Work

On the power of quantum entanglement in multipartite quantum XOR games

Year: 2024

Type: article

Abstract: We show that, given , there exist ‐player quantum XOR games for which the entangled bias can be arbitrarily larger than the bias of the game when the players are restricted to separable strategies. In particular, quantum entanglement can be a much more powerful resource than local operations and classical communication to play these games. This result shows a strong contrast to the bipartite case, where it was recently proved that, as a consequence of a noncommutative version of Grothendieck theorem, the entangled bias is always upper bounded by a universal constant times the one‐way classical communication bias. In this sense, our main result can be understood as a counterexample to an extension of such a noncommutative Grothendieck theorem to multilinear forms.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70009

Authors: Marius Junge, Carlos Palazuelos

Institutions: University of Illinois Urbana-Champaign, Universidad Complutense de Madrid, Institute of Mathematical Sciences

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780