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2017 ; 7
(1
): 1066
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Entropic uncertainty relations for Markovian and non-Markovian processes under a
structured bosonic reservoir
#MMPMID28432300
Wang D
; Huang AJ
; Hoehn RD
; Ming F
; Sun WY
; Shi JD
; Ye L
; Kais S
Sci Rep
2017[Apr]; 7
(1
): 1066
PMID28432300
show ga
The uncertainty relation is a fundamental limit in quantum mechanics and is of
great importance to quantum information processing as it relates to quantum
precision measurement. Due to interactions with the surrounding environment, a
quantum system will unavoidably suffer from decoherence. Here, we investigate the
dynamic behaviors of the entropic uncertainty relation of an atom-cavity
interacting system under a bosonic reservoir during the crossover between
Markovian and non-Markovian regimes. Specifically, we explore the dynamic
behavior of the entropic uncertainty relation for a pair of incompatible
observables under the reservoir-induced atomic decay effect both with and without
quantum memory. We find that the uncertainty dramatically depends on both the
atom-cavity and the cavity-reservoir interactions, as well as the correlation
time, ?, of the structured reservoir. Furthermore, we verify that the uncertainty
is anti-correlated with the purity of the state of the observed qubit-system. We
also propose a remarkably simple and efficient way to reduce the uncertainty by
utilizing quantum weak measurement reversal. Therefore our work offers a new
insight into the uncertainty dynamics for multi-component measurements within an
open system, and is thus important for quantum precision measurements.