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arXiv · 2310.17735

Values of cooperative quantum games

Jason Crann·Rupert H. Levene·Ivan G. Todorov·Lyudmila Turowska
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Abstract

We develop a resource-theoretical approach that allows us to quantify values of two-player, one-round cooperative games with quantum inputs and outputs, as well as values of quantum probabilistic hypergraphs. We analyse the quantum game values arising from the type hierarchy of quantum no-signalling correlations, establishing tensor norm expressions for each of the correlation types. As a consequence, we provide metric characterisations of state convertibility via LOSR and LOCC.En route, we obtain an alternative description of the maximal tensor products of ternary rings of operators.

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Jason Crann, Rupert H. Levene, Ivan G. Todorov, Lyudmila Turowska. 2023-10-26. Values of cooperative quantum games. https://arxiv.org/abs/2310.17735

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