Results 11 to 20 of about 139,484 (301)
State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems [PDF]
Journal of the Franklin Institute, 2022 This paper is concerned with infinite-horizon growth rates of quadratic-exponential functionals (QEFs) for linear quantum stochastic systems driven by multichannel bosonic fields.
I. Vladimirov, I. Petersen
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Stochastic Approximation of Variational Quantum Imaginary Time Evolution [PDF]
International Conference on Quantum Computing and Engineering, 2023 The imaginary-time evolution of quantum states is integral to various fields, ranging from natural sciences to classical optimization or machine learning. Since simulating quantum imaginary-time evolution generally requires storing an exponentially large
Julien Gacon +3 more
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Quantum stochastic integrals as belated integrals [PDF]
Glasgow Mathematical Journal, 1992 Quantum stochastic integrals have been constructed in various contexts [2, 3, 4, 5, 9] by adapting the construction of the classical L2-Itô-integral with respect to Brownian motion. Thus, the integral is first defined for simple integrands as a finite sum, then one establishes certain isometry relations or suitable bounds to allow the extension, by ...
Barnett, Chris +2 more
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Connecting Two Stochastic Theories That Lead to Quantum Mechanics
Frontiers in Physics, 2020 The connection is established between two theories that have developed independently with the aim to describe quantum mechanics as a stochastic process, namely stochastic quantum mechanics (sqm) and stochastic electrodynamics (sed).
Luis de la Peña +2 more
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Time-Slicing Path-integral in Curved Space [PDF]
Quantum, 2022 Path integrals constitute powerful representations for both quantum and stochastic dynamics. Yet despite many decades of intensive studies, there is no consensus on how to formulate them for dynamics in curved space, or how to make them covariant with ...
Mingnan Ding, Xiangjun Xing
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Time evolution with symmetric stochastic action
Physical Review Research, 2021 The time evolution of quantum fields is shown to be equivalent to a time-symmetric Fokker-Planck equation. Results are obtained using a Q-function representation, including fermion-fermion, boson-boson, and fermion-boson interactions with linear ...
Peter D. Drummond
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The weak field limit of quantum matter back-reacting on classical spacetime
Journal of High Energy Physics, 2023 Consistent coupling of quantum and classical degrees of freedom exists so long as there is both diffusion of the classical degrees of freedom and decoherence of the quantum system.
Isaac Layton +3 more
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Probability Calculations Within Stochastic Electrodynamics
Frontiers in Physics, 2021 Several stochastic situations in stochastic electrodynamics (SED) are analytically calculated from first principles. These situations include probability density functions, as well as correlation functions at multiple points of time and space, for the ...
Daniel C. Cole
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Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes
AIMS Mathematics, 2021 In this paper, we introduce the notions of $ q $-mean square integral for stochastic processes and co-ordinated stochastic processes. Furthermore, we establish some new quantum Hermite-Hadamard type inequalities for convex stochastic processes and co ...
T. Sitthiwirattham +3 more
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