Quantum frameness for Charge-Parity-Time inversion symmetry

TL;DR

This paper develops a resource theory for CPT symmetry in quantum systems, enabling quantum information processing despite superselection rules by using a unified CPT representation.

Contribution

It introduces a framework for CPT frameness resources, quantifies them for various particles, and demonstrates the possibility of quantum information processing under CPT superselection.

Findings

CPT frameness resources can be constructed and quantified.

Quantum information processing is feasible with CPT superselection.

A unified CPT representation avoids issues with anti-unitary operations.

Abstract

We develop a theory of charge-parity-time (CPT) frameness resources to circumvent CPT-superselection. We construct and quantify such resources for spin~0, $\frac{1}{2}$, 1, and Majorana particles and show that quantum information processing is possible even with CPT superselection. Our method employs a unitary representation of CPT inversion by considering the aggregate action of CPT rather than the composition of separate C, P and T operations, as some of these operations involve problematic anti-unitary representations.