Exponential formulae in quantum stochastic calculus

DOI10.1017/S0308210500022794zbMath0846.60097MaRDI QIDQ4879066

Alexandr S. Holevo

Publication date: 8 September 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

matrix representationBoson and Fermion stochastic calculiquantum linear stochastic differential equations

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Quantum stochastic calculus (81S25)

Related Items (7)

Strong convergence of quantum random walks via semigroup decomposition ⋮ Moment Dynamics and Observer Design for a Class of Quasilinear Quantum Stochastic Systems ⋮ Symmetric form of the Hudson-Parthasarathy stochastic equation ⋮ Algebraic theory of product integrals in quantum stochastic calculus ⋮ Multi-point Gaussian states, quadratic-exponential cost functionals, and large deviations estimates for linear quantum stochastic systems ⋮ Quantum Stochastic Differential Equation is Unitarily Equivalent to a Symmetric Boundary Value Problem in Fock Space ⋮ Discrete approximation of quantum stochastic models

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Fermion Ito's formula and stochastic evolutions
• Unification of Fermion and Boson stochastic calculus
• [https://portal.mardi4nfdi.de/wiki/Publication:4121258 Stabilit� des solutions des �quations diff�rentielles stochastiques application aux int�grales multiplicatives stochastiques]

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