Quantum Information for Particle Theorists

TL;DR

This paper provides an overview of quantum information concepts relevant to particle theorists, including quantum circuits, entanglement, and quantum field theory simulations, with practical tools for experimentation.

Contribution

It introduces quantum information techniques to particle theory, including practical implementations and computational tools for simulating quantum phenomena.

Findings

Demonstrates quantum simulation of quantum field theory

Provides reproducible Python and Mathematica notebooks

Explores entanglement entropy and quantum measurement

Abstract

Lectures given at the Theoretical Advanced Study Institute (TASI 2020), 1-26 June 2020. The topics covered include quantum circuits, entanglement, quantum teleportation, Bell inequalities, quantum entropy and decoherence, classical versus quantum measurement, the area law for entanglement entropy in quantum field theory, and simulating quantum field theory on a quantum computer. Along the way we confront the fundamental sloppiness of how we all learned (and some of us taught) quantum mechanics in college. Links to a Python notebook and Mathematica notebooks will allow the reader to reproduce and extend the calculations, as well as perform five experiments on a quantum simulator.