• Rapid Communication

Tsirelson's bound and Landauer's principle in a single-system game

Luciana Henaut, Lorenzo Catani, Dan E. Browne, Shane Mansfield, and Anna Pappa
Phys. Rev. A 98, 060302(R) – Published 17 December 2018

Abstract

We introduce a simple single-system game inspired by the Clauser-Horne-Shimony-Holt (CHSH) game. For qubit systems subjected to unitary gates and projective measurements, we prove that any strategy in our game can be mapped to a strategy in the CHSH game, which implies that Tsirelson's bound also holds in our setting. More generally, we show that the optimal success probability depends on the reversible or irreversible character of the gates, the quantum or classical nature of the system, and the system dimension. We analyze the bounds obtained in light of Landauer's principle, showing the entropic costs of the erasure associated with the game. This demonstrates a connection between the reversibility in fundamental operations embodied by Landauer's principle and Tsirelson's bound that arises from the restricted physics of a unitarily evolving single-qubit system.

  • Figure
  • Figure
  • Figure
  • Received 15 June 2018

DOI:https://doi.org/10.1103/PhysRevA.98.060302

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Luciana Henaut1,*, Lorenzo Catani1,†, Dan E. Browne1, Shane Mansfield2, and Anna Pappa1

  • 1Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
  • 2Sorbonne Université, CNRS, Laboratoire d'Informatique de Paris 6, F-75005 Paris, France

  • *luciana.henaut.14@ucl.ac.uk
  • lorenzo.catani.14@ucl.ac.uk

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 98, Iss. 6 — December 2018

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×