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arXiv · 2103.06963

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

Hazhir Dolatkhah·Saeed Haddadi·Soroush Haseli·Mohammad Reza Pourkarimi·Mario Ziman
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Abstract

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 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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Hazhir Dolatkhah, Saeed Haddadi, Soroush Haseli, Mohammad Reza Pourkarimi, Mario Ziman. 2021-03-11. Tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements. https://doi.org/10.1140/epjp/s13360-022-03374-3

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