Classical and quantum capacities of a fully correlated amplitude damping channel

被引:37
作者
D'Arrigo, A. [1 ,2 ]
Benenti, G. [3 ,4 ,5 ]
Falci, G. [1 ,2 ,6 ,7 ]
Macchiavello, C. [8 ,9 ]
机构
[1] CNR IMM UOS Univ MATIS, Consiglio Nazl Ric, I-95123 Catania, Italy
[2] Univ Catania, Dipartimento Fis & Astron, I-95123 Catania, Italy
[3] CNISM, I-22100 Como, Italy
[4] Univ Insubria, Ctr Nonlinear & Complex Syst, I-22100 Como, Italy
[5] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy
[6] Ctr Siciliano Fis Nucl & Strut Mat, I-95123 Catania, Italy
[7] Ist Nazl Fis Nucl, Sez Catania, I-95123 Catania, Italy
[8] INFN, Sez Pavia, I-27100 Pavia, Italy
[9] Dipartimento Fis, I-27100 Pavia, Italy
来源
PHYSICAL REVIEW A | 2013年 / 88卷 / 04期
关键词
INFORMATION; ENTANGLEMENT; TRANSMISSION;
D O I
10.1103/PhysRevA.88.042337
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study information transmission over a fully correlated amplitude damping channel acting on two qubits. We derive the single-shot classical channel capacity and show that entanglement is needed to achieve the channel best performance. We discuss the degradability properties of the channel and evaluate the quantum capacity for any value of the noise parameter. We finally compute the entanglement-assisted classical channel capacity.
引用
收藏
页数:15
相关论文
共 51 条
[1]   von Neumann capacity of noisy quantum channels [J].
Adami, C ;
Cerf, NJ .
PHYSICAL REVIEW A, 1997, 56 (05) :3470-3483
[2]  
[Anonymous], 2006, Elements of Information Theory
[3]   Channel capacities of an exactly solvable spin-star system [J].
Arshed, Nigum ;
Toor, A. H. ;
Lidar, Daniel A. .
PHYSICAL REVIEW A, 2010, 81 (06)
[4]   Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise [J].
Banaszek, K ;
Dragan, A ;
Wasilewski, W ;
Radzewicz, C .
PHYSICAL REVIEW LETTERS, 2004, 92 (25) :257901-1
[5]   Information transmission through a noisy quantum channel [J].
Barnum, H ;
Nielsen, MA ;
Schumacher, B .
PHYSICAL REVIEW A, 1998, 57 (06) :4153-4175
[6]   Memory effects in spin-chain channels for information transmission [J].
Bayat, Abolfazl ;
Burgarth, Daniel ;
Mancini, Stefano ;
Bose, Sougato .
PHYSICAL REVIEW A, 2008, 77 (05)
[7]  
Benenti G., 2007, PRINCIPLES QUANTUM C, VII
[8]   Enhancement of Transmission Rates in Quantum Memory Channels with Damping [J].
Benenti, Giuliano ;
D'Arrigo, Antonio ;
Falci, Giuseppe .
PHYSICAL REVIEW LETTERS, 2009, 103 (02)
[9]   Entanglement-assisted classical capacity of noisy quantum channels [J].
Bennett, CH ;
Shor, PW ;
Smolin, JA ;
Thapliyal, AV .
PHYSICAL REVIEW LETTERS, 1999, 83 (15) :3081-3084
[10]   Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem [J].
Bennett, CH ;
Shor, PW ;
Smolin, JA ;
Thapliyal, AV .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (10) :2637-2655