Quantum bounds on multiplayer linear games and device-independent witness of genuine tripartite entanglement
Gláucia Murta , Ravishankar Ramanathan , Natalia Móller , Marcelo Terra Cunha
AbstractHere 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.
|Journal series||Physical Review A, ISSN 1050-2947, (A 35 pkt)|
|Publication size in sheets||0.55|
|Score|| = 35.0, 29-12-2017, ArticleFromJournal|
= 35.0, 29-12-2017, ArticleFromJournal
|Publication indicators||: 2016 = 2.925 (2) - 2016=2.716 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.