Characterizing mixing and measurement in quantum mechanics

Nielsen, MA (2001) Characterizing mixing and measurement in quantum mechanics. Physical Review A, 63 2: 022114-022111. doi:10.1103/PhysRevA.63.022114

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Author Nielsen, MA
Title Characterizing mixing and measurement in quantum mechanics
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2001
Sub-type Article (original research)
DOI 10.1103/PhysRevA.63.022114
Open Access Status File (Publisher version)
Volume 63
Issue 2
Start page 022114
End page 022111
Total pages 11
Editor Bernd Craseman
Place of publication Collage Park, Maryland, USA
Publisher American Physical Society
Collection year 2001
Language eng
Subject C1
780102 Physical sciences
240201 Theoretical Physics
Abstract What fundamental constraints characterize the relationship between a mixture rho = Sigma (i)p(i)rho (i) of quantum states, the states rho (i) being mixed, and the probabilities p(i)? What fundamental constraints characterize the relationship between prior and posterior states in a quantum measurement? In this paper we show that then are many surprisingly strong constraints on these mixing and measurement processes that can be expressed simply in terms of the eigenvalues of the quantum states involved. These constraints capture in a succinct fashion what it means to say that a quantum measurement acquires information about the system being measured, and considerably simplify the proofs of many results about entanglement transformation.
Keyword Optics
Physics, Atomic, Molecular & Chemical
State Entanglement
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Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 38 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 37 times in Scopus Article | Citations
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Created: Tue, 14 Aug 2007, 15:43:14 EST