Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
Operational Quantum Reference Frame Transformations
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Extends quantum reference frames to quantum reference fields in linearized quantum gravity and derives unitary maps implementing relational gauge-invariant observables between quantum perspectives.
Defines W*-algebra valued integration via POVMs on measurable spaces, proving the map is a faithful normal unital CP map that is a *-homomorphism for PVMs and satisfies Leibniz and Fubini rules.
citing papers explorer
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Gauss law codes and vacuum codes from lattice gauge theories
Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
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Quantum Reference Fields Transformations in Linearized Quantum Gravity
Extends quantum reference frames to quantum reference fields in linearized quantum gravity and derives unitary maps implementing relational gauge-invariant observables between quantum perspectives.
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W*-algebraic Integration Theory
Defines W*-algebra valued integration via POVMs on measurable spaces, proving the map is a faithful normal unital CP map that is a *-homomorphism for PVMs and satisfies Leibniz and Fubini rules.