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Constrained Mechanics and Noiseless Subsystems

2006/01/09 by Tomasz Konopka, Konopka, Tomasz, Fotini Markopoulou +1 · 2 citations
Computer Science · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #gr-qc #quant-ph

paper · pdf · doi:10.48550/arxiv.gr-qc/0601028

15 pages

arxiv created 2006/01/09 · openalex publication_date 2006/01/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Many theories are formulated as constrained systems. We provide a mechanism that explains the origin of physical states of a constrained system by a process of selection of noiseless subsystems when the system is coupled to an external environment. Effectively, physical states that solve all the constraints are selected by a passive error correction scheme which has been developed in the context of quantum information processing. We apply this mechanism to several constrained theories including the relativistic particle, electromagnetism, and quantum gravity, and discuss some interesting (and speculative) implications on the problem of time and the status of symmetries in nature.

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