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Nanophotonics, Volume 14, Issue 23, Page 3761-3793, 02 November 2025.Abstract Photonic device development (PDD) has achieved remarkable success in designing and implementing new devices for controlling light across various wavelengths, scales, and applications, including telecommunications, imaging, sensing, and quantum information processing.
Yuheng Chen +18 more
wiley +1 more source
On continuity of measurable group representations and homomorphisms [PDF]
, 2015 Let G be a locally compact group, and let U be its unitary representation on a Hilbert space H. Endow the space L(H) of linear bounded operators on H with weak operator topology. We prove that if U is a measurable map from G to L(H) then it is continuous.
Kuznetsova, Yulia
core
Commutator criteria for strong mixing II. More general and simpler
, 2015 8 pagesWe present a new criterion, based on commutator methods, for the strong mixing property of unitary representations of topological groups equipped with a proper length function.
Richard, Serge, Tiedra De Aldecoa, R
core +2 more sources
On sufficient density conditions for lattice orbits of relative discrete series. [PDF]
Arch Math, 2022 Enstad U, van Velthoven JT.
europepmc +1 more source
, 2016 A representation $\pi$ of a locally compact group $G$ is called \e{trace class}, if for every test function $f$ the induced operator $\pi(f)$ is a trace class operator. The group $G$ is called \e{trace class}, if every $\pi\in G$ is trace class.
Deitmar, Anton, van Dijk, Gerrit
core
On Geometry of p-Adic Coherent States and Mutually Unbiased Bases. [PDF]
Entropy (Basel), 2023 Zelenov E.
europepmc +1 more source
Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates. [PDF]
Commun Math Phys, 2023 Haferkamp J +5 more
europepmc +1 more source
Graded hypoellipticity of BGG sequences. [PDF]
Ann Glob Anal Geom (Dordr), 2022 Dave S, Haller S.
europepmc +1 more source
K-Theory for Semigroup C*-Algebras and Partial Crossed Products. [PDF]
Commun Math Phys, 2022 Li X.
europepmc +1 more source
Quantum simulation of lattice gauge theories in more than one space dimension-requirements, challenges and methods. [PDF]
Philos Trans A Math Phys Eng Sci, 2022 Zohar E.
europepmc +1 more source