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Poulin, Tillich, and Ollivier discovered an important separation between the classical and quantum theories of convolutional coding, by proving that a quantum convolutional encoder cannot be both non-catastrophic and recursive.
Convolutional codes and their performance in communication systems
Andrew J. Viterbi · 1971
Earlier work this paper cites.
Serial concatenation of interleaved codes: performance analysis, design, and iterative decoding
S. Benedetto, D. Divsalar, G. Montorsi, and F. Pollara · 1998
Earlier work this paper cites.
On the minimum distance of parallel and serially concatenated codes
Nabil Kahale and Rüdiger Urbanke · 1998
Earlier work this paper cites.
Fundamentals of Convolutional Coding
Rolf Johannesson and Kamil Sh. Zigangirov · 1999
Earlier work this paper cites.
The Theory of Information and Coding
Robert J. McEliece · 2002
Cited alongside, same era.
Description of a quantum convolutional code
Harold Ollivier and Jean-Pierre Tillich · 2003
Cited alongside, same era.
Quantum serial turbo-codes
David Poulin, Jean-Pierre Tillich, and Harold Ollivier · 2009
Cited alongside, same era.
The minimum distance of classical and quantum turbo-codes
Mamdouh Abbara and Jean-Pierre Tillich · 2011
Cited alongside, same era.
Entanglement boosts quantum turbo codes
Mark M. Wilde and Min-Hsiu Hsieh · 2011
Later among the works it cites.
Minimal-memory, non-catastrophic, polynomial-depth quantum convolutional encoders
Monireh Houshmand, Saied Hosseini-Khayat, and Mark M. Wilde · 2012
Closest in time.
Entanglement-assisted quantum turbo codes
Mark M. Wilde, Min-Hsiu Hsieh, and Zunaira Babar · 2013
Closest in time.
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