A three-player coherent state embezzlement game

Ji, Z; Leung, D; Vidick, T

A three-player coherent state embezzlement game

Ji, Z

Leung, D Vidick, T

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Publisher:: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
Publication Type:: Journal Article
Citation:: Quantum, 2020, 4, pp. 1-19
Issue Date:: 2020-10-26

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Field	Value	Language
dc.contributor.author	Ji, Z https://orcid.org/0000-0002-7659-3178
dc.contributor.author	Leung, D
dc.contributor.author	Vidick, T
dc.date.accessioned	2021-01-05T19:19:29Z
dc.date.available	2021-01-05T19:19:29Z
dc.date.issued	2020-10-26
dc.identifier.citation	Quantum, 2020, 4, pp. 1-19
dc.identifier.issn	2521-327X
dc.identifier.issn	2521-327X
dc.identifier.uri	http://hdl.handle.net/10453/145089
dc.description.abstract	© 2020 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. All rights reserved. We introduce a three-player nonlocal game, with a finite number of classical questions and answers, such that the optimal success probability of 1 in the game can only be achieved in the limit of strategies using arbitrarily highdimensional entangled states. Precisely, there exists a constant 0 < c ≤ 1 such that to succeed with probability 1 - " in the game it is necessary to use an entangled state of at least W("-c) qubits, and it is sufficient to use a state of at most O("-1) qubits. The game is based on the coherent state exchange game of Leung et al. (CJTCS 2013). In our game, the task of the quantum verifier is delegated to a third player by a classical referee. Our results complement those of Slofstra (arXiv:1703.08618) and Dykema et al. (arXiv:1709.05032), who obtained twoplayer games with similar (though quantitatively weaker) properties based on the representation theory of finitely presented groups and C*-algebras respectively.
dc.language	en
dc.publisher	Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
dc.relation	http://purl.org/au-research/grants/arc/DP200100950
dc.relation.ispartof	Quantum
dc.relation.isbasedon	10.22331/Q-2020-10-26-349
dc.rights	info:eu-repo/semantics/openAccess
dc.title	A three-player coherent state embezzlement game
dc.type	Journal Article
utslib.citation.volume	4
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	open_access	*
dc.date.updated	2021-01-05T19:19:19Z
pubs.publication-status	Published
pubs.volume	4

Abstract:

© 2020 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. All rights reserved. We introduce a three-player nonlocal game, with a finite number of classical questions and answers, such that the optimal success probability of 1 in the game can only be achieved in the limit of strategies using arbitrarily highdimensional entangled states. Precisely, there exists a constant 0 < c ≤ 1 such that to succeed with probability 1 - " in the game it is necessary to use an entangled state of at least W("-c) qubits, and it is sufficient to use a state of at most O("-1) qubits. The game is based on the coherent state exchange game of Leung et al. (CJTCS 2013). In our game, the task of the quantum verifier is delegated to a third player by a classical referee. Our results complement those of Slofstra (arXiv:1703.08618) and Dykema et al. (arXiv:1709.05032), who obtained twoplayer games with similar (though quantitatively weaker) properties based on the representation theory of finitely presented groups and C*-algebras respectively.

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http://hdl.handle.net/10453/145089