Quantum bounds on multiplayer linear games and device-independent witness of genuine tripartite entanglement

Gláucia Murta , Ravishankar Ramanathan , Natalia Móller , Marcelo Terra Cunha

Abstract

Here we study multiplayer linear games, a natural generalization of XOR games to multiple outcomes. We generalize a recently proposed efficiently computable bound, in terms of the norm of a game matrix, on the quantum value of two-player games to linear games with n players. As an example, we bound the quantum value of a generalization of the well-known CHSH game to n players and d outcomes. We also apply the bound to show in a simple manner that any nontrivial functional box, that could lead to trivialization of communication complexity in a multiparty scenario, cannot be realized in quantum mechanics. We then present a systematic method to derive device-independent witnesses of genuine tripartite entanglement.
Author Gláucia Murta
Gláucia Murta,,
-
, Ravishankar Ramanathan IFTiA
Ravishankar Ramanathan,,
- Institute of Theoretical Physics and Astrophysics
, Natalia Móller
Natalia Móller,,
-
, Marcelo Terra Cunha
Marcelo Terra Cunha,,
-
Journal seriesPhysical Review A, ISSN 1050-2947
Issue year2016
Vol93
No2
Pages1-12
Publication size in sheets0.55
DOIDOI:10.1103/PhysRevA.93.022305
URL http://journals.aps.org/pra/pdf/10.1103/PhysRevA.93.022305
Languageen angielski
Score (nominal)35
ScoreMinisterial score = 35.0, 29-12-2017, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 29-12-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 2.925 (2) - 2016=2.716 (5)
Citation count*0
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