Unified Quantum Convolutional Coding

C. E. Shannon, “A mathematical theory of communication,” Bell System Technical Journal , vol. 27, pp. 379–423, 1948

1948

Earlier work this paper cites.

A. J. Viterbi, “Error bounds for convolutional codes and an asymptotically optimum decoding algorithm,” IEEE Trans. Inf. Theory , vol. 13, pp. 260–269, 1967

1967

Earlier work this paper cites.

S. Lloyd, “Capacity of the noisy quantum channel,” Phys. Rev. A , vol. 55, no. 3, pp. 1613–1622, Mar 1997

1997

Earlier work this paper cites.

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information . Cambridge University Press, 2000

2000

Earlier work this paper cites.

P. W. Shor, “The quantum channel capacity and coherent information,” in Lecture Notes, MSRI Workshop on Quantum Computation , 2002

2002

Earlier work this paper cites.

H. Ollivier and J.-P. Tillich, “Quantum convolutional codes: fundamentals,” arXiv:quant-ph/0401134 , 2004

2004

Earlier work this paper cites.

I. Devetak, “The private classical capacity and quantum capacity of a quantum channel,” IEEE Trans. Inf. Theory , vol. 51, pp. 44–55, 2005

2005

Earlier work this paper cites.

I. Devetak, A. W. Harrow, and A. Winter, “A resource framework for quantum shannon theory,” arXiv:quant-ph/0512015 , 2005

2005

Cited alongside, same era.

I. Devetak and P. W. Shor, “The capacity of a quantum channel for simultaneous transmission of classical and quantum information,” Communications in Mathematical Physics , vol. 256, pp. 287–303, 2005

2005

Cited alongside, same era.

D. Kribs, R. Laflamme, and D. Poulin, “Unified and generalized approach to quantum error correction,” Physical Review Letters , vol. 94, no. 18, p. 180501, 2005

2005

Cited alongside, same era.

D. Poulin, “Stabilizer formalism for operator quantum error correction,” Physical Review Letters , vol. 95, no. 23, p. 230504, 2005

2005

Cited alongside, same era.

T. A. Brun, I. Devetak, and M.-H. Hsieh, “Correcting quantum errors with entanglement,” Science , vol. 314, no. 5798, pp. pp. 436 – 439, October 2006

M.-H. Hsieh, I. Devetak, and T. Brun, “General entanglement-assisted quantum error-correcting codes,” Phys. Rev. A , vol. 76, p. 062313, 2007

2007

Later among the works it cites.

M. M. Wilde and T. A. Brun, “Entanglement-assisted quantum convolutional coding,” arXiv:0712.2223 , 2007

Original

2007

Later among the works it cites.

G. D. Forney, M. Grassl, and S. Guha, “Convolutional and tail-biting quantum error-correcting codes,” IEEE Trans. Inf. Theory , vol. 53, pp. 865–880, 2007

2007

Later among the works it cites.

C. Bény, A. Kempf, and D. W. Kribs, “Generalization of quantum error correction via the heisenberg picture,” Physical Review Letters , vol. 98, no. 10, p. 100502, 2007

2007

Later among the works it cites.

D. Poulin, J.-P. Tillich, and H. Ollivier, “Quantum serial turbo-codes,” arXiv:0712.2888 , 2007