Qubit, superqubit and squbit

We analyze recently proposed formalisms which use nilpotent variables to describe and/or generalize qubits and notion of entanglement. There are two types of them distinguished by the commutativity and or anti-commutativity of basics variables. While nilpotent commuting variables suit the new descri...

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Bibliographic Details
Published in:arXiv.org 2012-10
Main Author: Frydryszak, Andrzej M
Format: Article
Language:English
Subjects:
Commutativity
Quantum entanglement
Online Access:Get full text
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Summary:We analyze recently proposed formalisms which use nilpotent variables to describe and/or generalize qubits and notion of entanglement. There are two types of them distinguished by the commutativity and or anti-commutativity of basics variables. While nilpotent commuting variables suit the new description of the qubits and entanglement, the anticommuting do not, but they can be used to describe generalized objects - superqubits. A squbit, in the present context, is a version of superqubit introduced to cure some of problematic properties of the superqubit.
ISSN:2331-8422
DOI:10.48550/arxiv.1210.0922