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Quantum stochastic calculus and quantum nonlinear filtering

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  • Quantum Stochastic Calculus and Quantum Nonlinear Filtering

    سند علمی۱۹۹۲V. P. BELAVKIN

    A ?–algebraic inde nite 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 in nitely dimensional nuclear space. The class of nondemolition output Q

  • Quantum Stochastic Calculus with Maximal Operator Domains1 by Stéphane Attal

    سند علمی۲۰۰۴MARTIN LINDSAY

    Quantum stochastic calculus is extended in a new formulation in which its stochastic integrals achieve their natural and maximal domains. Operator adaptedness, conditional expectations and stochastic integrals are all defined simply in terms of the orthogonal projections of the t

  • Quantum stochastic calculus applied to path spaces over Lie groups

    سند علمی۲۰۱۰Nicolas Privault

    Quantum stochastic calculus is applied to the proof of Skorokhod and Weitzenböck type identities for functionals of a Lie group-valued Brownian motion. In contrast to the case of Rd-valued paths, the computations use all three basic quantum stochastic differentials.

  • A stochastic double product in non-Fock quantum stochastic calculus

    سند علمی۲۰۰۸R L Hudson

    Generalising the previous Fock case, we show that in an extremal universally invariant representation of the canonical commutation relations, a second quantised double product of infinitesimal rotations is a stochastic double product in the corresponding non-Fock quantum stochast

  • Forward and backward adapted quantum stochastic calculus and double product integrals

    سند علمی۲۰۱۴Robin L Hudson

    We show that iterated stochastic integrals can be described equivalently either by the conventional forward adapted, or by backward adapted quantum stochastic calculus. By using this equivalence we establish two properties of triangular (causal) and rectangular double quantum sto

  • Quantum Stochastic Calculus

    سند علمی۱۹۹۳K R Parthasarathy

    Detereministic classical dynamics, reversible quantum dynamics in the Schrr odinger-Heinsenberg pictures and irreversible dynamics of diiusion processes driven by Brownian motion admitìnnnitesimal' or`diierential' descriptions which can be expressed in terms of derivations of * a