Superselection Rules, Quantum Error Correction, and Quantum Chromodynamics
Ning Bao, ChunJun Cao, Aidan Chatwin-Davies, Gong Cheng, Guanyu Zhu · arXiv (Cornell University) · 2023
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.