Flows of quantum noise

• Autorzy: Hudson R. L. , Lindsay J. M. , Parthasarathy K. R.
• Języki publikacji: EN

Abstrakty

EN

The dynamics of classical and quantum systems in the presence of noise is usually described in the language of stochastic differential equations. When the system observables comprise a C*-algebra, stochastic evolutions are obtained by solving such equations driven by creation, preservation and annihilation processes on Fock space, with linear maps on the algebra as coefficients.*-Homomorphic evolutions are obtained precisely when the collection of maps has a certain structure; this structure admits a cohomological description. Here we consider equations governing the joint evolution of the system and noise (from input to output) by supposing that the characteristics of the (input) noise processes are given by a group representation. The structure required for *-homomorphic evolution is determined.

Słowa kluczowe

EN

quantum stochastic; quantum filtering; quantum measurement; input noise; multiple quantum Wiener integral

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 1998
• Tom: Vol. 4, nr 2
• Strony: 143--160
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Hudson R. L.

autor

Lindsay J. M.

autor

Parthasarathy K. R.

• Mathematics Department University of Nottingham Nottingham NG7 2RD, UK,