Results 21 to 30 of about 12,383,450 (356)
On the form factor for the unitary group [PDF]
Journal of Mathematical Physics, 2004 We study the combinatorics of the contributions to the form factor of the group U(N) in the large N limit. This relates to questions about semiclassical contributions to the form factor of quantum systems described by the unitary ensemble.
DEGLI ESPOSTI, MIRKO, A. Knauf
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On the cohomology of compact unitary group Shimura varieties at ramified split places [PDF]
, 2011 In this article, we prove results about the cohomology of compact unitary group Shimura varieties at split places. In nonendoscopic cases, we are able to give a full description of the cohomology, after restricting to integral Hecke operators at p on the
P. Scholze, S. Shin
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Automatic continuity for the unitary group [PDF]
, 2011 We show that every homomorphism from the infinite-dimensional unitary or orthogonal group to a separable group is continuous.
T. Tsankov
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Unitary groups and commutators [PDF]
Proceedings of the American Mathematical Society, 1972 If H is a possibly unbounded selfadjoint operator and A is a closed operator in a Hilbert space, the relation ( U t − 1 A U t f ) ′ = i U t
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On Shimura varieties for unitary groups [PDF]
Pure and Applied Mathematics Quarterly, 2021 This is a largely expository article based on our previous work on arithmetic diagonal cycles on unitary Shimura varieties. We define a class of Shimura varieties closely related to unitary groups which represent a moduli problem of abelian varieties with additional structure, and which admit interesting algebraic cycles.
Rapoport, M, Smithling, B, Zhang, W
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Units in $F_{2^k}D_{2n}$ [PDF]
International Journal of Group Theory, 2014 Let $F_q D_{2n}$ be the group algebra of $D_{2n}$, the dihedral group of order $2n$ over $F_q=GF(q)$. In this paper, we establish the structure of $U(F_{2^k}D_{2n})$, the unit group of $F_{2^k}D_{2n}$ and that of its normalized unitary subgroup $V_*(F_{2^
Neha Makhijani +2 more
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Braiding quantum gates from partition algebras [PDF]
Quantum, 2020 Unitary braiding operators can be used as robust entangling quantum gates. We introduce a solution-generating technique to solve the $(d,m,l)$-generalized Yang-Baxter equation, for $m/2\leq l \leq m$, which allows to systematically construct such ...
Pramod Padmanabhan +2 more
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Covariant catalysis requires correlations and good quantum reference frames degrade little [PDF]
Quantum, 2023 Catalysts are quantum systems that open up dynamical pathways between quantum states which are otherwise inaccessible under a given set of operational restrictions while, at the same time, they do not change their quantum state.
Lauritz van Luijk +2 more
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Rate of convergence of linear functions on the unitary group [PDF]
, 2010 We study the rate of convergence to a normal random variable of the real and imaginary parts of , where U is an N × N random unitary matrix and AN is a deterministic complex matrix.
Jon P Keating, F. Mezzadri, B. Singphu
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Unitary Easy Quantum Groups: the free case and the group case [PDF]
, 2015 Easy quantum groups have been studied intensively since the time they were introduced by Banica and Speicher in 2009. They arise as a subclass of ($C^*$-algebraic) compact matrix quantum groups in the sense of Woronowicz.
Pierre Tarrago, Moritz Weber
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