Probing entropic uncertainty relations under a two-atom system coupled with structured bosonic reservoirs

Dong Wang, Wei Nan Shi, Ross Hoehn, Fei Ming, Wen Yang Sun, Liu Ye, Sabre Kais

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The uncertainty principle imposes constraints on an observer’s ability to make precision measurements for two incompatible observables; thus, uncertainty relations play a key role in quantum precision measurement in the field of quantum information science. Here, our aim is to examine non-Markovian effects on quantum-memory-assisted entropic uncertainty relations in a system consisting of two atoms coupled with structured bosonic reservoirs. Explicitly, we explore the dynamics of the uncertainty relations via entropic measures in non-Markovian regimes when two atomic qubits independently interact with their own infinite degree-of-freedom bosonic reservoir. We show that measurement uncertainty vibrates with periodically increasing amplitude with growing non-Markovianity of the observed system and ultimately saturates toward a fixed value at a long time limit. It is worth noting that there are several appealing conclusions raised by us: First, the uncertainty’s lower bound does not entirely depend on the quantum correlations within the two-qubit system, being affected by an interplay between the quantum discord and the minimal von Neumann conditional entropy Sce. Second, the dynamic characteristic of the measurement uncertainty is considerably distinctive with regard to Markovian and non-Markovian regimes, respectively. Third, the measurement uncertainty is closely correlated with the Bell non-locality B. Moreover, we claim that the entropic uncertainty relation could be a promising tool with which to probe entanglement in current architecture.

Original languageEnglish
Article number335
JournalQuantum Information Processing
Volume17
Issue number12
DOIs
Publication statusPublished - 1 Dec 2018

Fingerprint

Uncertainty Relation
Coupled System
Measurement Uncertainty
Atoms
Qubit
atoms
Vibrate
Conditional Entropy
Uncertainty Principle
Nonlocality
Quantum Information
Dynamic Characteristics
Entanglement
Observer
Probe
bells
Degree of freedom
dynamic characteristics
Lower bound
degrees of freedom

Keywords

  • Entropy
  • Non-Markovianity
  • Quantum memory
  • Uncertainty relation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Theoretical Computer Science
  • Signal Processing
  • Modelling and Simulation
  • Electrical and Electronic Engineering

Cite this

Probing entropic uncertainty relations under a two-atom system coupled with structured bosonic reservoirs. / Wang, Dong; Shi, Wei Nan; Hoehn, Ross; Ming, Fei; Sun, Wen Yang; Ye, Liu; Kais, Sabre.

In: Quantum Information Processing, Vol. 17, No. 12, 335, 01.12.2018.

Research output: Contribution to journalArticle

Wang, Dong ; Shi, Wei Nan ; Hoehn, Ross ; Ming, Fei ; Sun, Wen Yang ; Ye, Liu ; Kais, Sabre. / Probing entropic uncertainty relations under a two-atom system coupled with structured bosonic reservoirs. In: Quantum Information Processing. 2018 ; Vol. 17, No. 12.
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