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DOE OSTI · 2588516

Superselection rules, quantum error correction, and quantum chromodynamics

Bao, Ning [Brookhaven National Laboratory (BNL), Upton, NY (United States); Northeastern Univ., Boston, MA (United States)] (ORCID:0000000232961039)·Cao, ChunJun [California Institute of Technology (CalTech), Pasadena, CA (United States); Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)] (ORCID:0000000257615474)·Chatwin-Davies, Aidan [Univ. of Rhode Island, Kingston, RI (United States)] (ORCID:0000000314069271)·Cheng, Gong [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Univ. of Maryland, College Park, MD (United States)] (ORCID:0009000891587404)·Zhu, Guanyu [IBM, Yorktown Heights, NY (United States). Thomas J. Watson Research Center] (ORCID:0000000233754445)
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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.

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97 MATHEMATICS AND COMPUTINGConfinementEffective Field Theories of QCDGlobal Symmetries

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Bao, Ning [Brookhaven National Laboratory (BNL), Upton, NY (United States); Northeastern Univ., Boston, MA (United States)] (ORCID:0000000232961039), Cao, ChunJun [California Institute of Technology (CalTech), Pasadena, CA (United States); Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)] (ORCID:0000000257615474), Chatwin-Davies, Aidan [Univ. of Rhode Island, Kingston, RI (United States)] (ORCID:0000000314069271), Cheng, Gong [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Univ. of Maryland, College Park, MD (United States)] (ORCID:0009000891587404), Zhu, Guanyu [IBM, Yorktown Heights, NY (United States). Thomas J. Watson Research Center] (ORCID:0000000233754445). 2025-05-28. Superselection rules, quantum error correction, and quantum chromodynamics. https://doi.org/10.1007/jhep05(2025)236

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