Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Birkhäuser Basel eBooks

Probability and Quantum Symmetries in a Riemannian Manifold

Jean-Claude Zambrini

Published Jan 1, 1999• 8 citations
Publisher

Abstract

We show how to use the theory of diffusion processes in order to discover new features of quantum symmetries on a Riemannian manifold. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
DOI
10.1007/978-3-0348-8681-9_20

Related papers

Quantum Information Processing with Quantum Optics

J. I. Cirac, L.-M. Duan, Dieter Jaksch +1 more

We review theoretical proposals for implementation of quantum computing and quantum communication with quantum optical methods. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Birkhäuser Basel eBooks•Jan 1, 2003•3 citations

A quantization of diffusion processes on manifolds

Lu, Y.G.

Via the well known chaos decomposition with respect to the multidimensional Brownian motion, we give a possible quantization of a diffusion process (in particular, Brownian motion) on a Riemannian manifold. The quantized diffusion process on Riemannian manifold is a quantum Brownian motion on a Holbert space determined by the momentum algebra.

Note di matematica/Note di matematica - Università degli studi di Lecce•Aug 4, 2009•0 citations

The Itô Calculus

Masao Nagasawa

We need Itô’s stochastic calculus in the theory of diffusion processes for non-relativistic quantum particles. The theory of martingales, which is the right language for the stochastic calculus, is briefly explained in Section 16.2. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Birkhäuser Basel eBooks•Jan 1, 2000•0 citations

Quantum Cognition, Neural Oscillators, and Negative Probabilities

J. Acácio de Barros, Gary Oas

This review paper has three main goals. First, to discuss a contextual neurophysiologically plausible model of neural oscillators that reproduces some of the features of quantum cognition. Second, to show that such a model predicts contextual situations where quantum cognition is inadequate. Third, to present an extended probability theory that not only can describe situations that are beyond quantum probability, but also provides an advantage in terms of contextual decision-making. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Palgrave Macmillan UK eBooks•Jan 1, 2017•13 citations

A nicolai map for supersymmetric quantum mechanics on riemannian manifolds

R. Graham, D. Roekaerts

Lecture notes in mathematics•Jan 1, 1987•3 citations

Quantum diffusion on manifolds

Timothy R Field

Journal of Geometry and Physics•Mar 15, 2003•1 citation
This review paper has three main goals. First, to discuss a contextual neurophysiologically plausible model of neural oscillators that reproduces some of the features of quantum cognition. Second, to show that such a model predicts contextual situations where quantum cognition is inadequate. Third, to present an extended probability theory that not only can describe situations that are beyond quantum probability, but also provides an advantage in terms of contextual decision-making. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.