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Quantum Information Processing

Quantum strategies for simple two-player XOR games

  • 01-08-2020
Published in:
Author
Ricardo Faleiro
Published in
Quantum Information Processing | Issue 8/2020

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Abstract

The non-local game scenario provides a powerful framework to study the limitations of classical and quantum correlations, by studying the upper bounds of the wining probabilities those correlations offer in cooperation games where communication between players is prohibited. Building upon results presented in the seminal work of Cleve et al. (in: 19th IEEE annual conference on computational complexity, 2004), a straightforward construction to compute the Tsirelson bounds for simple two-player XOR games is presented. The construction is applied explicitly to some examples, including the Entanglement Assisted Orientation in Space (EAOS) game of Brukner et al. (Int J Quant Inf 4(2):365–370), proving for the first time that their proposed quantum strategy is in fact the optimal, as it reaches the Tsirelson bound.

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previous article Quantum bicyclic hyperbolic codes
next article Finding broken gates in quantum circuits: exploiting hybrid machine learning
Title
Quantum strategies for simple two-player XOR games
Author
Ricardo Faleiro
Publication date
01-08-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02717-2
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This content is only visible if you are logged in and have the appropriate permissions.

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