Classical capacity of fermionic product channels

Details Classical capacity of fermionic product channels Classical capacity of fermionic product channels

2005-07-29

arxiv.org/abs/quant-ph/0507282v1

Physics

Quantum Physics

12 pages, 2 figures

Scientific paper

We study multi-qubit quantum channels that can be represented as a product of one-mode fermionic attenuation channels. An explicit formula for the classical capacity $C_1$ and for the minimum output entropy $S_{min}$ of these channels is proposed. We compute $S_{min}$ analytically for any number of qubits under assumption that the minimum is achieved on a Gaussian input. Apart from that, a simple numerical method for evaluating $S_{min}$ is developed. The method is applicable to any channels that are sufficiently noisy. For fermionic product channels the proposed formula for $S_{min}$ agrees with the numerical results with a precision about $10^{-9}$.

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