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

Henaut, L; Catani, L; Browne, DE; Mansfield, S; Pappa, A; (2018) Tsirelson's bound and Landauer's principle in a single-system game. Physical Review A , 98 (6) , Article 060302. 10.1103/PhysRevA.98.060302. Green open access

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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.

Type: Article
Title: Tsirelson's bound and Landauer's principle in a single-system game
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.98.060302
Publisher version: https://doi.org/10.1103/PhysRevA.98.060302
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: General Physics, Quantum Information
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery.ucl.ac.uk/id/eprint/10066046
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