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.
Original language | English |
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Article number | 105023 |
Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
Volume | 81 |
Issue number | 10 |
DOIs | |
Publication status | Published - 24 May 2010 |