A. S. Holevo, “Optimal quantum measurements”, TMF, 17:3 (1973), 319–326; Theoret. and Math. Phys., 17:3 (1973), 1172

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Teoreticheskaya i Matematicheskaya Fizika, 1973, Volume 17, Number 3, Pages 319–326 (Mi tmf3951)

This article is cited in 9 scientific papers (total in 9 papers)

Optimal quantum measurements

A. S. Holevo

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Full-text PDF (873 kB) Citations (9)

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Abstract: An optimal compatible measurement, in the sense of the mean-square error, of canonical variables

$p$ and

$q$ is found. It is shown that this measurement is described by an operator-valued measure defined by a family of coherent states. Problems of optimal measurements of the parameters of quasifree states are also considered.

Received: 17.08.1972

English version:
Theoretical and Mathematical Physics, 1973, Volume 17, Issue 3, Pages 1172–1177
DOI: https://doi.org/10.1007/BF01037594

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. S. Holevo, “Optimal quantum measurements”, TMF, 17:3 (1973), 319–326; Theoret. and Math. Phys., 17:3 (1973), 1172–1177

Citation in format AMSBIB

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\by A.~S.~Holevo

\paper Optimal quantum measurements

\jour TMF

\yr 1973

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\issue 3

\pages 319--326

\mathnet{http://mi.mathnet.ru/tmf3951}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468885}

\zmath{https://zbmath.org/?q=an:0289.94001}

\transl

\jour Theoret. and Math. Phys.

\yr 1973

\vol 17

\issue 3

\pages 1172--1177

\crossref{https://doi.org/10.1007/BF01037594}

Linking options:

https://www.mathnet.ru/eng/tmf3951

https://www.mathnet.ru/eng/tmf/v17/i3/p319

This publication is cited in the following 9 articles:

Samriddha Lahiry, Michael Nussbaum, “Minimax estimation of low-rank quantum states and their linear functionals”, Bernoulli, 30:1 (2024)
Hemant K. Mishra, Ludovico Lami, Prabha Mandayam, Mark M. Wilde, “Pretty good measurement for bosonic Gaussian ensembles”, Int. J. Quantum Inform., 22:05 (2024)
Samriddha Lahiry, Michael Nussbaum, “Minimax nonparametric estimation of pure quantum states”, Ann. Statist., 50:1 (2022)
Fernando G.S.L. Brandão, Wissam Chemissany, Nicholas Hunter-Jones, Richard Kueng, John Preskill, “Models of Quantum Complexity Growth”, PRX Quantum, 2:3 (2021)
Claudio Carmeli, Teiko Heinosaari, Alessandro Toigo, “Sequential measurements of conjugate observables”, J. Phys. A: Math. Theor., 44:28 (2011), 285304
H. Primas, U. Müller‐Herold, Advances in Chemical Physics, 38, Advances in Chemical Physics, 1978, 1
H. Yuen, R. Kennedy, M. Lax, “Optimum testing of multiple hypotheses in quantum detection theory”, IEEE Trans. Inform. Theory, 21:2 (1975), 125
A. Holevo, “Some statistical problems for quantum Gaussian states”, IEEE Trans. Inform. Theory, 21:5 (1975), 533
C. Helstrom, “Quantum Bayes estimation of the amplitude of a coherent signal (Corresp.)”, IEEE Trans. Inform. Theory, 20:3 (1974), 374

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	566
Full-text PDF :	167
References:	77
First page:	3

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