The authors prove the location of the quantum Almeida-Thouless line by establishing a simplified Parisi variational principle for the quantum pressure in the self-overlap-corrected quantum SK model.
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Proves an exponential lower bound on the mixing time of Glauber dynamics for the p-spin glass at inverse temperatures above C ln(p)/p for large p, via energy landscape analysis with Gaussian decompositions and a bottleneck bound.
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The quantum Almeida-Thouless line in the self-overlap-corrected quantum Sherrington-Kirkpatrick model
The authors prove the location of the quantum Almeida-Thouless line by establishing a simplified Parisi variational principle for the quantum pressure in the self-overlap-corrected quantum SK model.
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Lower bound on the mixing time of $p$-spin glasses
Proves an exponential lower bound on the mixing time of Glauber dynamics for the p-spin glass at inverse temperatures above C ln(p)/p for large p, via energy landscape analysis with Gaussian decompositions and a bottleneck bound.