Results 61 to 70 of about 377,813 (234)
SIC-POVMs and the Extended Clifford Group
, 2004 We describe the structure of the extended Clifford Group (defined to be the group consisting of all operators, unitary and anti-unitary, which normalize the generalized Pauli group (or Weyl-Heisenberg group as it is often called)).
Berndt R. +9 more
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Enlargement of Symmetry Groups in Physics: A Practitioner’s Guide
UniverseWigner’s classification has led to the insight that projective unitary representations play a prominent role in quantum mechanics. The physics literature often states that the theory of projective unitary representations can be reduced to the theory of ...
Lehel Csillag +2 more
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Exponential type vectors in Wiener algebras on a Banach ball [PDF]
Opuscula Mathematica, 2008 We consider Wiener type algebras on an open Banach ball. In particular, we prove that such algebras consist of functions analytic in this ball. We also consider a property of one-parameter groups generated by an isometric group acting on a Banach ball ...
Adam Bednarz
doaj
Unitary Condition, Group Delay and Quality Factor in Microwave Filters
IEEE Journal of MicrowavesIn this paper, the unitary condition of scattering parameters for lossless and lossy filters is investigated. The primary objective is to establish a mathematical framework that explains the limitations observed in filter amplitude response sharpness at ...
Ali Kheirdoost +3 more
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Unitary Representations of Oligomorphic Groups [PDF]
Geometric and Functional Analysis, 2012 Removed the requirement that an oligomorphic group be closed in Definition 1.2 in order to render Theorem 2.4 correct.
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SciPost Physics Lecture NotesWe revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group.
José Miguel Figueroa-O'Farrill, Simon Pekar, Alfredo Pérez, Stefan Prohazka
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An efficient high dimensional quantum Schur transform [PDF]
Quantum, 2019 The Schur transform is a unitary operator that block diagonalizes the action of the symmetric and unitary groups on an $n$ fold tensor product $V^{\otimes n}$ of a vector space $V$ of dimension $d$.
Hari Krovi
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Representations of Anisotropic Unitary Groups [PDF]
Transactions of the American Mathematical Society, 1988 Let S U ( f ) SU(f) be the special unitary group of an anisotropic hermitian form f f over a field k k . Assume f f represents only one norm class in k k . The representations α : S U
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Design of fully diverse multiple-antenna codes based on Sp(2) [PDF]
, 2003 Fully diverse constellations, i.e., sets of unitary matrices whose pairwise differences are nonsingular, are useful in multiple-antenna communications, especially in multiple-antenna differential modulation, since they have good pairwise error properties.
Hassibi, Babak, Jing, Yindi
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Invariant integration over the unitary group [PDF]
Journal of Mathematical Physics, 2003 Integrals for the product of unitary-matrix elements over the U(n) group will be discussed. A group-theoretical formula is available to convert them into a multiple sum, but unfortunately the sums are often tedious to compute. In this article, we develop an alternative method in which these sums are avoided, and group theory is rendered unnecessary ...
Aubert, S., Lam, C. S.
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