**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.

(

**986**views)

**A Pedestrian Introduction to the Mathematical Concepts of Quantum Physics**

by

**Jan Govaerts**-

**arXiv**

A basic introduction to the primary mathematical concepts of quantum physics, and their physical significance, from the operator and Hilbert space point of view, highlighting more what are essentially the abstract algebraic aspects of quantization.

(

**9979**views)

**Geometry of Quantum Mechanics**

by

**Ingemar Bengtsson**-

**Stockholms universitet, Fysikum**

These are the lecture notes from a graduate course in the geometry of quantum mechanics. The idea was to introduce the mathematics in its own right, but not to introduce anything that is not directly relevant to the subject.

(

**9401**views)

**Numerical Methods in Quantum Mechanics**

by

**Paolo Giannozzi**-

**University of Udine**

The aim of these lecture notes is to provide an introduction to methods and techniques used in the numerical solution of simple (non-relativistic) quantum-mechanical problems, with special emphasis on atomic and condensed-matter physics.

(

**3749**views)