The article discusses how thermal states of local Hamiltonians are separable above a certain temperature threshold, challenging traditional beliefs about quantum correlations in Gibbs states. Surprisingly, the presence of short-range quantum correlations diminishes at higher temperatures, upending previous assumptions. Additionally, the study demonstrates the efficient sampling from a distribution over product states, highlighting the limitations of achieving super-polynomial quantum speedups in preparing Gibbs states above a constant temperature. The findings provide valuable insights into quantum entanglement behavior in thermal states and offer a new perspective on quantum computing capabilities.
https://arxiv.org/abs/2403.16850