Uncertainty characteristics of generalized quantum measurements

Physical Review A. Atomic, Molecular, and Optical Physics Volume 67 Issue 2 Page 022106-1-022106-7 published_at 2003-02-13
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Title ( eng )
Uncertainty characteristics of generalized quantum measurements
Creator
Source Title
Physical Review A. Atomic, Molecular, and Optical Physics
Volume 67
Issue 2
Start Page 022106-1
End Page 022106-7
Abstract
The effects of any quantum measurement can be described by a collection of measurement operators {Mˆ m} acting on the quantum state of the measured system. However, the Hilbert space formalism tends to obscure the relationship between the measurement results and the physical properties of the measured system. In this paper, a characterization of measurement operators in terms of measurement resolution and disturbance is developed. It is then possible to formulate uncertainty relations for the measurement process that are valid for arbitrary input states. The motivation of these concepts is explained from a quantum communication viewpoint. It is shown that the intuitive interpretation of uncertainty as a relation between measurement resolution and disturbance provides a valid description of measurement back action. Possible applications to quantum cryptography, quantum cloning, and teleportation are discussed.
Language
eng
Resource Type journal article
Publisher
American Physical Society
Date of Issued 2003-02-13
Rights
Copyright (c) 2003 American Physical Society.
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 1094-1622
[DOI] 10.1103/PhysRevA.67.022106
[NCID] AA10764867
[DOI] http://dx.doi.org/10.1103/PhysRevA.67.022106