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Quantifying information extraction using generalized quantum measurements

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Title
Quantifying information extraction using generalized quantum measurements
Author(s)
Dominik Šafránek; Juzar Thingna
Publication Date
2023-09
Journal
Physical Review A, v.108, no.3
Publisher
American Physical Society
Abstract
Observational entropy is interpreted as the uncertainty an observer making measurements associates with a system. So far, properties that make such an interpretation possible rely on the assumption of ideal projective measurements. We show that the same properties hold even when considering generalized measurements. Thus, the interpretation still holds: Observational entropy is a well-defined quantifier determining how influential a given series of measurements is in information extraction. This generalized framework allows for the study of the performance of indirect measurement schemes, which are those using a probe. Using this framework, we first analyze the limitations of a finite-dimensional probe. Then we study several scenarios of the von Neumann measurement scheme, in which the probe is a classical particle characterized by its position. Finally, we discuss observational entropy as a tool for quantum-state inference. Further developed, this framework could find applications in quantum information processing. For example, it could help in determining the best read-out procedures from quantum memories and providing adaptive measurement strategies alternative to quantum-state tomography. © 2023 American Physical Society.
URI
https://pr.ibs.re.kr/handle/8788114/14163
DOI
10.1103/PhysRevA.108.032413
ISSN
2469-9926
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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