Logo

Homological Tools for the Quantum Mechanic

Small book cover: Homological Tools for the Quantum Mechanic

Homological Tools for the Quantum Mechanic
by

Publisher: arXiv.org
Number of pages: 126

Description:
This paper is an introduction to work motivated by the question 'can multipartite entanglement be detected by homological algebra?' We introduce cochain complexes associated to multipartite density states whose cohomology detects factorizability.

Home page url

Download or read it online for free here:
Download link
(1.4MB, PDF)

Similar books

Book cover: Uncertainty and Exclusion Principles in Quantum MechanicsUncertainty and Exclusion Principles in Quantum Mechanics
by - arXiv.org
These are lecture notes for a master-level course given at KTH, Stockholm, in the spring of 2017, with the primary aim of proving the stability of matter from first principles using modern mathematical methods in many-body quantum mechanics.
(5265 views)
Book cover: Quantization and SemiclassicsQuantization and Semiclassics
by - arXiv
This text is aimed at graduate students in physics in mathematics and designed to give a comprehensive introduction to Weyl quantization and semiclassics via Egorov's theorem. An application of Weyl calculus to Born-Oppenheimer systems is discussed.
(7983 views)
Book cover: Guide to Mathematical Concepts of Quantum TheoryGuide to Mathematical Concepts of Quantum Theory
by - arXiv
In this text the authors introduce the quantum theory understood as a mathematical model describing quantum experiments. This is a mathematically clear and self-containing explanation of the main concepts of the modern language of quantum theory.
(13063 views)
Book cover: Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanicsLecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
by - arXiv
A graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization.
(13730 views)