Acta Photonica Sinica, Volume. 40, Issue 9, 1392(2011)
Tensor Product State Capacity of Non-interacting Fermion Quantum Channel
The physical model of non-interacting fermion quantum channel is proposed by fermionic linear optics.Based on covariance matrix property of even Gaussian state and majorization theory,a formula of fermion quantum channel minimum output entropy for even Gaussian input state is deduced.A output entropy correspondence between Gaussian state and even Gaussian state is established by adding one extra fermionic mode to n-qubit fermion system.A formula of tensor product state capacity for non-interacting fermion channel is deduced according this output entropy correspondence and under assumption that minimum output entropy is achieved on a Gaussian input state.For fermionic channel correct of proposed minimum output entropy formula is confirmed by the iterative minimization algorithm of output entropy.The numerical results is that for non-interacting fermion noisy quantum channel the proposed formula agrees with the numerical results with a precision about 10e-9.
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PENG Yong-gang, GONG Long-yan. Tensor Product State Capacity of Non-interacting Fermion Quantum Channel[J]. Acta Photonica Sinica, 2011, 40(9): 1392
Received: Feb. 16, 2011
Accepted: --
Published Online: Oct. 11, 2011
The Author Email: Yong-gang PENG (pengyg@njupt.edu.cn)