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Matematicheskie Zametki, 2013, Volume 93, Issue 3, Pages 323–332
DOI: https://doi.org/10.4213/mzm9085 (Mi mzm9085) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Analogs of Spectral Decomposition of a Quantum State

G. G. Amosovab, V. Zh. Sakbaevab

a Steklov Mathematical Institute, Russian Academy of Sciences
b Moscow Institute of Physics and Technology (State University)
Full-text PDF (500 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm9085
Abstract: The set of quantum states in a Hilbert space is considered. The structure of the set of extreme points of the set of states is investigated and an arbitrary state is represented as the Pettis integral over a finitely additive measure on the set of vector states, which is a generalization of the spectral decomposition of a normal state.
Keywords: quantum state, spectral decomposition, finitely additive measure.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00265
10-01-00395
Ministry of Education and Science of the Russian Federation 2.1.1/11133
2.1.1/12136
Received: 21.03.2011
Revised: 18.06.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 3, Pages 351–359
DOI: https://doi.org/10.1134/S0001434613030012
Bibliographic databases:
Document Type: Article
UDC: 517.946+517.98
Language: Russian
Citation: G. G. Amosov, V. Zh. Sakbaev, “On Analogs of Spectral Decomposition of a Quantum State”, Mat. Zametki, 93:3 (2013), 323–332; Math. Notes, 93:3 (2013), 351–359
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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