Superselection Rules, Quantum Error Correction, and Quantum Chromodynamics

2023/06/29 by Ning Bao, ChunJun Cao, Bao, Ning +7 · 1 citation
Computer Science · Engineering · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Radiation Effects in Electronics

paper · pdf · doi:10.48550/arxiv.2306.17230

openalex publication_date 2023/06/29 · openalex created_date 2023/07/04 · openalex updated_date 2026/08/01

Abstract

We investigate the relationship between superselection rules and quantum error correcting codes. We demonstrate that the existence of a superselection rule implies the Knill-Laflamme condition in quantum error correction. As an example, we examine quantum chromodynamics through the lens of quantum error correction, where the proton and neutron states in the model are explored as different superselection sectors that protect logical information. Finally we comment on topological quantum error correcting codes and supersymmetric quantum field theory within this framework.

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