1998
DOI: 10.1103/physreva.58.146
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Quantum channels showing superadditivity in classical capacity

Abstract: We consider a channel coding for sending classical information through a quantum channel with a given ensemble of quantum states (letter states). As well known, it is generically possible in a quantum channel that the transmittable information in block coding of length n can exceed n times the maximum amount that can be sent without any coding scheme. This so-called superadditivity in classical capacity of a quantum channel is a distinct feature that can not be found in classical memoryless channel. In this pa… Show more

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Cited by 127 publications
(140 citation statements)
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“…Two different approaches to the problem have been proposed. The first scenario, the ambiguous quantum state discrimination, has been analyzed by Holevo, Helstrom and others [6,7,8,9,10,11,12,13]. They considered discrimination of N mixed quantum states ρ j that are generated by Alice with the a-priori probabilities p j ,…”
Section: Introductionmentioning
confidence: 99%
“…Two different approaches to the problem have been proposed. The first scenario, the ambiguous quantum state discrimination, has been analyzed by Holevo, Helstrom and others [6,7,8,9,10,11,12,13]. They considered discrimination of N mixed quantum states ρ j that are generated by Alice with the a-priori probabilities p j ,…”
Section: Introductionmentioning
confidence: 99%
“…Unfortunately, attacking this problem by analytical means has chance to succeed only in the simplest cases (M = 2) [1], or cases with symmetric or linearly independent states [5,10,15,17,24]. In most situations one must resort to numerical methods.…”
mentioning
confidence: 99%
“…The quantum information picture allows one to optimize not only over encodings, but also detection apparatus and states used in the protocol. Quantum measurements may be collective, i.e., performed on the outputs of a large number of channel uses, which in principle can enhance the communication performance over the best single-shot strategy, the phenomenon known as output superadditivity [18,20,31]. Therefore, a valid quantity describing communication performance is a regularized mutual information optimized over (possibly collective) output measurements…”
Section: Communication Theorymentioning
confidence: 99%
“…In that picture many fundamental results have been obtained concerning both specific transmission protocols [2][3][4][5][6][7] and general optimal bounds [8][9][10][11][12][13]. The application of laws of quantum mechanics has allowed for a deeper analysis of communication [14][15][16][17] and showing such effects as output and input superadditivity [18][19][20] or finite optimal rates even for noiseless channels, emerging from nonclassical phenomena such as entanglement or the Heisenberg uncertainty principle.…”
Section: Introductionmentioning
confidence: 99%