Optimal discrimination between quantum operations

Details Optimal discrimination between quantum operations Optimal discrimination between quantum operations

2007-05-17

arxiv.org/abs/0705.2549v1

Journal of Physics A: Math. Theor. 41, 335302 (2008).

Physics

Quantum Physics

6 pages (revtex4 version); comments are welcome

Scientific paper

10.1088/1751-8113/41/33/335302

In this paper, we address the problem of discriminating two given quantum operations. Firstly, based on the Bloch representation of single qubit systems, we give the exact minimum error probability of discriminating two single qubit quantum operations by unentangled input states. In particular, for the Pauli channels discussed in [Phys. Rev. A {\bf 71}, 062340 (2005)], we use a more intuitional and visual method to deal with their discrimination problem. Secondly, we consider the condition for perfect discrimination of two quantum operations. Specially, we get that two generalized Pauli channels are perfectly distinguishable if and only if their characteristic vectors are orthogonal.

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