3 problems

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Strictly local Gibbs approximation conjecture for quasi-local dynamics
Consider quasi-local quantum dynamics with a steady state and Gibbs states of local Hamiltonians. A Gibbs state of a Hamiltonian is strictly local when the Hamiltonian contains onl…
Conjectureopengibbs-states quantum-channels quasi-localityarXiv posted 2 days ago
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The conjectured strictness of quasi-locality versus finite-propagation approximation
For a metric space and an operator algebra containing the relevant operators, an operator is quasi-local if it can be approximated in the sense defined in the paper by operators wh…
Conjecturerefutedcoarse-geometry quasi-locality roe-algebrasarXiv posted 2 days ago
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The quasi-local boundary Hamiltonian conjecture for bulk spectral gaps
Quasi-local boundary Hamiltonian conjecture. The same implication should hold for quasi-local interactions: a quasi-local boundary Hamiltonian should imply a spectral gap in the bu…
Conjectureopenquantum-spin-systems quasi-locality spectral-gapsarXiv posted 2 days ago

Strictly local Gibbs approximation conjecture for quasi-local dynamics