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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus / Röpke, Gerd / Steeb, Willi-Hans

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IMPACT FACTOR 2016: 1.432

Cite Score 2016: 1.35

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Source Normalized Impact per Paper (SNIP) 2016: 0.594

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1865-7109
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Volume 66, Issue 10-11 (Nov 2011)

Issues

N-tangle, Entangled Orthonormal Basis, and a Hierarchy of Spin Hamilton Operators

Willi-Hans Steeb
  • Corresponding author
  • International School for Scientific Computing, University of Johannesburg, Auckland Park 2006, South Africa
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/ Yorick Hardy
  • International School for Scientific Computing, University of Johannesburg, Auckland Park 2006, South Africa
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Published Online: 2014-06-02 | DOI: https://doi.org/10.5560/zna.2011-0025

An N-tangle can be defined for the finite dimensional Hilbert space H = C2N , with N = 3 or N even.We give an orthonormal basis which is fully entangled with respect to this measure.We provide a spin Hamilton operator which has this entangled basis as normalized eigenvectors if N is even. From these normalized entangled states a Bell matrix is constructed and the cosine-sine decomposition is calculated. If N is odd the normalized eigenvectors can be entangled or unentangled depending on the parameters.

Keywords: Entanglement; Spin Hamilton Operators; Orthonormal Basis; Cosine-Sine Decomposition

About the article

Received: 2010-04-30

Revised: 2011-06-29

Published Online: 2014-06-02

Published in Print: 2011-11-01


Citation Information: Zeitschrift für Naturforschung A, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.5560/zna.2011-0025.

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© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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