Symplectic Geometry of Quantum Noise
by Leonid Polterovich
Publisher: arXiv 2012
Number of pages: 57
Description:
We discuss a quantum counterpart, in the sense of the Berezin-Toeplitz quantization, of certain constraints on Poisson brackets coming from 'hard' symplectic geometry. It turns out that they can be interpreted in terms of the quantum noise of observables and their joint measurements in operational quantum mechanics. Our findings include various geometric mechanisms of quantum noise production and a noise-localization uncertainty relation.
Download or read it online for free here:
Download link
(470KB, PDF)
Similar books
Introduction to Symplectic and Hamiltonian Geometry
by Ana Cannas da Silva
The text covers foundations of symplectic geometry in a modern language. It describes symplectic manifolds and their transformations, and explains connections to topology and other geometries. It also covers hamiltonian fields and hamiltonian actions.
(14707 views)
by Ana Cannas da Silva
The text covers foundations of symplectic geometry in a modern language. It describes symplectic manifolds and their transformations, and explains connections to topology and other geometries. It also covers hamiltonian fields and hamiltonian actions.
(14707 views)
Symplectic, Poisson, and Noncommutative Geometry
by Tohru Eguchi, et al. - Cambridge University Press
Symplectic geometry has its origin in physics, but has flourished as an independent subject in mathematics, together with its offspring, symplectic topology. Symplectic methods have even been applied back to mathematical physics ...
(4791 views)
by Tohru Eguchi, et al. - Cambridge University Press
Symplectic geometry has its origin in physics, but has flourished as an independent subject in mathematics, together with its offspring, symplectic topology. Symplectic methods have even been applied back to mathematical physics ...
(4791 views)
Introduction to the Basics of Heegaard Floer Homology
by Bijan Sahamie - arXiv
This is an introduction to the basics of Heegaard Floer homology with some emphasis on the hat theory and to the contact geometric invariants in the theory. It is designed to be comprehensible to people without any prior knowledge of the subject.
(7687 views)
by Bijan Sahamie - arXiv
This is an introduction to the basics of Heegaard Floer homology with some emphasis on the hat theory and to the contact geometric invariants in the theory. It is designed to be comprehensible to people without any prior knowledge of the subject.
(7687 views)
Lectures on Holomorphic Curves in Symplectic and Contact Geometry
by Chris Wendl - arXiv
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves. From the table of contents: Introduction; Local properties; Fredholm theory; Moduli spaces; Bubbling and nonsqueezing.
(11542 views)
by Chris Wendl - arXiv
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves. From the table of contents: Introduction; Local properties; Fredholm theory; Moduli spaces; Bubbling and nonsqueezing.
(11542 views)