论文信息 - Complementarity and additivity for depolarizing channels

Complementarity and additivity for depolarizing channels

In this paper we use the method of a recent paper (quant-ph/0509101) to compute complementary channels for certain important cases, such as depolarizing and transpose-depolarizing channels. This method allows us to easily obtain the minimal Kraus representations from non--minimal ones. We also study the properties of the output purity of the tensor product of a channel and its complement.

Nilanjana Datta | Alexander S. Holevo

[1] C. King. The capacity of the quantum depolarizing channel , 2003, IEEE Trans. Inf. Theory.

[2] A. S. Holevo. Complementary Channels and the Additivity Problem , 2005 .

[3] P. Shor,et al. The Capacity of a Quantum Channel for Simultaneous Transmission of Classical and Quantum Information , 2003, quant-ph/0311131.

[4] Christopher King,et al. Properties of Conjugate Channels with Applications to Additivity and Multiplicativity , 2005 .

[5] Keiji Matsumoto,et al. Entanglement cost of antisymmetric states and additivity of capacity of some quantum channels , 2003, quant-ph/0306009.

[6] Nilanjana Datta. Multiplicativity of Maximal p-Norms in Werner-Holevo channels for $1 \le p \le 2$ , 2004 .

[7] M. Fannes,et al. Additivity of minimal entropy output for a class of covariant channels , 2004, quant-ph/0410195.

[8] Nilanjana Datta. Multiplicativity of Maximal p – Norms in Werner – Holevo Channels for 1 < p ≤ 2 , .

[9] R. Werner,et al. Counterexample to an additivity conjecture for output purity of quantum channels , 2002, quant-ph/0203003.

[10] M. Fannes,et al. Note on multiple additivity of minimal entropy output of extreme SU(d)-covariant channels , 2004 .

[11] J. Eisert,et al. Classical information capacity of a class of quantum channels , 2004, quant-ph/0412133.