Computer scientists prove that heat destroys quantum entanglement

Relation to Decoherence and Classical Limit

  • Several commenters relate the result to known models of dissipation/decoherence (e.g., Caldeira–Leggett), debating whether the high‑temperature limit is just “the classical limit.”
  • Others stress the paper is “fully quantum”: the infinite‑temperature Gibbs state is maximally mixed, not necessarily “classical,” though it behaves classically regarding entanglement.

What the Result Actually Covers

  • The theorem is about Gibbs (thermal equilibrium) states of many‑body systems: above a system‑dependent finite temperature, these states lie inside the convex hull of product states and become separable (unentangled).
  • It applies specifically to spin / lattice systems in thermal equilibrium, not to, for example, freely propagating entangled photons.
  • One commenter notes this implies a hot bath will fully disentangle an initially entangled system in finite time once it thermalizes.

Superposition, Measurement, and Schrödinger’s Cat

  • Long discussion about what counts as a “measurement” and “observer.”
  • Some argue any interaction that causes decoherence is effectively a measurement; no special role for consciousness.
  • Others emphasize that decoherence alone does not resolve the measurement problem or explain non‑unitary “collapse.”
  • Schrödinger’s cat is used to probe macroscopic superposition, isolation of the box, and whether collapse is relative to each observer or global.

Entanglement, Bell Tests, and Hidden Variables

  • Multiple explanations of why entanglement is not just pre‑set correlated states, referencing Bell tests and CHSH‑type games.
  • Superdeterminism is discussed as a loophole (global hidden state fixed since the Big Bang); some find it appealing, others find it extremely contrived and non‑testable.

Interpretations of Quantum Mechanics

  • Many‑worlds, decoherence, and the idea that “collapse” is appearance from within an entangled universe are debated.
  • Competing views: a single universal wavefunction vs. wavefunction as knowledge; relative vs. objective collapse remain unresolved.

Heat, Interaction, and Entanglement

  • Clarification that heat transfer (radiation, conduction, etc.) involves interactions that can spread entanglement; high temperature in this work specifically destroys certain long‑range entanglement structures.
  • A hot object may lose special quantum correlations while still being heavily entangled with its environment.