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

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.

15pages, 3 figures

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• Entropic uncertainty relations with quantum memory in a multipartite scenario
• Tripartite measurement uncertainty in Schwarzschild space-time
• Multipartite entanglement detection based on generalized state-dependent entropic uncertainty relation for multiple measurements
• Identifying the $3$-qubit $W$ state with quantum uncertainty relation