A semidefinite programming upper bound of quantum capacity

L. G. Khachiyan, “Polynomial algorithms in linear programming,” USSR Computational Mathematics and Mathematical Physics , vol. 20, no. 1, pp. 53–72, 1980

1980

Earlier work this paper cites.

B. Schumacher and M. A. Nielsen, “Quantum data processing and error correction,” Physical Review A , vol. 54, no. 4, p. 2629, 1996

1996

Earlier work this paper cites.

L. Vandenberghe and S. Boyd, “Semidefinite programming,” SIAM review , vol. 38, no. 1, pp. 49–95, 1996

1996

Earlier work this paper cites.

S. Lloyd, “Capacity of the noisy quantum channel,” Physical Review A , vol. 55, no. 3, p. 1613, 1997

1997

Earlier work this paper cites.

D. Bruß, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, “Optimal universal and state-dependent quantum cloning,” Physical Review A , vol. 57, no. 4, p. 2368, 1998

1998

Earlier work this paper cites.

H. Barnum, M. A. Nielsen, and B. Schumacher, “Information transmission through a noisy quantum channel,” Physical Review A , vol. 57, no. 6, p. 4153, 1998

1998

Earlier work this paper cites.

N. J. Cerf, “Pauli cloning of a quantum bit,” Physical Review Letters , vol. 84, no. 19, p. 4497, 2000

2000

Earlier work this paper cites.

H. Barnum, E. Knill, and M. A. Nielsen, “On quantum fidelities and channel capacities,” IEEE Transactions on Information Theory , vol. 46, no. 4, pp. 1317–1329, 2000

2000

Earlier work this paper cites.

A. S. Holevo and R. F. Werner, “Evaluating capacities of bosonic Gaussian channels,” Physical Review A , vol. 63, no. 3, p. 32312, 2001

2001

Earlier work this paper cites.

E. M. Rains, “A semidefinite program for distillable entanglement,” IEEE Transactions on Information Theory , vol. 47, no. 7, p. 2921, 2001

2001

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.

I. Devetak, “The private classical capacity and quantum capacity of a quantum channel,” IEEE Transactions on Information Theory , vol. 51, no. 1, pp. 44–55, 2005

2005

Cited alongside, same era.

C. H. Bennett, I. Devetak, P. W. Shor, and J. A. Smolin, “Inequalities and separations among assisted capacities of quantum channels,” Physical Review Letters , vol. 96, no. 15, p. 150502, 2006

2006

Cited alongside, same era.

M. M. Wolf and D. Perez-Garcia, “Quantum capacities of channels with small environment,” Physical Review A , vol. 75, no. 1, p. 12303, 2007

2007

Cited alongside, same era.

G. Smith, J. Smolin, and A. Winter, “The quantum capacity with symmetric side channels,” IEEE Transactions on Information Theory , vol. 54, no. 9, pp. 4208–4217, 2008

2008

Cited alongside, same era.

G. Smith and J. Smolin, “Additive extensions of a quantum channel,” Proceedings of IEEE Information Theory Workshop (ITW) , pp. 368–372, 2008

T. Cubitt, D. Elkouss, W. Matthews, M. Ozols, D. Pérez-García, and S. Strelchuk, “Unbounded number of channel uses may be required to detect quantum capacity,” Nature communications , vol. 6, 2015

2015

Later among the works it cites.

D. Leung and W. Matthews, “On the Power of PPT-Preserving and Non-Signalling Codes,” pp. 4486–4499, 2015

2015

Later among the works it cites.

L. Gao, M. Junge, and N. LaRacuente, “Capacity Bounds via Operator Space Methods,” arXiv:1509.07294 , 2015

Original

2015

Later among the works it cites.

M. Tomamichel, M. M. Wilde, and A. Winter, “Strong converse rates for quantum communication,” Proceedings of 2015 IEEE International Symposium on Information Theory (ISIT), pp. 2386–2390, 2015

2015

Later among the works it cites.

R. Duan and X. Wang, “Activated zero-error classical capacity of quantum channels in the presence of quantum no-signalling correlations,” arXiv:1510.05437 , 2015