Gibbs resampling transitions and structured fast-measurement protocols

arXiv:2609.22425 · quant-ph · Submitted 2026-09-18 · Read on arXiv

quant-ph

Submitted: 2026-09-18

Updated: 2026-09-18

Terminology

• Fidelity — 17× in this paper · explained in 2 episodes
• Topological Defects — 12× in this paper · explained in 2 episodes
• Gibbs State — 5× in this paper · explained in 2 episodes
• Domain Walls — 4× in this paper · explained in 2 episodes
• Monte Carlo — 2× in this paper
• Adam — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Post-Selection — 1× in this paper · explained in 2 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• Disentangling Hype from Practicality: On Realistically Achieving Quantum Advantage
• The Grand Challenge of Quantum Applications
• The problem of equilibration and the computation of correlation functions on a quantum computer
• Rapid mixing for Gibbs states within a logical sector: a dynamical view of self-correcting quantum memories
• Predicting properties of quantum thermal states from a single trajectory
• Thermal expectation estimation via single-trajectory Gibbs sampling with non-destructive measurements
• Catalytic Tomography of Ground States
• Quantum Gibbs states are locally Markovian
• Phenomenological Noise Models and Optimal Thresholds of the 3D Toric Code

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