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Bosonic Continuous Variable Quantum Computing
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The Z2 times Z2-graded Lie superalgebras pso(2n+1|2n) and pso\(infty|infty\), and parastatistics Fock spaces
arXiv
Authors: N. I. Stoilova, J. Van der Jeugt
Year
2021
Paper ID
40285
Status
Preprint
Abstract Read
~2 min
Abstract Words
48
Citations
N/A
Abstract
The parastatistics Fock spaces of order p corresponding to an infinite number of parafermions and parabosons with relative paraboson relations are constructed. The Fock spaces are lowest weight representations of the Z2 times Z2-graded Lie superalgebra pso\(infty|infty\), with a basis consisting of row-stable Gelfand-Zetlin patterns.
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- The parastatistics Fock spaces of order p corresponding to an infinite number of parafermions and parabosons with relative paraboson relations are constructed.
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