Maximum Confidence Quantum Measurements

Abstract

We consider the problem of discriminating between states of a specified set with maximum confidence. For a set of linearly independent states unambiguous discrimination is possible if we allow for the possibility of an inconclusive result. For linearly dependent sets an analogous measurement is one which allows us to be as confident as possible that when a given state is identified on the basis of the measurement result, it is indeed the correct state.

4 pages, 2 figures

Cited by in corpus (11)

• Experimental Realization of Maximum Confidence State Discrimination for the Extraction of Quantum Information
• State discrimination with error margin and its locality
• Optimal bounded-error strategies for projective measurements in non-orthogonal state discrimination
• Optimum unambiguous discrimination of two mixed states and application to a class of similar states
• No-Signalling Bound on Quantum State Discrimination
• Discrimination of two mixed quantum states with maximum confidence and minimum probability of inconclusive results
• Discrimination between pure states and mixed states
• Retrodictive fidelities for pure state postselectors
• Preamplified photodetectors for high-fidelity postselecting optical devices
• Fidelity for imperfect postselection
• Parameter estimation for mixed states from a single copy