Bayes' theorem and quantum retrodiction

被引：30

作者：

Barnett, SM ^{[1
]}

Pegg, DT

Jeffers, J

机构：

[1] Univ Strathclyde, Dept Phys & Appl Phys, Glasgow G4 0NG, Lanark, Scotland

[2] Griffith Univ, Fac Sci, Brisbane, Qld 4111, Australia

来源：

JOURNAL OF MODERN OPTICS | 2000年 / 47卷 / 11期

基金：

澳大利亚研究理事会; 英国工程与自然科学研究理事会;

关键词：

D O I：

10.1080/09500340008232431

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We derive on the basis of Bayes' theorem a simple but general expression for the retrodicted premeasurement state associated with the result of any measurement. The retrodictive density operator is the normalized probability operator measure element associated with the result. We examine applications to quantum optical cryptography and to the optical beam splitter.

引用

页码：1779 / 1789

页数：11

共 50 条

[11] Retrodiction for quantum optical communications
Barnett, Stephen M.
Pegg, David T.
Jeffers, John
Jedrkiewicz, Ottavia
Loudon, Rodney
Physical Review A - Atomic, Molecular, and Optical Physics, 2000, 62 (02): : 022313 - 022311
[12] Quantum Cryptography as a Retrodiction Problem
Werner, A. H.
Franz, T.
Werner, R. F.
PHYSICAL REVIEW LETTERS, 2009, 103 (22)
[13] Quantum retrodiction in open systems
Pegg, DT
Barnett, SM
Jeffers, J
PHYSICAL REVIEW A, 2002, 66 (02):
[14] RETRODICTION IN QUANTUM-THEORY
BELINFAN.FJ
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1973, 18 (01): : 144 - 144
[15] Quantum Retrodiction: Foundations and Controversies
Barnett, Stephen M.
Jeffers, John
Pegg, David T.
SYMMETRY-BASEL, 2021, 13 (04):
[16] BAYES THEOREM
NICHOLLS, EM
STARK, AE
MEDICAL JOURNAL OF AUSTRALIA, 1971, 2 (26) : 1335 - &
[17] Bayes' Theorem
Berkson, J
ANNALS OF MATHEMATICAL STATISTICS, 1930, 1 (01): : 42 - 56
[18] Bayes' theorem
Jorge López Puga
Martin Krzywinski
Naomi Altman
Nature Methods, 2015, 12 : 277 - 278
[19] From retrodiction to Bayesian quantum imaging
Speirits, Fiona C.
Sonnleitner, Matthias
Barnett, Stephen M.
JOURNAL OF OPTICS, 2017, 19 (04)
[20] BAYES THEOREM
CORNFIELD, J
REVUE DE L INSTITUT INTERNATIONAL DE STATISTIQUE-REVIEW OF THE INTERNATIONAL STATISTICAL INSTITUTE, 1967, 35 (01): : 34 - +

← 1 2 3 4 5 →