IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/945460.html
   My bibliography  Save this article

Two Versions of the Projection Postulate: From EPR Argument to One-Way Quantum Computing and Teleportation

Author

Listed:
  • Andrei Khrennikov

Abstract

Nowadays it is practically forgotten that for observables with degenerate spectra the original von Neumann projection postulate differs crucially from the version of the projection postulate which was later formalized by Lüders. The latter (and not that due to von Neumann) plays the crucial role in the basic constructions of quantum information theory. We start this paper with the presentation of the notions related to the projection postulate. Then we remind that the argument of Einstein-Podolsky-Rosen against completeness of QM was based on the version of the projection postulate which is nowadays called Lüders postulate. Then we recall that all basic measurements on composite systems are represented by observables with degenerate spectra. This implies that the difference in the formulation of the projection postulate (due to von Neumann and Lüders) should be taken into account seriously in the analysis of the basic constructions of quantum information theory. This paper is a review devoted to such an analysis.

Suggested Citation

  • Andrei Khrennikov, 2010. "Two Versions of the Projection Postulate: From EPR Argument to One-Way Quantum Computing and Teleportation," Advances in Mathematical Physics, Hindawi, vol. 2010, pages 1-11, January.
    • Handle: RePEc:hin:jnlamp:945460
    DOI: 10.1155/2010/945460
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2010/945460.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2010/945460.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2010/945460?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlamp:945460. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.