Optimal discrimination between quantum operations

Abstract

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.

6 pages (revtex4 version); comments are welcome

References in corpus (4)

• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Unambiguous discrimination among quantum operations
• Minimum-error discrimination between mixed quantum states
• Unambiguous discrimination among oracle operators

Cited by in corpus (9)

• Optimal two-copy discrimination of quantum measurements
• Capability of local operations and classical communication for distinguishing bipartite unitary operations
• Generalized quantum process discrimination problems
• Simple upper and lower bounds on the ultimate success probability for discriminating arbitrary finite-dimensional quantum processes
• Comparison of mixed quantum states
• Query complexity of unitary operation discrimination
• Identifying quantum change points for Hamiltonians
• Quantum process discrimination with restricted strategies
• Improving quantum channel discrimination with resourceful states