# Phase Space Spin-Entropy

## TL;DR

This paper explores the entropy associated with the spin of quantum states and how entanglement affects it.

## Contribution

The paper introduces and analyzes spin-entropy, a novel concept in quantum information theory.

## Key findings

- Spin-entropy quantifies randomness in the spin degree of freedom of quantum states.
- Entanglement increases the spin-entropy of quantum systems.
- A dynamic model describes the time evolution of spin-entropy.

## Abstract

Quantum physics is intrinsically probabilistic, where the Born rule yields the probabilities associated with a state that deterministically evolves. The entropy of a quantum state quantifies the amount of randomness (or information loss) of such a state. The degrees of freedom of a quantum state are position and spin. We focus on the spin degree of freedom and elucidate the spin-entropy. Then, we present some of its properties and show how entanglement increases spin-entropy. A dynamic model for the time evolution of spin-entropy concludes the paper.