Two classes of quantum channels, which we call more capable and less noisy, are introduced. The more capable class consists of channels such that the quantum capacities of the complementary channels to the environments are zero. The less noisy class consists of channels such that the private capacities of the complementary channels to the environment are zero. For the more capable class, it is clarified that the private capacity and quantum capacity coincide. For the less noisy class, it is clarified that the private capacity and quantum capacity can be single letter characterized.Two classes of quantum channels, which we call more capable and less noisy, are introduced. The more capable class consists of channels such that the quantum capacities of the complementary channels to the environments are zero. The less noisy class consists of channels such that the private capacities of the complementary channels to the environment are zero. For the more capable class, it is clarified that the private capacity and quantum capacity coincide. For the less noisy class, it is clarified that the private capacity and quantum capacity can be single letter characterized.

arXiv:1110.5746Physical Review AJan 24, 201250 citations

Noise enhancing the classical information capacity of a quantum channel

Garry Bowen, Stefano Mancini

arXiv:quant-ph/0311126Physics Letters ADec 16, 200313 citations

Quantum Capacity under Adversarial Quantum Noise: Arbitrarily Varying Quantum Channels

Rudolf Ahlswede, Igor Bjelaković, Holger Boche +1 more

arXiv:1010.0418Communications in Mathematical PhysicsNov 19, 201247 citations

Entanglement-Assisted Classical Capacity of Noisy Quantum Channels

Charles H. Bennett, Peter W. Shor, John A. Smolin +1 more

Prior entanglement between sender and receiver, which exactly doubles the classical capacity of a noiseless quantum channel, can increase the classical capacity of some noisy quantum channels by an arbitrarily large constant factor depending on the channel, relative to the best known classical capacity achievable without entanglement. The enhancement factor is greatest for very noisy channels, with positive classical capacity but zero quantum capacity. We obtain exact expressions for the entanglement-assisted capacity of depolarizing and erasure channels in $d$ dimensions.Prior entanglement between sender and receiver, which exactly doubles the classical capacity of a noiseless quantum channel, can increase the classical capacity of some noisy quantum channels by an arbitrarily large constant factor depending on the channel, relative to the best known classical capacity achievable without entanglement. The enhancement factor is greatest for very noisy channels, with positive classical capacity but zero quantum capacity. We obtain exact expressions for the entanglement-assisted capacity of depolarizing and erasure channels in $d$ dimensions.

arXiv:quant-ph/9904023Physical Review LettersOct 11, 1999611 citations

ON CAPACITIES OF QUANTUM CHANNELS

Masanori Ohya, Dėnes Petz, Noboru Watanabe

WORLD SCIENTIFIC eBooksFeb 1, 200836 citations

d

dimensions.