Aharonov and M. Ben-Or · 1997
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Efficient Computations of Encodings for Quantum Error Correction
R. Cleve and D. Gottesman · 1997
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Preserving Coherence in Quantum Computation by Pairing quantum Bits
L.-M. Duan and G.-C. Guo · 1997
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Codes for the quantum erasure channel
M. Grassl, Th. Beth, and T. Pellizzari · 1997
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PhD Thesis (Caltech)
D. Gottesman · 1997
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Quantum Computations: algorithms and error correction
A.Y. Kitaev · 1997
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Theory of quantum error-correcting codes
E. Knill and R. Laflamme · 1997
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Complete Characterization of a quantum process; the two-bit quantum gate
J.F. Poyatos, J.I. Cirac, and P. Zoller · 1997
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Quantum Error Correction in the Presence of Spontaneous Emission
M.B. Plenio, V. Vedral, and P.L. Knight · 1997
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Polynomial-Time algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
P.W. Shor · 1997
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Active Stabilization, Quantum Computation and Quantum State Synthesis
A.M. Steane · 1997
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The Ion Trap Quantum Information Processor
A.M. Steane · 1997
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Error Avoiding Quantum Codes
P. Zanardi and M. Rasetti · 1997
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Noisless Quantum Codes
P. Zanardi and M. Rasetti · 1997
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Quantum codes on a lattice with boundary
S. Bravyi and A. Kitaev · 1998
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Error Correction for continuous quantum variables
S.L. Braunstein · 1998
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Quantum Error Correction via Codes Over GF(4)
A.R. Calderbank, E.M. Rains, P.W. Shor, and N.J.A. Sloane · 1998
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Prevention of dissipation with two particles
L.-M. Duan and G.-C. Guo · 1998
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Reducing decoherence in quantum computer-memory with all quantum bits coupling to the same environment
L.-M. Duan and G.-C. Guo · 1998
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A theory of Fault-Tolerant quantum computation
D. Gottesman · 1998
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A Silicon-Based nuclear spin Quantum Computer
B.E. Kane · 1998
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Resilient Quantum Computation
E. Knill, R. Laflamme, and W.H. Zurek · 1998
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Decoherence-Free Subspaces for Quantum Computation
D.A. Lidar, I.L. Chuang, and K.B. Whaley · 1998
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Analog Quantum Error Correction
S. Lloyd and J. E. Slotine · 1998
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Introduction To Quantum Computation
J. Preskill · 1998
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Dynamical suppression of decoherence in two-state quantum systems
L. Viola and S. Lloyd · 1998
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Computing minimum-weight perfect matchings
W. Cook and A. Rohe · 1999
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Demonstrating the viability of Universal Quantum Computation using teleportation and single qubit operations
D. Gottesman and I.L. Chuang · 1999
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Dynamical Decoupling of Open Quantum Systems
L. Viola, E. Knill, and S. Lloyd · 1999
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Using parity kicks for decoherence control
D. Vitali and P. Tombesi · 1999
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Symmetrizing evolutions
P. Zanardi · 1999
Cited alongside, same era.
Amplifying Quantum Signals with the Single-Electron Transistor
M.H. Devoret and R.J. Schoelkopf · 2000
Cited alongside, same era.
Operator Quantum Error-Correcting Subsystems for self-correcting quantum memories
D. Bacon · 2006
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Topological Quantum Distillation
H. Bombin and M.A. Martin-Delgato · 2006
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The Solovay-Kitaev Algorithm
C.M. Dawson and M.A. Nielsen · 2006
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Error correcting codes for adiabatic quantum computation
S.P. Jordan, E. Farhi, and P.W. Shor · 2006
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Operator Quantum Error Correction
D. Kribs, R. Laflamme, D. Poulin, and M. Lesosky · 2006
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Threshold Error Penalty for Fault-Tolerant Computation with Nearest Neighbour Communication
T. Szkopek, P.O. Boykin, H. Fan, V.P. Roychowdhury, E. Yablonovitch, G. Simms, M. Gyure, and B. Fong · 2006
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D. Gottesman · 2000
Cited alongside, same era.
Steady-State quantum statistics of a non-Markovian atom laser
J.J. Hope, G.M. Moy, M.J. Collett, and C.M. Savage · 2000
Cited alongside, same era.
A Theory of Quantum Error-Correcting Codes
E. Knill and R. Laflamme · 2000
Cited alongside, same era.
Theory of Quantum Error Correction for General Noise
E. Knill, R. Laflamme, and L. Viola · 2000
Cited alongside, same era.
Quantum Computation and Information
M.A. Nielsen and I.L. Chuang · 2000
Cited alongside, same era.
Motional Quantum Error Correction
J. Steinbach and J. Twamley · 2000
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Quantum error correction via robust probe modes
F. Yamaguchi, K. Nemoto, and W.J. Munro · 2006
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Subsystem fault tolerance with the Bacon-Shor code
P. Aliferis and A.W. Cross · 2007
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PhD Thesis (Caltech), 2007
P. Aliferis · 2007
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Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study
H. Bombin and M.A. Martin-Delgato · 2007
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Topological Computation without Braiding
H. Bombin and M.A. Martin-Delgato · 2007
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Effective Fault-Tolerant Quantum Computation with slow measurement
D.P. DiVincenzo and P. Aliferis · 2007
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Subspace Confinement: How good is your Qubit?
S.J. Devitt, S.G. Schirmer, D.K.L. Oi, J.H. Cole, and L.C.L. Hollenberg · 2007
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Long-range coupling and scalable architecture for superconducting flux qubits
A.G. Fowler, W.F. Thompson, Z. Yan, A.M. Stephens, B.L.T Plourde, and F. K. Wilhelm · 2007
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Fault-tolerant quantum computation with high threshold in two dimensions
R. Raussendorf and J. Harrington · 2007
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Topological fault-tolerance in cluster state quantum computation
R. Raussendorf, J. Harrington, and K. Goyal · 2007
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Noise Threshold for a Fault-Tolerant Two-Dimensional Lattice Architecture
K.M. Svore, D.P. DiVincenzo, and B.M. Terhal · 2007
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Keeping a Quantum Bit Alive by Optimized π-Pulse Sequences
G.S. Uhrig · 2007
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Fault-tolerant Quantum Computation with constant error rate
D. Aharonov and M. Ben-Or · 2008
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Accuracy threshold for Quantum Computation
P. Aliferis, D. Gottesman, and J. Preskill · 2008
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Fault-Tolerant quantum computation against biased noise
P. Aliferis and J. Preskill · 2008
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Statistical Mechanical Models and Topological Color Codes
H. Bombin and M.A. Martin-Delgato · 2008
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Quantum Self-Correcting Stabilizer Codes
A. Kay and R. Colbeck · 2008
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Non-Abelian anyons and topological quantum computation
C. Nayak, S.H. Simon, A. Stern, M. Freedman, and S. Das Sarma · 2008
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Subsystem Code Conversion
A. Stephens, Z. W. E. Evans, S. J. Devitt, and L.C.L. Hollenberg · 2008
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Universal Fault-Tolerant Computation on bilinear nearest neighbor arrays
A. Stephens, A.G. Fowler, and L.C.L. Hollenberg · 2008
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A Note on Quantum Error Correction with Continuous Variables
P. van Loock · 2008
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Fault-Tolerant Computing With Biased-Noise Superconducting Qubits
P. Aliferis, F. Brito, D.P. DiVincenzo, J. Preskill, M. Steffen, and B.M. Terhal · 2009
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A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
S. Bravyi and B.M. Terhal · 2009
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Architectural design for a topological cluster state quantum computer
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Restrictions on Transversal Encoded Quantum Gate Sets
B. Eastin and E. Knill · 2009
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Topological cluster state quantum computing
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High threshold universal quantum computation on the surface code
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An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation
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Composite pulses in NMR quantum computation
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Error Threshold for Color Codes and Random 3-Body Ising Models
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Blossom V: A new implementation of a minimum cost perfect matching algorithm
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Thresholds for topological codes in the presence of loss
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A Scalable, high-speed measurement based quantum computer using trapped ions
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On thermal Stability of topological qubit in Kitaev’s 4D Model
R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki · 2010
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Topological color codes on Union Jack Lattices: A Stable Implementation of the whole Clifford Group
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Distributed Quantum Computation Architecture Using Semiconductor Nanophotonics
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Threshold Error rates for the toric and surface codes
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Clifford Gates by Code Deformation
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High Performance Quantum Computing
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Optimal error correction in topological subsystem codes
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