Year: 2010
Type: article
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 $[SL(2,\mathbb{C}){]}^{n}$ 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.
Authors: L. Borsten, D. Dahanayake, M. J. Duff, W. Rubens
Institution: Imperial College London
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Award: G6941823437
OpenAlex ID: W4255633375