Superqubits

L. Borsten, D. Dahanayake, Michael J. B. Duff, W. Rubens · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 2010

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 $[SL(2,\mathbb{C}){]}^{n}$ to the supergroup $[OSp(1|2){]}^{n}$. We introduce the appropriate supersymmetric generalizations of the conventional entanglement measures for the cases of $n=2$ and $n=3$. In particular, super-Greenberger-Horne-Zeilinger states are characterized by a nonvanishing superhyperdeterminant.

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