Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir

Dong Wang, Ai Jun Huang, Ross Hoehn, Fei Ming, Wen Yang Sun, Jia Dong Shi, Liu Ye, Sabre Kais

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

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, τ, 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.

Original languageEnglish
Article number1066
JournalScientific Reports
Volume7
Issue number1
DOIs
Publication statusPublished - 1 Dec 2017

Fingerprint

cavities
atoms
quantum mechanics
crossovers
purity
interactions
decay

ASJC Scopus subject areas

  • General

Cite this

Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir. / Wang, Dong; Huang, Ai Jun; Hoehn, Ross; Ming, Fei; Sun, Wen Yang; Shi, Jia Dong; Ye, Liu; Kais, Sabre.

In: Scientific Reports, Vol. 7, No. 1, 1066, 01.12.2017.

Research output: Contribution to journalArticle

Wang, Dong ; Huang, Ai Jun ; Hoehn, Ross ; Ming, Fei ; Sun, Wen Yang ; Shi, Jia Dong ; Ye, Liu ; Kais, Sabre. / Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir. In: Scientific Reports. 2017 ; Vol. 7, No. 1.
@article{1eedaa33f48f4359870d6b83a274a7ee,
title = "Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir",
abstract = "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, τ, 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.",
author = "Dong Wang and Huang, {Ai Jun} and Ross Hoehn and Fei Ming and Sun, {Wen Yang} and Shi, {Jia Dong} and Liu Ye and Sabre Kais",
year = "2017",
month = "12",
day = "1",
doi = "10.1038/s41598-017-01094-8",
language = "English",
volume = "7",
journal = "Scientific Reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",
number = "1",

}

TY - JOUR

T1 - Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir

AU - Wang, Dong

AU - Huang, Ai Jun

AU - Hoehn, Ross

AU - Ming, Fei

AU - Sun, Wen Yang

AU - Shi, Jia Dong

AU - Ye, Liu

AU - Kais, Sabre

PY - 2017/12/1

Y1 - 2017/12/1

N2 - 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, τ, 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.

AB - 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, τ, 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.

UR - http://www.scopus.com/inward/record.url?scp=85018183849&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018183849&partnerID=8YFLogxK

U2 - 10.1038/s41598-017-01094-8

DO - 10.1038/s41598-017-01094-8

M3 - Article

VL - 7

JO - Scientific Reports

JF - Scientific Reports

SN - 2045-2322

IS - 1

M1 - 1066

ER -