Resolving two issues in the theory of quantum measurements (i.e., sharpness and incompatibility) using the method of statistical comparison

Resolving two issues in the theory of quantum measurements (i.e., sharpness and incompatibility) using the method of statistical comparison

Seminar author:Francesco Buscemi

Event date and time:09/28/2023 04:00:am

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In this talk I will discuss two problems in the theory of quantum measurements that have been hotly debated in recent years: incompatibility and sharpness. I will show how approaching the debate from a resource-theoretic perspective can provide a solution. Our construction is based on the theory of statistical comparison — in particular, on a variant of the Blackwell-Sherman-Stein theorem for quantum channels.

References:

1. F.B., E. Chitambar, W. Zhou; PRL 124, 120401 (2020)
2. F.B., K. Kobayashi, S. Minagawa, A. Tosini, P. Perinotti; Quantum 7, 1035 (2023)
3. F.B., K. Kobayashi, S. Minagawa; arXiv:2303.07737