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JOURNALS // Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki // Archive

Pis'ma v Zh. Èksper. Teoret. Fiz., 2024 Volume 120, Issue 9, Pages 728–732 (Mi jetpl7368)

NONLINEAR DYNAMICS

Quantum correlations in collective strategies of mutual search/anti-search for three parties

A. M. Rostomab, V. A. Tomilinb, L. V. Il'ichevb

a Novosibirsk State University, 630090, Novosibirsk, Russia
b Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

Abstract: Models of joint random walk strategies for three parties on an infinite plane have been considered. They do not have access to communication, external landmarks, and any information about their mutual position, but can use the resource of three-particle quantum spin entanglement distributed between them within the framework of a pre-agreed protocol. Although the trajectories of the parties diverge on average, the rate of this divergence can be increased or decreased by choosing the details of the protocol.

Received: 29.07.2024
Revised: 24.09.2024
Accepted: 26.09.2024

DOI: 10.31857/S0370274X24110115


 English version:
Journal of Experimental and Theoretical Physics Letters, 2024, 120:9, 700–704


© Steklov Math. Inst. of RAS, 2026