https://doi.org/10.1140/epjp/s13360-022-03374-3
Regular Article
Tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements
1
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
Received:
1
April
2022
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.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
