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An Optimal Measurement Strategy to Beat the Quantum Uncertainty in Correlated System
Author(s) -
Li JunLi,
Qiao CongFeng
Publication year - 2020
Publication title -
advanced quantum technologies
Language(s) - English
Resource type - Journals
ISSN - 2511-9044
DOI - 10.1002/qute.202000039
Subject(s) - quantum entanglement , uncertainty principle , observable , entropic uncertainty , quantum , locality , theoretical physics , scalar (mathematics) , statistical physics , measurement uncertainty , quantum system , computer science , quantum operation , quantum mechanics , physics , mathematics , open quantum system , linguistics , philosophy , geometry
Uncertainty principle is an inherent nature of quantum system that undermines the precise measurement of incompatible observables and hence the applications of quantum theory. Entanglement, another unique feature of quantum physics, may help to reduce the quantum uncertainty. In this paper, a practical method is proposed to reduce the one party measurement uncertainty by determining the measurement on the other party of an entangled bipartite system. In light of this method, a family of conditional majorization uncertainty relations in the presence of quantum memory is constructed, which is applicable to arbitrary number of observables. The new family of uncertainty relations implies sophisticated structures of quantum uncertainty and non‐locality, that are usually studied by using scalar measures. Applications to reduce the local uncertainty and to witness quantum non‐locality are also presented.