Quantum Steering as a Quantum Game

ORAL

Abstract

"Steerable states" are a subset of entangled states, that contain in them the set of Bell non-local states. A bipartite state shared by Alice and Bob is called steerable if by performing measurements, the ensemble that Alice can produce on Bob's side is unexplained by any local hidden variable theory. We will provide an operational interpretation of quantum steering by proposing a quantum game. The probability that the players win this game will be related to quantum steering. Furthermore, we will show how the various hierarchies between entanglement, steering and Bell non-locality are preserved by this quantum game.

*National Basic Research Program (973 Program) of China under Grant No. 2012CB921900, NSF of China (Grant Nos. 10975075 and 11175089) and by National Research Foundation and Ministry of Education of Singapore

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Authors

  • Sai Vinjanampathy

    • National University of Singapore

  • Jing-Ling Chen

    • National University of Singapore

  • Mile Gu

    • National University of Singapore

  • L.C. Kwek

    • National University of Singapore and National Institute of Education and Institute of Advanced Studies, Nanyang Technological University, 1 Nanyang Wa