Results 1 to 10 of about 163 (23)
An obstruction for q-deformation of the convolution product [PDF]
, 1996 We consider two independent q-Gaussian random variables X and Y and a function f chosen in such a way that f(X) and X have the same distribution. For 0 < q < 1 we find that at least the fourth moments of X + Y and f(X) + Y are different. We conclude that
Maassen, Hans, van Leeuwen, Hans
core +4 more sources
Photoemissive sources and quantum stochastic calculus [PDF]
, 1997 Just at the beginning of quantum stochastic calculus Hudson and Parthasarathy proposed a quantum stochastic Schrodinger equation linked to dilations of quantum dynamical semigroups.
Barchielli, Alberto, Lupieri, Giancarlo
core +2 more sources
A Lévy-Ciesielski expansion for quantum Brownian motion and the construction of quantum Brownian bridges [PDF]
, 2007 We introduce "probabilistic" and "stochastic Hilbertian structures". These seem to be a suitable context for developing a theory of "quantum Gaussian processes". The Schauder system is utilised to give a Lévy-Ciesielski representation of quantum (bosonic)
Accardi L. +9 more
core +1 more source
Some Quantum Dynamical Semi-groups with Quantum Stochastic Dilation [PDF]
, 2015 We consider the GNS Hilbert space $\mathcal{H}$ of a uniformly hyper-finite $C^*$- algebra and study a class of unbounded Lindbladian arises from commutators.
Sahu, Lingaraj, Singh, Preetinder
core +3 more sources
On Markovian cocycle perturbations in classical and quantum probability
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 54, Page 3443-3467, 2003., 2003 We introduce Markovian cocycle perturbations of the groups of transformations associated with classical and quantum stochastic processes with stationary increments, which are characterized by a localization of the perturbation to the algebra of events of the past. The Markovian cocycle perturbations of the Kolmogorov flows associated with the classical
G. G. Amosov
wiley +1 more source
Quantum stochastic integrals as operators [PDF]
, 2010 We construct quantum stochastic integrals for the integrator being a martingale in a von Neumann algebra, and the integrand -- a suitable process with values in the same algebra, as densely defined operators affiliated with the algebra.
Andrzej Łuczak +10 more
core +1 more source
On the Kolmogorov--Wiener--Masani spectrum of a multi-mode weakly stationary quantum process [PDF]
, 2016 We introduce the notion of a $k$-mode weakly stationary quantum process $\varrho$ based on the canonical Schr\"odinger pairs of position and momentum observables in copies of $L^2(\mathbb{R}^k)$, indexed by an additive abelian group $D$ of countable ...
Parthasarathy, K. R. +1 more
core +3 more sources
How to differentiate a quantum stochastic cocycle. [PDF]
, 2010 Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J. Martin
core +3 more sources
E-semigroups Subordinate to CCR Flows [PDF]
, 2010 The subordinate E-semigroups of a fixed E-semigroup are in one-to-one correspondence with local projection-valued cocycles of that semigroup. For the CCR flow we characterise these cocycles in terms of their stochastic generators, that is, in terms of ...
Wills, Stephen J.
core +3 more sources
Simply Generated Trees, B-series and Wigner Processes [PDF]
, 2004 We consider simply generated trees and study multiplicative functions on rooted plane trees. We show that the associated generating functions satisfy differential equations or difference equations.
Mazza, Christian
core +4 more sources