Tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements
RCQI, Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 84511, Bratislava, Slovakia
2 Department of Physics, University of Kurdistan, P.O. Box 66177-15175, Sanandaj, Iran
3 Faculty of Physics, Semnan University, P.O. Box 35195-363, Semnan, Iran
4 Saeed’s Quantum Information Group, P.O. Box 19395-0560, Tehran, Iran
5 Faculty of Physics, Urmia University of Technology, Urmia, Iran
6 School of Physics, Institute for Research in Fundamental Sciences (IPM), 19538, Tehran, Iran
7 Department of Physics, Salman Farsi University of Kazerun, Kazerun, Iran
8 Faculty of Informatics, Masaryk University, Botanická 68a, 60200, Brno, Czech Republic
Accepted: 9 October 2022
Published online: 21 October 2022
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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