Results 11 to 20 of about 22,489 (230)
Quantum stochastic calculus with maximal operator domains
The Annals of Probability, 2004 The purpose of this paper is to introduce a new formulation in quantum stochastic (QS) calculus and to unify the following two existent approaches: one closely related to classical Itô calculus; and the other to noncausal stochastic analysis and Malliavin calculus.
Lindsay, J. Martin, Attal, Stéphane
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Quantum stochastic calculus and quantum nonlinear filtering
Journal of Multivariate Analysis, 1992 A *-algebraic indefinite structure of quantum stochastic (QS) calculus is introduced and a continuity property of generalized nonadapted QS integrals is proved under the natural integrability conditions in an infinitely dimensional nuclear space. The class of nondemolition output QS processes in quantum open systems is characterized in terms of the QS ...
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A representation free quantum stochastic calculus
Journal of Functional Analysis, 1992 The purpose of quantum stochastic calculus is the behaviour of quantum systems driven by the usual interactions of quantum physics, and by a ``quantum noise''. In classical probability, one first studied the Wiener (Brownian) noise and the corresponding stochastic differential equations, then the Poisson noises, then martingale and semimartingale ...
ACCARDI, L. +3 more
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A White noise approach to stochastic calculus [PDF]
During the past 15 years a new technique, called the stochastic limit of quantum theory, has been applied to deduce new, unexpected results in a variety of traditional problems of quantum physics, such as quantum electrodynamics, bosonization in higher
Accardi, L., lu, Y.G., Volovich, I.V.
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The SLH framework for modeling quantum input-output networks
Advances in Physics: X, 2017 Many emerging quantum technologies demand precise engineering and control over networks consisting of quantum mechanical degrees of freedom connected by propagating electromagnetic fields, or quantum input-output networks.
Joshua Combes +2 more
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AIP Advances, 2018 Nonlinearities in finite dimensions can be linearized by projecting them into infinite dimensions. Unfortunately, the familiar linear operator techniques that one would then hope to use often fail since the operators cannot be diagonalized.
Paul M. Riechers, James P. Crutchfield
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Determination of phase noise spectra in optoelectronic microwave oscillators: a Langevin approach [PDF]
, 2008 We introduce a stochastic model for the determination of phase noise in optoelectronic oscillators. After a short overview of the main results for the phase diffusion approach in autonomous oscillators, an extension is proposed for the case of ...
Chembo, Yanne Kouomou +4 more
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Quantum Langevin equations for optomechanical systems
New Journal of Physics, 2015 We provide a fully quantum description of a mechanical oscillator in the presence of thermal environmental noise by means of a quantum Langevin formulation based on quantum stochastic calculus.
Alberto Barchielli, Bassano Vacchini
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Hall's transformation via quantum stochastic calculus [PDF]
Banach Center Publications, 1998 It is well known that Hall’s transformation factorizes into a composition of two isometric maps to and from a certain completion of the dual of the universal enveloping algebra of the Lie algebra of the initial Lie group. In this paper this fact will be demonstrated by exhibiting each of the maps in turn as the composition of two isometries.
Sylvia Pulmannová +3 more
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Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and stochastic calculus and the theory of ...
Luigi Accardi, Andreas Boukas
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