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

7 Citations (Scopus)


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
Issue number12
Publication statusPublished - 1 Dec 2018



  • 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