منابع مشابه
Quantum 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 کاملCompletely positive quantum stochastic convolution cocycles and their dilations
Stochastic generators of completely positive and contractive quantum stochastic convolution cocycles on a C∗-hyperbialgebra are characterised. The characterisation is used to obtain dilations and stochastic forms of Stinespring decomposition for completely positive convolution cocycles on a C∗-bialgebra. Stochastic (or Markovian) cocycles on operator algebras are basic objects of interest in qu...
متن کاملar X iv : m at h / 06 11 49 7 v 2 [ m at h . O A ] 1 F eb 2 00 8 QUANTUM 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 coalge-bras. Quantum stochastic convolution cocycles on a C *-hyperbialgebra, which are Markov-regular, completely positive and contractive, are shown to satisfy coalgebraic quantum stochastic ...
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: Communications in Mathematical Physics
سال: 2008
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-008-0465-x