MURAL - Maynooth University Research Archive Library



    Metric Structure of the Space of Two-Qubit Gates, Perfect Entanglers and Quantum Control


    Watts, Paul and O'Connor, Maurice and Vala, Jiri (2013) Metric Structure of the Space of Two-Qubit Gates, Perfect Entanglers and Quantum Control. Entropy, 15. pp. 1963-1984. ISSN 1099-4300

    [img] Download (999kB)


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    We derive expressions for the invariant length element and measure for the simple compact Lie group SU(4) in a coordinate system particularly suitable for treating entanglement in quantum information processing. Using this metric, we compute the invariant volume of the space of two-qubit perfect entanglers. We find that this volume corresponds to more than 84% of the total invariant volume of the space of two-qubit gates. This same metric is also used to determine the effective target sizes that selected gates will present in any quantum-control procedure designed to implement them.

    Item Type: Article
    Additional Information: The definitive version of this article is available at doi:10.3390/e15061963 . © 2013 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).
    Keywords: two-qubit systems; metric spaces; Haar measure;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 4503
    Depositing User: Dr. Jiri Vala
    Date Deposited: 18 Sep 2013 15:52
    Journal or Publication Title: Entropy
    Publisher: MDPI
    Refereed: Yes
    URI:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year

    Origin of downloads