Lightning Talks
summary
Covers rigorous thermalization rates for the mean-field Heisenberg ferromagnet: proves the Davies-generator spectral gap is constant for non-critical β and scales as Θ(1/n) below the phase transition (βc=2), with matching upper and lower bounds. Proof uses SU(2) and S_n symmetry, Schur’s lemma, a new group-mixer comparison argument that imports classical Markov gaps to Lindbladians, and an explicit operator inequality that relates Dirichlet forms; results are optimal and discuss extensibility to local Heisenberg models.
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chapters (10)
- 0:00Introduction
- 12:09Gibbs state preparation
- 17:48Verifiable quantum advantage with IQP circuits
- 35:20Q&A on quantum advantage
- 36:08Unified framework for qLDPC codes
- 50:54Q&A on qLDPC codes
- 51:14String theory hardness
- 1:12:46Open discussion
- 1:13:51Universal nonlocality and cryptography
- 1:35:26Q&A on UCN and cryptography
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