Private and Quantum Capacities of More Capable and Less Noisy Quantum Channels

Abstract

Two new 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.

6 pages, 1 figure, In v2, fig 1 is modified because fig 1 in v1 incorrectly stated that the degradable class is included in the conjugate degradable class. Main results are unchanged. V3 is the published version. In v3, the title is changed by a suggestion from an editor

References in corpus (2)

• Degenerate Quantum Codes for Pauli Channels
• The private classical capacity with a symmetric side channel and its application to quantum cryptography

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