Discrimination of POVMs with rank-one effects

Abstract

The main goal of this work is to provide an insight into the problem of discrimination of positive operator valued measures with rank-one effects. It is our intention to study multiple shot discrimination of such measurements, that is the case when we are able to use to unknown measurement a given number of times. Furthermore, we are interested in comparing two possible discrimination schemes: the parallel and adaptive ones. To this end we construct a pair of symmetric, information complete positive operator valued measures which can be perfectly discriminated in a two-shot adaptive scheme. On top of this we provide an explicit algorithm which allows us to find this adaptive scheme.

11 pages, 4 figures

References in corpus (4)

• Quantum Circuits Architecture
• On SIC-POVMs in Prime Dimensions
• Evaluating the Advantage of Adaptive Strategies for Quantum Channel Distinguishability
• Coherent Quantum Channel Discrimination

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• Simple upper and lower bounds on the ultimate success probability for discriminating arbitrary finite-dimensional quantum processes
• Strategies for single-shot discrimination of process matrices
• On the optimal certification of von Neumann measurements
• Quantum process discrimination with restricted strategies
• Operation fidelity explored by numerical range of Kraus operators
• Excluding false negative error in certification of quantum channels