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Topological Quantum Computing
Quantum Simulation
Quantum State Preparation Representation
Entanglement Theory Quantum Correlations
Heisenberg groups and their automorphisms over algebras with central involution
arXiv
Authors: Robert W. Johnson
Year
2015
Paper ID
27741
Status
Preprint
Abstract Read
~2 min
Abstract Words
74
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Abstract
Heisenberg groups over algebras with central involution and their automorphism groups are constructed. The complex quaternion group algebra over a prime field is used as an example. Its subspaces provide finite models for each of the real and complex quadratic spaces with dimension 4 or less. A model for the representations of these Heisenberg groups and automorphism groups is constructed. A pseudo-differential operator enables a parallel treatment of spaces defined over finite and real fields.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- Heisenberg groups over algebras with central involution and their automorphism groups are constructed.
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