
TL;DR
This paper extends the concept of quantum bits to a supersymmetric framework, generalizing entanglement measures and state classifications using supergroups, which could deepen understanding of quantum entanglement in supersymmetric theories.
Contribution
It introduces a supersymmetric generalization of n quantum bits, extending entanglement groups and measures to supergroups, and characterizes super-GHZ states via superhyperdeterminants.
Findings
Super-GHZ states characterized by superhyperdeterminant.
Extension of entanglement measures to supersymmetric case.
Supergroup generalizations of local operations and entanglement groups.
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 and . In particular, super-Greenberger-Horne-Zeilinger states are characterized by a nonvanishing superhyperdeterminant.
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