La Probabilidad de la Mecanica Cuantica: Una Introduccion en noventa minutos

TL;DR

This paper introduces the non-classical probability theory of quantum mechanics in an accessible way using undergraduate linear algebra, clarifying its differences from classical probability without requiring prior quantum mechanics knowledge.

Contribution

It provides an introductory explanation of quantum probability theory, including an appendix on qubits, aimed at readers without prior quantum mechanics background.

Findings

Quantum probability differs from classical probability.

Introduction of quantum concepts using linear algebra.

Accessible explanation suitable for undergraduates.

Abstract

Referring to quantum mechanics, Einstein used to say "The old one does not play dice." And this is true since the probability of quantum mechanics is not the classical probability of games such as dice. Historically this was the first example of a non-classical probability theory, which we introduce in this expository article using undergraduate linear algebra. There is a short appendix on qubits. Knowledge of quantum mechanics is not required.