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Z. Naturforsch. 66a, 615 – 619
(2011)
doi:10.5560/ZNA.2011-0025
N-tangle, Entangled Orthonormal Basis, and a Hierarchy of Spin Hamilton Operators
International School for Scientific Computing, University of Johannesburg, Auckland Park 2006, South Africa
Received April 30, 2010 / revised June 29, 2011
Reprint requests to: W.-H. S.; E-mail:
steebwilli@gmail.com
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.
Key words: Entanglement; Spin Hamilton Operators; Orthonormal Basis; Cosine–Sine Decomposition.