Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2024, Volume 324, Pages 132–143
DOI: https://doi.org/10.4213/tm4374 (Mi tm4374) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Structure of Postselective Transformations of Quantum States

D. A. Kronberg

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (248 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4374
Abstract: We study the properties of postselective transformations of quantum states, that is, transformations for which some classical results are declared “successful” while the rest are discarded. We demonstrate that for every postselective transformation there exists a distinguished orthonormal basis for which the transformation reduces to probabilistic blocking of the basis states followed by a deterministic transformation. We also describe a generalization of an arbitrary postselective transformation that corresponds to its partial version with a given success probability.
Keywords: quantum postselective transformations, quantum instrument, quantum information.
Funding agency Grant number
Russian Science Foundation 20-71-10072
This work was supported by the Russian Science Foundation under grant no. 20-71-10072, https://rscf.ru/en/project/20-71-10072/.
Received: August 21, 2023
Revised: September 11, 2023
Accepted: September 14, 2023
Published: 15.05.2024
English version:
Proceedings of the Steklov Institute of Mathematics, 2024, Volume 324, Pages 123–134
DOI: https://doi.org/10.1134/S0081543824010139
Bibliographic databases:
Document Type: Article
UDC: 519.248+519.72
Language: Russian
Citation: D. A. Kronberg, “On the Structure of Postselective Transformations of Quantum States”, Noncommutative Analysis and Quantum Information Theory, Collected papers. Dedicated to Academician Alexander Semenovich Holevo on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 324, Steklov Math. Inst., Moscow, 2024, 132–143; Proc. Steklov Inst. Math., 324 (2024), 123–134
Citation in format AMSBIB
\Bibitem{Kro24}
\by D.~A.~Kronberg
\paper On the Structure of Postselective Transformations of Quantum States
\inbook Noncommutative Analysis and Quantum Information Theory
\bookinfo Collected papers. Dedicated to Academician Alexander Semenovich Holevo on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2024
\vol 324
\pages 132--143
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4374}
\crossref{https://doi.org/10.4213/tm4374}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4767954}
\zmath{https://zbmath.org/?q=an:07881432}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2024
\vol 324
\pages 123--134
\crossref{https://doi.org/10.1134/S0081543824010139}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85198116017}
Linking options:
  • https://www.mathnet.ru/eng/tm4374
  • https://doi.org/10.4213/tm4374
  • https://www.mathnet.ru/eng/tm/v324/p132
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025