Entanglement witness game

Abstract

Motivated by Buscemi's semi-quantum nonlocal game [PRL 108, 200401(2012)], We propose an entanglement witness game, a quantum game based on entanglement witness. Similar as the semi-quantum nonlocal game, the existence of entanglement shared by the players is necessary and sufficient for obtaining a positive average payoff in our entanglement witness game. Two explicit examples are constructed to demonstrate how to play our entanglement witness game and its relations with the CHSH nonlocal game.

5 pages, 3 figures

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• All bipartite entangled states display some hidden nonlocality
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Cited by in corpus (4)

• Quantitative Coherence Witness for Finite Dimensional States
• Precise detection of multipartite entanglement in four-qubit Greenberger--Horne--Zeilinger diagonal states
• Witnessing Entanglement in Experiments with Correlated Noise
• A hierarchy of entanglement criteria for four qubit symmetric Greenberger-Horne-Zeilinger diagonal states