Problemy Peredachi Informatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Probl. Peredachi Inf.:
Year:
Volume:
Issue:
Page:
Find




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

Problemy Peredachi Informatsii, 1970, Volume 6, Issue 4, Pages 42–48 (Mi ppi1768)  
This article is cited in 2 scientific papers (total in 2 papers)

Quantum Characteristic Functions

A. S. Holevo
Full-text PDF (464 kB) Citations (2)
Abstract: The article is a mathematical investigation of quantum characteristic functions, which have come to be used in photon statistics and the quantum theory of communication. Simple relationships are obtained which make it possible to regard characteristic functions as a kind of “noncommutative” Fourier transformation. They include the “Parseval formula” and the inversion formula which makes it possible to restore the density operator in an arbitrary representation from its characteristic function. The application of the results is illustrated by calculating the generating function for the energy of a system of quantum oscillators.
Received: 13.06.1969
Bibliographic databases:
Document Type: Article
UDC: 519.25:53
Language: Russian
Citation: A. S. Holevo, “Quantum Characteristic Functions”, Probl. Peredachi Inf., 6:4 (1970), 42–48; Problems Inform. Transmission, 6:4 (1970), 316–321
Citation in format AMSBIB
\Bibitem{Hol70}
\by A.~S.~Holevo
\paper Quantum Characteristic Functions
\jour Probl. Peredachi Inf.
\yr 1970
\vol 6
\issue 4
\pages 42--48
\mathnet{http://mi.mathnet.ru/ppi1768}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=311237}
\transl
\jour Problems Inform. Transmission
\yr 1970
\vol 6
\issue 4
\pages 316--321
Linking options:
  • https://www.mathnet.ru/eng/ppi1768
  • https://www.mathnet.ru/eng/ppi/v6/i4/p42
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025