Results 1 to 10 of about 13,078,393 (374)
Clifford Group and Unitary Designs under Symmetry [PDF]
PRX Quantum, 2023 We have generalized the well-known statement that the Clifford group is a unitary 3-design into symmetric cases by extending the notion of unitary design.
Yosuke Mitsuhashi, Nobuyuki Yoshioka
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Null infinity and unitary representation of the Poincare group [PDF]
Journal of High Energy Physics, 2019 Following Pasterski-Shao-Strominger we construct a new basis of states in the single-particle Hilbert space of massless particles as a linear combination of standard Wigner states.
Shamik Banerjee
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Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group [PDF]
, 2014 We construct the full p6 order chiral Lagrangians for the unitary group and special unitary groups, including nf-, three- and two-flavor cases, all bilinear currents (scalar, pseudoscalar, vector, axial-vector and tensor currents) and theta parameter ...
Ge, Feng-Jun +2 more
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Unitary Representations of Unitary Groups [PDF]
, 2013 In this paper we review and streamline some results of Kirillov, Olshanski and Pickrell on unitary representations of the unitary group $\U(\cH)$ of a real, complex or quaternionic separable Hilbert space and the subgroup $\U_\infty(\cH)$, consisting of ...
A. A. Kirillov +22 more
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Unitary groups over local rings [PDF]
Journal of Algebra and Its Applications, 2013 Structural properties of unitary groups over local, not necessarily commutative, rings are developed, with applications to the computation of the orders of these groups (when finite) and to the degrees of the irreducible constituents of the Weil ...
Cruickshank, J. +3 more
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The Unitary Group in Its Strong Topology [PDF]
, 2018 The goal of this paper is to confirm that the unitary group U(H) on an infinite dimensional complex Hilbert space is a topological group in its strong topology, and to emphasize the importance of this property for applications in topology. In addition,
Martin Schottenloher
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Unitary channel discrimination beyond group structures: Advantages of sequential and indefinite-causal-order strategies [PDF]
Journal of Mathematics and Physics, 2021 For minimum-error channel discrimination tasks that involve only unitary channels, we show that sequential strategies may outperform the parallel ones.
J. Bavaresco +2 more
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Algebras Generated by Finite Subgroups of Unitary Groups
Journal of Harbin University of Science and Technology, 2021 Group representation theory is one of the most powerful tools to study groups. The unitary group is an important research branch of group theories. We study a class of algebraic structures generated by unitary groups，and we prove that Alg( H) is a von ...
LUO Lai-zhen, LI Xing-hua, TAO Yuan-hong
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Efficient formulation of full configuration interaction quantum Monte Carlo in a spin eigenbasis via the graphical unitary group approach. [PDF]
Journal of Chemical Physics, 2019 We provide a spin-adapted formulation of the Full Configuration Interaction Quantum Monte Carlo (FCIQMC) algorithm, based on the Graphical Unitary Group Approach (GUGA), which enables the exploitation of SU(2) symmetry within this stochastic framework ...
Werner Dobrautz, S. Smart, A. Alavi
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Constructions of Orbit Codes Based on Unitary Spaces Over Finite Fields
IEEE Access, 2021 Orbit codes, as special constant dimension codes, have attracted much attention due to their applications for error correction in random network coding. This paper is devoted to constructing large orbit codes by making full use of unitary space. Firstly,
Shangdi Chen, Qin Xu
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