Results 21 to 30 of about 2,437,555 (245)
Probability density functions for CP-violating rephasing invariants
Nuclear Physics B, 2018 The implications of the anarchy principle on CP violation in the lepton sector are investigated. A systematic method is introduced to compute the probability density functions for the CP-violating rephasing invariants of the PMNS matrix from the Haar ...
Jean-François Fortin +2 more
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PLoS ONE, 2021 The approximate solution of KdV-type partial differential equations of order seven is presented. The algorithm based on one-dimensional Haar wavelet collocation method is adapted for this purpose.
Sidra Saleem +2 more
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A Generalized Discrete Bohr–Jessen-Type Theorem for the Epstein Zeta-Function
Mathematics, 2023 Suppose that Q is a positive defined n×n matrix, and Q[x̲]=x̲TQx̲ with x̲∈Zn. 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 it has a meromorphic continuation to the whole complex plane. Let
Antanas Laurinčikas, Renata Macaitienė
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Exact distinguishability between real-valued and complex-valued Haar random quantum states [PDF]
QuantumHaar random states are fundamental objects in quantum information theory and quantum computing. We study the density matrix resulting from sampling $t$ copies of a $d$-dimensional quantum state according to the Haar measure on the orthogonal group.
Tristan Nemoz +2 more
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Haar Measure and the Artin Conductor [PDF]
Transactions of the American Mathematical Society, 1999 Let G G be a connected reductive group, defined over a local, non-archimedean field k k . The group G ( k ) G(k) is locally compact and unimodular. In On the motive of a reductive group, Invent. Math. 130 (1997), by B. H. Gross, a Haar measure |
Gross, Benedict H., Gan, Wee Teck
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A modification of Hardy-Littlewood maximal function on Lie groups [PDF]
AUT Journal of Mathematics and ComputingFor a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In this ...
Maysam Maysami Sadr
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On the distribution of the mean energy in the unitary orbit of quantum states [PDF]
Quantum, 2021 Given a closed quantum system, the states that can be reached with a cyclic process are those with the same spectrum as the initial state. Here we prove that, under a very general assumption on the Hamiltonian, the distribution of the mean extractable ...
Raffaele Salvia, Vittorio Giovannetti
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Metric Structure of the Space of Two-Qubit Gates, Perfect Entanglers and Quantum Control
Entropy, 2013 We derive expressions for the invariant length element and measure for the simple compact Lie group SU(4) in a coordinate system particularly suitable for treating entanglement in quantum information processing.
Paul Watts +2 more
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