Branching rules for unitary and symplectic matrices
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DOI: 10.1080/00927872.2020.1726366
Abstract: Abstract This paper concerns the enumeration of simultaneous conjugacy classes of tuples of commuting unitary matrices and of commuting symplectic matrices over a finite field of odd size. For any given conjugacy class, the orbits… read more here.
Keywords: symplectic matrices; conjugacy; branching rules; unitary symplectic ... See more keywords
Evaluation of Hamiltonians from Complex Symplectic Matrices
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DOI: 10.3390/sym15051000
Abstract: Gaussian unitaries play a fundamental role in the field of continuous variables. In the general n mode, they may formulated by a second-order polynomial in the bosonic operators. Another important role related to Gaussian unitaries… read more here.
Keywords: symplectic matrices; hamiltonians complex; complex symplectic; evaluation hamiltonians ... See more keywords