Results 1 to 10 of about 12,383,450 (356)
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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Isometries of the unitary group [PDF]
Proceedings of the American Mathematical Society, 2012 . In this paper we describe all surjective isometries of the unitary group of a complex Hilbert space. A result on Thompson isometries of the space of all invertible positive elements of a unital C ∗ -algebra is also presented.
O. Hatori, L. Molnár
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Deformations of polyhedra and polygons by the unitary group [PDF]
Journal of Mathematical Physics, 2013 We introduce the set of framed (convex) polyhedra with N faces as the symplectic quotient C2N// SU (2). A framed polyhedron is then parametrized by N spinors living in C2 satisfying suitable closure constraints and defines a usual convex polyhedron plus ...
Etera R Livine
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Journal of the Mathematical Society of Japan, 2020 Relying on the main results of [Guralnick-Tiep], we classify all unitary $t$-groups for $t \geq 2$ in any dimension $d \geq 2$. We also show that there is essentially a unique unitary $4$-group, which is also a unitary $5$-group, but not a unitary $t$-group for any $t \geq 6$.
Pham Huu Tiep
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Unitary groups and differential operators [PDF]
Proceedings of the American Mathematical Society, 1971 Unitary groups generated by differential operators have special properties that can be used to study completeness of the set of eigenvectors of the infinitesimal generator. Unitary groups also occur in differential operator theory in another manner, associated with unitary equivalence of differential operators. We discuss what happens to
Robert M. Kauffman
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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
Donald G. James
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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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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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Studia Mathematica, 2021 v3 31 pages. Added more information in the introduction and preliminaries. Corrected many typos/inaccuracies. Theorem 4.28 is added.
Yasumichi Matsuzawa, Hiroshi Ando
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Random quantum circuits are approximate unitary t-designs in depth O(nt5+o(1)) [PDF]
Quantum, 2022 The applications of random quantum circuits range from quantum computing and quantum many-body systems to the physics of black holes. Many of these applications are related to the generation of quantum pseudorandomness: Random quantum circuits are known ...
J. Haferkamp
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