Every Convex Quantum Resource Is Useful for Channel Discrimination

SPEAKER: Gerardo Adesso, University of NottinghamTime: 1:30-2:30pm, Monday, October 21, 2019 Venue: Room 304, Pudong Campus, 1555 Century Avenue

Broadcasting Room 264, Geography Building, Zhongbei Campus, ECNU

Abstract:

One of the central problems in the study of quantum resource theories is to provide a given resource with an operational meaning, characterizing physical tasks in which the resource can give an explicit advantage over all resourceless states. We show that this can always be accomplished for all convex resource theories. We establish in particular that any resource state enables an advantage in a channel discrimination task, allowing for a strictly greater success probability than any state without the given resource. Furthermore, we find that the generalized robustness measure serves as an exact quantifier for the maximal advantage enabled by the given resource state in a class of subchannel discrimination problems, providing a universal operational interpretation to this fundamental resource quantifier. We also consider a wider range of subchannel discrimination tasks and show that the generalized robustness still serves as the operational advantage quantifier for several well- known theories such as entanglement, coherence, and magic [Phys. Rev. Lett. 122, 140402 (2019)].

Biography:

Gerardo Adesso is a Full Professor of Mathematical Physics at the University of Nottingham in the United Kingdom, and leader of the Quantum Correlations Group. His research interests are mainly in the fundamental investigation of the border between classical and quantum world. He has provided leading contributions to the characterisation of all forms of quantum resources and their operational applications to quantum technologies. His research further extends to quantum optics, condensed matter physics, and thermodynamics.

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