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Indexed by:期刊论文

Date of Publication:2016-09-01

Journal:INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Included Journals:SCIE

Volume:55

Issue:9

Page Number:3943-3953

ISSN No.:0020-7748

Key Words:Uncertainty relation; Measurement-disturbance relation; Disturbance trade-off relation

Abstract:We employ quantum relative entropy to establish the relation between the measurement uncertainty and its disturbance on a state in the presence (and absence) of quantum memory. For two incompatible observables, we present the measurement-disturbance relation and the disturbance trade-off relation. We find that without quantum memory the disturbance induced by the measurement is never less than the measurement uncertainty and with quantum memory they depend on the conditional entropy of the measured state. We also generalize these relations to the case with multiple measurements. These relations are demonstrated by two examples.