Results 1 to 10 of about 4,571 (120)
Profinite Groups with Many Elements of Bounded Order [PDF]
Advances in Group Theory and Applications, 2022 Lévai and Pyber proposed the following as a conjecture: if G is a profinite group such that the set of solutions of the equation x^n = 1 has positive Haar measure, then G has an open subgroup H and an element t such that all elements of the coset tH have
Alireza Abdollahi +1 more
doaj +1 more source
Continuity of the dual Haar measure
Comptes Rendus. Mathématique, 2021 Given a continuous field of locally compact groups, we show that the field of the Plancherel weights of their C*-algebras is lower semi-continuous. As a corollary, we obtain that the dual Haar system of a continuous Haar system of a locally compact ...
Renault, Jean
doaj +1 more source
VARIABLE LEBESGUE ALGEBRA ON A LOCALLY COMPACT GROUP
Проблемы анализа, 2023 For a locally compact group 𝐻 with a left Haar measure, we study the variable Lebesgue algebra L^(p(.))(𝐻) with respect to convolution. We show that if L^(p(.))(𝐻) has a bounded exponent, then it contains a left approximate identity.
P. Saha, B. Hazarika
doaj +1 more source
Random quantum circuits are approximate unitary $t$-designs in depth $O\left(nt^{5+o(1)}\right)$ [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 ...
Jonas Haferkamp
doaj +1 more source
Haar Measure for non-Hausdorff Locally Compact Groups [PDF]
Advances in Group Theory and ApplicationsThe paper describes two possible ways of extending the definition of Haar measure to non-Hausdorff locally compact groups. The first one forces compact sets to be measurable: with this construction, a counterexample to the existence of the Haar measure ...
Lisa Valentini
doaj +1 more source
Observation of entanglement transition of pseudo-random mixed states
Nature Communications, 2023 It has been predicted that entanglement phase diagrams of Haar-measure random states can show interesting phenomenology, including entanglement phase transitions.
Tong Liu +9 more
doaj +1 more source
Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial [PDF]
QuantumThe Haar measure plays a vital role in quantum information, but its study often requires a deep understanding of representation theory, posing a challenge for beginners.
Antonio Anna Mele
doaj +1 more source
Visual Homing Navigation With Haar-Like Features in the Snapshot
IEEE Access, 2018 Visual homing navigation has been a challenging issue in indoor localization and navigation. Inspired by insect navigation, the snapshot model was introduced for homing navigation, where a pair of snapshots at the current location and at the nest are ...
Changmin Lee, Daeeun Kim
doaj +1 more source
New Journal of Physics, 2021 The distribution of entanglement of typical multiparty quantum states is not uniform over the range of the measure utilized for quantifying the entanglement.
George Biswas +2 more
doaj +1 more source
A Generalized Bohr–Jessen Type Theorem for the Epstein Zeta-Function
Mathematics, 2022 Let Q be a positive defined n×n matrix and Q[x̲]=x̲TQx̲. The Epstein zeta-function ζ(s;Q), s=σ+it, is defined, for σ>n2, by the series ζ(s;Q)=∑x̲∈Zn\{0̲}(Q[x̲])−s, and is meromorphically continued on the whole complex plane.
Antanas Laurinčikas, Renata Macaitienė
doaj +1 more source