Classification of four-qubit states by means of a stochastic local operation and the classical communication invariant and semi-invariants

Dafa Li, Xiangrong Li, Hongtao Huang, and Xinxin Li
Phys. Rev. A 76, 052311 – Published 15 November 2007
PDFHTMLExport Citation
Abstract
Authors
Article Text
  • INTRODUCTION
  • SLOCC INVARIANT AND SEMI-INVARIANTS
  • INVARIANT AND SEMI-INVARIANTS FOR SLOCC…
  • AT LEAST 28 DISTINCT TRUE ENTANGLEMENT…
  • SEMI-INVARIANTS OF n QUBITS
  • SUMMARY
  • ACKNOWLEDGEMENTS
  • APPENDICES
    • References

    Abstract

    We show there are at least 28 distinct true stochastic local operations and classical communication (SLOCC) entanglement classes for four qubits by means of SLOCC invariant and semi-invariants and derive the number of degenerate SLOCC classes for n qubits.

    • Received 3 August 2007

    DOI:https://doi.org/10.1103/PhysRevA.76.052311

    ©2007 American Physical Society

    Authors & Affiliations

    Dafa Li1,*, Xiangrong Li2, Hongtao Huang3, and Xinxin Li4

    • 1Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
    • 2Department of Mathematics, University of California, Irvine, California 92697-3875, USA
    • 3Electrical Engineering and Computer Science Department, University of Michigan, Ann Arbor, Michigan 48109, USA
    • 4Department of Computer Science, Wayne State University, Detroit, Michigan 48202, USA

    • *dli@math.tsinghua.edu.cn

    Article Text (Subscription Required)

    Click to Expand

    References (Subscription Required)

    Click to Expand
    Issue

    Vol. 76, Iss. 5 — November 2007

    Reuse & Permissions
    Access Options
    Author publication services for translation and copyediting assistance advertisement

    Authorization Required

    Log In
    Other Options
    ×

    Download & Share

    PDFExportReuse & PermissionsCiting Articles (29)
    ×

    Images

    ×

    Sign up to receive regular email alerts from Physical Review A

    Log In

    Cancel
    ×

    Search

    Article Lookup

    Paste a citation or DOI
    Enter a citation
    ×