**Homological Tools for the Quantum Mechanic**

by Tom Mainiero

**Publisher**: arXiv.org 2019**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.

Download or read it online for free here:

**Download link**

(1.4MB, PDF)

## Similar books

**Uncertainty and Exclusion Principles in Quantum Mechanics**

by

**Douglas Lundholm**-

**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.

(

**1349**views)

**Guide to Mathematical Concepts of Quantum Theory**

by

**Teiko Heinosaari, Mario Ziman**-

**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.

(

**8179**views)

**Quantization and Semiclassics**

by

**Max Lein**-

**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.

(

**4080**views)

**Mathematical Foundations of Quantum Mechanics**

by

**Valter Moretti**-

**arXiv**

The author reviews the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas ...

(

**3886**views)