# Quantum Thermodynamics and Canonical Typicality

## TL;DR

This paper discusses quantum thermodynamics and canonical typicality, showing how entanglement underpins statistical mechanics and deriving an alternative to the equal a priori probability postulate using convex geometry techniques.

## Contribution

It introduces a new derivation of the equal a priori probability postulate based on convex geometry, emphasizing the role of entanglement in quantum statistical mechanics.

## Key findings

- Entanglement can be used constructively in statistical mechanics.
- An alternative derivation of the equal a priori probability postulate is provided.
- Convex geometry techniques are applied to quantum thermodynamics.

## Abstract

We present here a set of lecture notes on quantum thermodynamics and canonical typicality. Entanglement can be constructively used in the foundations of statistical mechanics. An alternative version of the postulate of equal a priori probability is derived making use of some techniques of convex geometry