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Quantum convolutional codes, like their classical counterparts, promise to offer higher error correction performance than block codes of equivalent encoding complexity, and are expected to find important applications in reliable quantum communication where a continuous stream of qubits is transmitted.
Error correcting codes in quantum theory
Andrew M. Steane · 1996
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Good quantum error-correcting codes exist
A. Robert Calderbank and Peter W. Shor · 1996
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Stabilizer Codes and Quantum Error Correction
Daniel Gottesman · 1997
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Quantum error correction and orthogonal geometry
A. Robert Calderbank, Eric M. Rains, Peter W. Shor, and N. J. A. Sloane · 1997
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Noiseless quantum codes
Paolo Zanardi and Mario Rasetti · 1997
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Error avoiding quantum codes
Paolo Zanardi and Mario Rasetti · 1997
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Decoherence-free subspaces for quantum computation
Daniel A. Lidar, Isaac L. Chuang, and K. Birgitta Whaley · 1998
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Quantum error correction via codes over GF(4)
A. Robert Calderbank, Eric M. Rains, Peter W. Shor, and N. J. A. Sloane · 1998
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Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang · 2000
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Description of a quantum convolutional code
Harold Ollivier and Jean-Pierre Tillich · 2003
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Quantum convolutional codes: Fundamentals
Harold Ollivier and Jean-Pierre Tillich · 2004
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Simple rate-1/3 convolutional and tail-biting quantum error-correcting codes
G. David Forney and Saikat Guha · 2005
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Noncatastrophic encoders and encoder inverses for quantum convolutional codes
Markus Grassl and Martin Rötteler · 2006
Cited alongside, same era.
Quantum convolutional codes: Encoders and structural properties
Markus Grassl and Martin Rötteler · 2006
Cited alongside, same era.
Constructions of quantum convolutional codes
Markus Grassl and Martin Rötteler · 2007
Cited alongside, same era.
Convolutional and tail-biting quantum error-correcting codes
G. David Forney, Markus Grassl, and Saikat Guha · 2007
Cited alongside, same era.
Unified quantum convolutional coding
Mark M. Wilde and Todd A. Brun · 2008
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Extra shared entanglement reduces memory demand in quantum convolutional coding
Mark M. Wilde and Todd A. Brun · 2009
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David Poulin, Jean-Pierre Tillich, and Harold Ollivier · 2009
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Quantum-shift-register circuits
Mark M. Wilde · 2009
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Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein · 2009
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Salah A. Aly, Markus Grassl, Andreas Klappenecker, Martin Rötteler, and Pradeep Kiran Sarvepalli · 2007
Cited alongside, same era.
Quantum convolutional codes derived from Reed-Solomon and Reed-Muller codes
Salah A. Aly, Andreas Klappenecker, and Pradeep Kiran Sarvepalli · 2007
Cited alongside, same era.
Quantum Error Correction and Fault Tolerant Quantum Computing
Frank Gaitan · 2008
Cited alongside, same era.
Monireh Houshmand, Saied Hosseini-Khayat, and Mark M.Wilde · 2010
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Convolutional entanglement distillation
Mark M. Wilde, Hari Krovi, and Todd A. Brun · 2010
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Entanglement-assisted quantum convolutional coding
Mark M. Wilde and Todd A. Brun · 2010
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Mark M. Wilde and Todd A. Brun · 2010
Closest in time.