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

نویسندگان

  • Willi-Hans Steeb
  • Yorick Hardy
چکیده

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.

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تاریخ انتشار 2011