TY - JOUR

T1 - Geometric model of quantum navigation during (anti-)search on a plane

AU - Rostom, A. M.

AU - Tomilin, V. A.

AU - Il'ichov, L. V.

PY - 2024/7/15

Y1 - 2024/7/15

N2 - A model of joint random walk of two agents in an infinite plane is considered. The agents possess no means of mutual classical communication, but have access to quantum-entanglement resources which are used according to a pre-arranged protocol. The trajectories of the agents diverge on average, but the rate of divergence might be slowed down or speeded up (compared to ordinary random walk) depending on the details of the protocol. This effect has purely quantum nature and can be interpreted in terms of spherical or hyperbolic geometries for slowdown or speedup, respectively.

AB - A model of joint random walk of two agents in an infinite plane is considered. The agents possess no means of mutual classical communication, but have access to quantum-entanglement resources which are used according to a pre-arranged protocol. The trajectories of the agents diverge on average, but the rate of divergence might be slowed down or speeded up (compared to ordinary random walk) depending on the details of the protocol. This effect has purely quantum nature and can be interpreted in terms of spherical or hyperbolic geometries for slowdown or speedup, respectively.

KW - Quantum correlations

KW - Quantum entanglement

KW - Quantum random walks

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85198332570&origin=inward&txGid=ea45d6d966b93c4d70909f0933a9ab5b

UR - https://www.mendeley.com/catalogue/035a1bda-85cc-370b-bf0f-a99b8e506190/

U2 - 10.1016/j.cjph.2024.07.005

DO - 10.1016/j.cjph.2024.07.005

M3 - Article

VL - 90

SP - 1095

EP - 1100

JO - Chinese Journal of Physics

JF - Chinese Journal of Physics

SN - 0577-9073

ER -