Name
Abstract | ||
|---|---|---|
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 high-dimensional entangled states. Precisely, there exists a constant 0 < c <= 1 such that to succeed with probability 1 - epsilon in the game it is necessary to use an entangled state of at least Omega(epsilon(-c)) qubits, and it is sufficient to use a state of at most O(epsilon(-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 two-player games with similar (though quantitatively weaker) properties based on the representation theory of finitely presented groups and C*-algebras respectively. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.22331/q-2020-10-26-349 | QUANTUM |
DocType | Volume | ISSN |
Journal | 4 | 2521-327X |
Citations | PageRank | References |
1 | 0.38 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhengfeng Ji | 1 | 102 | 11.13 |
| Debbie W. Leung | 2 | 92 | 11.37 |
| Thomas Vidick | 3 | 377 | 31.69 |