Superselection rules, quantum error correction, and quantum chromodynamics
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Brookhaven National Laboratory
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Northeastern University
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California Institute of Technology
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Virginia Tech
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University of Rhode Island
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University of Maryland, College Park
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IBM Research - Thomas J. Watson Research Center
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 the code built from quantum chromodynamics, 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.
Copyright and License
© The Authors.
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Article funded by SCOAP3.
Acknowledgement
We thank Philippe Faist, Layla Hormozi, Charles Marteau, Brian Swingle, and Christopher White for helpful discussions during the preparation of this manuscript. ACD acknowledges the support of the Natural Sciences and Engineering Research Council of Canada (NSERC), [funding reference number PDF-545750-2020] and was supported for a portion of this work as a postdoctoral fellow (Fundamental Research) of the National Research Foundation – Flanders (FWO), Belgium. N.B. is supported by the Computational Science Initiative at Brookhaven National Laboratory, Northeastern University, and by the U.S. Department of Energy QuantISED Quantum Telescope award. C.C. acknowledges the Air Force Office of Scientific Research (FA9550-19-1-0360), and the National Science Foundation (PHY-1733907). The Institute for Quantum Information and Matter is an NSF Physics Frontiers Center. G.Z. acknowledges the support by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Co-design Center for Quantum Advantage (C2QA) under contract number DE-SC0012704. G.C. acknowledges support from the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, Accelerated Research for Quantum Computing program “FAR-QC”.
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Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2306.17230 (arXiv)
Funding
- Natural Sciences and Engineering Research Council
- PDF-545750-2020
- Research Foundation - Flanders
- Brookhaven National Laboratory
- Northeastern University
- United States Department of Energy
- DE-SC0012704
- United States Air Force Office of Scientific Research
- FA9550-19-1-0360
- National Science Foundation
- PHY-1733907
- SCOAP3
Dates
- Accepted
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2025-03-31
- Available
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2025-05-28Published