Linking resource quantifiers and operational tasks in quantum information theory

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Prof.

Paul

Skrzypczyk

University of Bristol, School of Physics

February 3, 2021 12:30 PM

It is important to be able to quantify in a meaningful way quantum phenomena which can be thought of as resources, such as entanglement, coherence, or measurement informativeness. In this talk I will discuss recent work which has shown that resources quantifiers based upon their robustness to noise, which are geometrical in nature, completely characterise the biggest advantage provided by that resource in discrimination tasks. I will also present a second parallel work which found an analogous relationship between resource quantifiers based upon 'resource weight', which completely characterise the biggest advantage provided by that resource in exclusion tasks.