On superqubits
October 14, 2023 Β· Declared Dead Β· π arXiv.org
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Authors
Steven Duplij, Raimund Vogl
arXiv ID
2310.09635
Category
quant-ph: Quantum Computing
Cross-listed
cs.IT,
hep-th,
math-ph
Citations
2
Venue
arXiv.org
Last Checked
5 months ago
Abstract
We first reconsider the mathematical background of superqubit theory and describe important peculiarities of superspaces and supermatrices which are usually out of attention. Then we study states in super Hilbert spaces using super-bra/super-ket formalism in details. The qubit (qudit) and superqubit (superqudit) are defined as linear spans in the corresponding Hilbert subspaces. A new kind of superqubit carring the odd parity is introduced. The multi-superqubit states are studied, and the superconcurrence which distinguishes separable states is proposed.
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