Survey on nonlocal games and operator space theory

C Palazuelos, T Vidick - Journal of Mathematical Physics, 2016 - pubs.aip.org
This review article is concerned with a recently uncovered connection between operator
spaces, a noncommutative extension of Banach spaces, and quantum nonlocality, a striking …

The set of quantum correlations is not closed

W Slofstra - Forum of Mathematics, Pi, 2019 - cambridge.org
We construct a linear system nonlocal game which can be played perfectly using a limit of
finite-dimensional quantum strategies, but which cannot be played perfectly on any finite …

Tsirelson's problem and an embedding theorem for groups arising from non-local games

W Slofstra - Journal of the American Mathematical Society, 2020 - ams.org
Tsirelson's problem asks whether the commuting operator model for two-party quantum
correlations is equivalent to the tensor-product model. We give a negative answer to this …

Quantum proofs

T Vidick, J Watrous - Foundations and Trends® in Theoretical …, 2016 - nowpublishers.com
Quantum information and computation provide a fascinating twist on the notion of proofs in
computational complexity theory. For instance, one may consider a quantum computational …

Verification of Bell nonlocality by violating quantum monogamy relations

YH Yang, XZ Liu, XZ Zheng, SM Fei, MX Luo - Cell Reports Physical …, 2024 - cell.com
Quantum nonlocality as a witness of entanglement plays a crucial role in various fields.
Existing quantum monogamy relations rule out the possibility of simultaneous violations of …

Complete Characterization of Entanglement Embezzlement

E Zanoni, T Theurer, G Gour - Quantum, 2024 - quantum-journal.org
Using local operations and classical communication (LOCC), entanglement can be
manipulated but not created. However, entanglement can be $ embezzled $. In this work, we …

Universal gaps for XOR games from estimates on tensor norm ratios

G Aubrun, L Lami, C Palazuelos, SJ Szarek… - … in Mathematical Physics, 2020 - Springer
We define and study XOR games in the framework of general probabilistic theories, which
encompasses all physical models whose predictive power obeys minimal requirements. The …

Quantum strategies for rendezvous and domination tasks on graphs with mobile agents

G Viola, P Mironowicz - Physical Review A, 2024 - APS
This paper explores the application of quantum nonlocality, a renowned and unique
phenomenon acknowledged as a valuable resource. Focusing on an alternative application …

Geometry of Banach spaces: a new route towards Position Based Cryptography

M Junge, AM Kubicki, C Palazuelos… - … in Mathematical Physics, 2022 - Springer
In this work we initiate the study of position based quantum cryptography (PBQC) from the
perspective of geometric functional analysis and its connections with quantum games. The …

Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebras

L van Luijk, A Stottmeister, RF Werner… - arXiv preprint arXiv …, 2024 - arxiv.org
We provide a comprehensive treatment of embezzlement of entanglement in the setting of
von Neumann algebras and discuss its relation to the classification of von Neumann …