Quantum Stochastic Lie–Trotter Product Formula II
نویسندگان
چکیده
منابع مشابه
A Quantum Stochastic Lie-trotter Product Formula
A Trotter product formula is established for unitary quantum stochastic processes governed by quantum stochastic differential equations with constant bounded coefficients.
متن کاملQuantum Stochastic Convolution Cocycles Ii
Schürmann’s theory of quantum Lévy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras. Quantum stochastic convolution cocycles on a C-hyperbialgebra, which are Markov-regular, completely positive and contractive, are shown to satisfy coalgebraic quantum stochastic dif...
متن کاملA stochastic double product in non-Fock quantum stochastic calculus
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 stochastic calculus. AMS Subject Classification 81S25.
متن کاملStochastic Quantum Dynamics II. Histories and Consistency
⋆ When probability theory is applied to a sequence of events in time, the sample space consists of what we shall call histories. For example, if a coin is tossed twice in a row, the four histories HH, HT , TH, and TT , where HT stands for “heads on the first toss and tails on the second,” represent mutually exclusive possibilities, one and only one of which will occur in a single experimental r...
متن کاملQuantum Statistical Mechanics. II. Stochastic Schrödinger Equation
The stochastic dissipative Schrödinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the density matrix, which is an explicit, stochastic form of the Lindblad master equation. A quantum fluctuation-dissipation theorem is also derived. The time co...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2018
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnx306