Entropic uncertainty relations under the relativistic motion

Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2013) Entropic uncertainty relations under the relativistic motion. Physics Letters B, 726 1-3: 527-532. doi:10.1016/j.physletb.2013.08.069

Author Feng, Jun
Zhang, Yao-Zhong
Gould, Mark D.
Fan, Heng
Title Entropic uncertainty relations under the relativistic motion
Journal name Physics Letters B   Check publisher's open access policy
ISSN 0370-2693
Publication date 2013-10-07
Sub-type Article (original research)
DOI 10.1016/j.physletb.2013.08.069
Open Access Status DOI
Volume 726
Issue 1-3
Start page 527
End page 532
Total pages 6
Editor M. Cvetič
Place of publication Amsterdam, Netherlands
Publisher Elsevier North-Holland
Collection year 2014
Language eng
Formatted abstract
The uncertainty principle bounds our ability to simultaneously predict two incompatible observables of a quantum particle. Assisted by a quantum memory to store the particle, this uncertainty could be reduced and quantified by a new Entropic Uncertainty Relation (EUR). In this Letter, we explore how the relativistic motion of the system would affect the EUR in two sample scenarios. First, we show that the Unruh effect of an accelerating particle would surely increase the uncertainty if the system and particle entangled initially. On the other hand, the entanglement could be generated from nonuniform motion once the Unruh decoherence is prevented by utilizing the cavity. We show that, in a uncertainty game between an inertial cavity and a nonuniformly accelerated one, the uncertainty evolves periodically with respect to the duration of acceleration segment. Therefore, with properly chosen cavity parameters, the uncertainty bound could be protected. Implications of our results for gravitation are also discussed.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
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Citation counts: TR Web of Science Citation Count  Cited 6 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 6 times in Scopus Article | Citations
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Created: Mon, 30 Sep 2013, 09:01:21 EST by Mark Gould on behalf of Mathematics