IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v4y2016i2p36-d71226.html
   My bibliography  Save this article

SIC-POVMs and Compatibility among Quantum States

Author

Listed:
  • Blake C. Stacey

    (Physics Department, University of Massachusetts Boston, 100 Morrissey Boulevard, Boston, MA 02125, USA)

Abstract

An unexpected connection exists between compatibility criteria for quantum states and Symmetric Informationally Complete quantum measurements (SIC-POVMs). Beginning with Caves, Fuchs and Schack’s "Conditions for compatibility of quantum state assignments", I show that a qutrit SIC-POVM studied in other contexts enjoys additional interesting properties. Compatibility criteria provide a new way to understand the relationship between SIC-POVMs and mutually unbiased bases, as calculations in the SIC representation of quantum states make clear. This, in turn, illuminates the resources necessary for magic-state quantum computation, and why hidden-variable models fail to capture the vitality of quantum mechanics.

Suggested Citation

  • Blake C. Stacey, 2016. "SIC-POVMs and Compatibility among Quantum States," Mathematics, MDPI, vol. 4(2), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:2:p:36-:d:71226
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/4/2/36/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/4/2/36/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:4:y:2016:i:2:p:36-:d:71226. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.