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arXiv · 0908.0706

Superqubits

L. Borsten·D. Dahanayake·M. J. Duff·W. Rubens
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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 $n=2$ and $n=3$. In particular, super-Greenberger-Horne-Zeilinger states are characterized by a nonvanishing superhyperdeterminant.

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L. Borsten, D. Dahanayake, M. J. Duff, W. Rubens. 2010-06-01. Superqubits. https://doi.org/10.1103/physrevd.81.105023

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