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International Journal of Quantum Information

QUANTUM CAPACITY REGION OF SIMULTANEOUS AMPLITUDE AND PHASE DAMPED QUBIT CHANNEL

Li-zhen Jiang, Xiaoyu Chen

Published Feb 1, 2012• 3 citations
Publisher

Abstract

A typical channel model of the decoherence of qubit is the simultaneous amplitude and phase damping. The parameter region of the channel is classified using the degradability and anti-degradability. It is shown that there is a large parameter region with zero quantum capacity. The formula for one-shot quantum capacity is also given.
DOI
10.1142/s0219749912500104

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The set of Multi-level Amplitude Damping (MAD) quantum channels is introduced as a generalization of the standard qubit Amplitude Damping Channel to quantum systems of finite dimension ddd. In the special case of d=3d=3d=3, by exploiting degradability, data-processing inequalities, and channel isomorphism, we compute the associated quantum and private classical capacities for a rather wide class of maps, extending the set of solvable models known so far. We proceed then to the evaluation of the entanglement assisted, quantum and classical, capacities.
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