English

Superqubits

Quantum Physics 2010-06-02 v3 High Energy Physics - Theory

Abstract

We provide a supersymmetric generalization of n quantum bits by extending the local operations and classical communication entanglement equivalence group [SU(2)]^n to the supergroup [uOSp(1|2)]^n and the stochastic local operations and classical communication equivalence group [SL(2,C)]^n to the supergroup [OSp(1|2)]^n. We introduce the appropriate supersymmetric generalizations of the conventional entanglement measures for the cases of n=2n=2 and n=3n=3. In particular, super-Greenberger-Horne-Zeilinger states are characterized by a nonvanishing superhyperdeterminant.

Keywords

Cite

@article{arxiv.0908.0706,
  title  = {Superqubits},
  author = {L. Borsten and D. Dahanayake and M. J. Duff and W. Rubens},
  journal= {arXiv preprint arXiv:0908.0706},
  year   = {2010}
}

Comments

16 pages, 4 figures, 4 tables, revtex; minor corrections, version appearing in Phys. Rev. D

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