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.
Quantum tensor product structures are observable-induced
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
It is argued that the partition of a quantum system into subsystems is dictated by the set of operationally accessible interactions and measurements. The emergence of a multi-partite tensor product structure of the state-space and the associated notion of quantum entanglement are then relative and observable-induced. We develop a general algebraic framework aimed to formalize this concept. We discuss several cases relevant to quantum information processing and decoherence control.
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Typical entanglement entropy with fixed global charge is given by the local thermal entropy at fixed charge density for both U(1) and SU(2) symmetries in the thermodynamic limit.
Any Hamiltonian can be recast via Fock basis change as a local 1D lattice theory whose dispersion relation and non-integrability depend on its spectrum.
Invariance of the SU(∞)-QGR action under variation of the parameter-space metric produces an Einstein-like energy-momentum constraint, and Hilbert-space fragmentation is argued to classically appear as inflation, reheating, and late-time acceleration.
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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Typical entanglement entropy with charge conservation
Typical entanglement entropy with fixed global charge is given by the local thermal entropy at fixed charge density for both U(1) and SU(2) symmetries in the thermodynamic limit.
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Wave packets from the spectrum
Any Hamiltonian can be recast via Fock basis change as a local 1D lattice theory whose dispersion relation and non-integrability depend on its spectrum.
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Energy-momentum and dark energy in $\boldsymbol{SU(\infty)}$-QGR quantum gravity
Invariance of the SU(∞)-QGR action under variation of the parameter-space metric produces an Einstein-like energy-momentum constraint, and Hilbert-space fragmentation is argued to classically appear as inflation, reheating, and late-time acceleration.