Minimax discrimination of two Pauli channels

Abstract

We consider the problem of optimally discriminating two Pauli channels in the minimax strategy, maximizing the smallest of the probabilities of correct identification of the channel. We find the optimal input state at the channel and show the conditions under which using entanglement strictly enhances distinguishability. We finally compare the minimax strategy with the Bayesian one.

9 pages, 3 figures

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Cited by in corpus (17)

• Efficient tools for quantum metrology with uncorrelated noise
• Memory effects in quantum channel discrimination
• Unambiguous discrimination among quantum operations
• Process POVM: A mathematical framework for the description of process tomography experiments
• Optimum Unambiguous Discrimination of Linearly Independent Pure States
• Identification and Distance Measures of Measurement Apparatus
• Computing the distance between quantum channels: Usefulness of the Fano representation
• Ancilla-Assisted Enhancement of Channel Estimation for Low-Noise Parameters
• Unitary transformations can be identified locally
• Precision bounds in noisy quantum metrology
• Experimentally feasible measures of distance between quantum operations
• N-body-extended Channel Estimation for Low-Noise Parameters
• Optimal two-copy discrimination of quantum measurements
• Optimal discrimination between quantum operations
• Discrimination of POVMs with rank-one effects
• Capability of local operations and classical communication for distinguishing bipartite unitary operations
• Query complexity of unitary operation discrimination