Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel

C. E. Shannon, “The zero-error capacity of a noisy channel,” IRE Trans. Inform. Theory , vol. IT-2, p. 8, 1956

1956

Earlier work this paper cites.

R. Hartshorne, Algebraic Geometry . New York: Springer-Verlag, 1977

1977

Earlier work this paper cites.

J. Harris, Algebraic Geometry . Springer-Verlag, 1992

1992

Earlier work this paper cites.

I. R. Shafarevich, Basic algebraic geometry 1 (2nd, revised and expanded ed.) . New York: Springer-Verlag, 1994

1994

Earlier work this paper cites.

S. Lloyd, “Capacity of the noisy quantum channel,” Phys. Rev. A , vol. 55, p. 1613, 1996

1996

Earlier work this paper cites.

B. Schumacher and M. D. Westmoreland, “Sending classical information via noisy quantum channels,” Phys. Rev. A , vol. 56, p. 131, 1997

1997

Earlier work this paper cites.

A. S. Holevo, “The capacity of the quantum channel with general signal states,” IEEE Trans. Inform. Theory , vol. 44, pp. 269–273, 1998, (arXiv:quant-ph/9611023)

1998

Earlier work this paper cites.

D. P. DiVincenzo, P. W. Shor, and J. A. Smolin, “Quantum channel capacity of very noisy channels,” Phys. Rev. A , vol. 57, p. 830, 1998, (arXiv:quant-ph/9706061)

1998

Earlier work this paper cites.

J. Körner and A. Orlitsky, “Zero-error information theory,” IEEE Trans. Inform. Theory , vol. 44, no. 6, p. 2207, 1998

1998

Earlier work this paper cites.

P. W. Shor, J. A. Smolin, and A. V. Thapliyal, “Superactivation of bound entanglement,” arXiv:quant-ph/0005117, 2000

2000

Cited alongside, same era.

P. W. Shor, “The quantum channel capacity and coherent information,” MSRI seminar, November 2002

2002

Cited alongside, same era.

D. DiVincenzo, T. Mor, P. W. Shor, J. Smolin, and B. Terhal, “Unextendible product bases, uncompletable product bases and bound entanglement,” Commun. Math. Phys. , vol. 238, no. 3, p. 379, 2003

2003

Cited alongside, same era.

I. Devetak, “The private classical capacity and quantum capacity of a quantum channel,” IEEE Trans. Inform. Theory , vol. 51, p. 44, 2005, (arXiv:quant-ph/0304127)

2005

Cited alongside, same era.

R. A. C. Medeiros and F. M. de Assis, “Quantum zero-error capacity,” Int. J. Quant. Inf. , vol. 3, p. 135, 2005

2005

Cited alongside, same era.

G. Smith and J. Yard, “Quantum communication with zero-capacity channels,” Science , vol. 321, p. 1812, 2008, (arXiv:0807.4935 [quant-ph])

Original

2008

Later among the works it cites.

R. Duan and Y. Shi, “Entanglement between two uses of a noisy multipartite quantum channel enables perfect transmission of classical information,” Phys. Rev. Lett. , 2008, (arXiv:0712.3700 [quant-ph])

Original

2008

Later among the works it cites.

T. Cubitt, A. Montanaro, and A. Winter, “On the dimension of subspaces with bounded schmidt rank,” J. Math. Phys. , vol. 49, p. 022107, 2008, (arXiv:0706.0705 [quant-ph])

Original

2008

Later among the works it cites.

J. Oppenheim, “For quantum information, two wrongs can make a right,” Science Perspectives , vol. 321, no. 5897, p. 1783, 2008

2008

Later among the works it cites.

M. B. Hastings, “A counterexample to additivity of minimum output entropy,” Nature Physics , vol. 5, 2009, (arXiv:0809.3972 [quant-ph])