From the Equations of Motion to the Canonical Commutation Relations
, 2010 The problem of whether or not the equations of motion of a quantum system determine the commutation relations was posed by E.P.Wigner in 1950. A similar problem (known as "The Inverse Problem in the Calculus of Variations") was posed in a classical ...
Ercolessi, Elisa +2 more
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Curvature of quaternionic skew‐Hermitian manifolds and bundle constructions
Mathematische Nachrichten, Volume 298, Issue 1, Page 87-112, January 2025.Abstract This paper is devoted to a description of the second‐order differential geometry of torsion‐free almost quaternionic skew‐Hermitian manifolds, that is, of quaternionic skew‐Hermitian manifolds (M,Q,ω)$(M, Q, \omega)$. We provide a curvature characterization of such integrable geometric structures, based on the holonomy theory of symplectic ...
Ioannis Chrysikos +2 more
wiley +1 more source
Universality Conjecture for all Airy, Sine and Bessel Kernels in the Complex Plane
, 2012 We address the question of how the celebrated universality of local correlations for the real eigenvalues of Hermitian random matrices of size NxN can be extended to complex eigenvalues in the case of random matrices without symmetry.
Akemann, G., Phillips, M. J.
core
Trotterless Simulation of Open Quantum Systems for NISQ Quantum Devices
Advanced Quantum Technologies, Volume 8, Issue 1, January 2025.Open quantum systems exhibit complex dynamics that can be simulated on quantum computers to provide physical insights into their behavior. This work proposes a new method for simulating these systems that reduces the effect of noise and errors on modern quantum hardware.
Colin Burdine, Enrique P. Blair
wiley +1 more source
Semigroup approach to the sign problem in quantum Monte Carlo simulations
We propose a framework based on the concept of the semigroup to understand the fermion sign problem. By using properties of contraction semigroups, we obtain sufficient conditions for quantum lattice fermion models to be sign-problem-free.
Wei, Zhong-Chao
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Fast gradient algorithm for complex ICA and its application to the MIMO systems. [PDF]
Sci Rep, 2023 Mika D.
europepmc +1 more source
A Size-Dependent Finite Element Method for the 3D Free Vibration Analysis of Functionally Graded Graphene Platelets-Reinforced Composite Cylindrical Microshells Based on the Consistent Couple Stress Theory. [PDF]
Materials (Basel), 2023 Wu CP, Tan TF, Hsu HT.
europepmc +1 more source
Hermitian and Unitary Almost-Companion Matrices of Polynomials on Demand. [PDF]
Entropy (Basel), 2023 Markovich LA, Migliore A, Messina A.
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MagNet: A Neural Network for Directed Graphs. [PDF]
Adv Neural Inf Process Syst, 2021 Zhang X +4 more
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Transitivity and homogeneity of orthosets and inner-product spaces over subfields of R. [PDF]
Geom Dedic, 2022 Vetterlein T.
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