Results 11 to 20 of about 1,022 (229)

Stochastic path-integral formalism for continuous quantum measurement [PDF]

Physical Review A, 2015
We generalize and extend the stochastic path integral formalism and action principle for continuous quantum measurement introduced in [A. Chantasri, J. Dressel and A. N. Jordan, Phys. Rev. A {\bf 88}, 042110 (2013)], where the optimal dynamics, such as the most-likely paths, are obtained by extremizing the action of the path integral.
Chantasri, Areeya, Jordan, Andrew N.
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Stochastic path integrals can be derived like quantum mechanical path integrals [PDF]

, 2019
Stochastic mechanics---the study of classical stochastic systems governed by things like master equations and Fokker-Planck equations---exhibits striking mathematical parallels to quantum mechanics. In this article, we make those parallels more transparent by presenting a quantum mechanics-like formalism for deriving a path integral description of ...
Vastola, John J., Holmes, William R.
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Integral equation of quantum stochastic process [PDF]

, 2002
To describe stochastic quantum processes I propose an integral equation of Volterra type which is not generally transformable to any differential one. The process is a composition of ordinary quantum evolution which admits presence of a quantum bath and reductions to pure states.
Jerzy Stryla
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Fast quantum algorithms for numerical integrals and stochastic processes

, 1999
We discuss quantum algorithms that calculate numerical integrals and descriptive statistics of stochastic processes. With either of two distinct approaches, one obtains an exponential speed increase in comparison to the fastest known classical deterministic algorithms and a quadratic speed increase in comparison to classical Monte Carlo (probabilistic)
Abrams, Daniel S., Williams, Colin P.
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Robinson-Schensted algorithms and quantum stochastic double product integrals [PDF]

, 2015
This thesis is divided into two parts.\ud \ud In the first part (Chapters 1, 2, 3) various Robinson-Schensted (RS) algorithms are discussed. An introduction to the classical RS algorithm is presented, including the symmetry property, and the result of the algorithm Doob h-transforming the kernel from the Pieri rule of Schur functions h when taking a ...
Yuchen Pei
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Spectral families of quantum stochastic integrals [PDF]

Communications in Mathematical Physics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum stochastic integrals under standing hypotheses

Journal of Mathematical Analysis and Applications, 1987
We study the meaning of stochastic integrals when the integrator is a quantum stochastic process which is not quite a martingale, in that it obeys estimates of the type advocated by \textit{E. J. McShane} [Stochastic calculus and stochastic models. (1974; Zbl 0292.60090)] in the classical case.
Barnett, C, Streater, R.F, Wilde, I.F
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Series of iterated quantum stochastic integrals [PDF]

, 2000
We consider series of iterated non-commutative stochastic integrals of scalar operators on the boson Fock space. We give a sufficient condition for these series to converge and to define a reasonable operator. An application of this criterion gives a condition for the convergence of some formal series of generalized integrator processes such as ...
Stéphane Attal, Robin L. Hudson
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Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense

Partial Differential Equations in Applied Mathematics
This study examines how Stratonovich integrals (SIs) affect the solutions of the Heisenberg ferromagnetic spin chain (HFSC) equation using the modified (G'/G)-expansion (MG'/GE) scheme.
Md. Nur Alam
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Chaotic states and stochastic integration in quantum systems [PDF]

Russian Mathematical Surveys, 1992
Quantum chaotic states over a noncommutative monoid, a unitalization of a noncommutative Ito algebra parametrizing a quantum stochastic Levy process, are described in terms of their infinitely divisible generating functionals over the monoid-valued processes on an atomless `space-time' set.
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