4.5 Article

Tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements

Journal

EUROPEAN PHYSICAL JOURNAL PLUS
Volume 137, Issue 10, Pages -

Publisher

SPRINGER HEIDELBERG
DOI: 10.1140/epjp/s13360-022-03374-3

Keywords

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Funding

  1. [APVV-18-0518]
  2. [VEGA 2/0161/19]

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In this work, tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements are obtained, with lower bounds depending on the complementarity of observables, conditional von-Neumann entropies, Holevo quantities, and mutual information. The saturation of these inequalities is also analyzed.
Quantum uncertainty relations are typically analyzed for a pair of incompatible observables, however, the concept per se naturally extends to situations of more than two observables. In this work, we obtain tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements and show that the lower bounds of these relations have three terms that depend on the complementarity of the observables, the conditional von-Neumann entropies, the Holevo quantities, and the mutual information. The saturation of these inequalities is analyzed.

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