Quantum thermodynamics

Can every bounded-degree local Hamiltonian with unknown interaction support be learned efficiently from copies of its Gibbs state at any fixed inverse temperature?

• Quantum Metrology
• Quantum Algorithm
• Quantum estimation
• Computational complexity and computability
• Quantum thermodynamics

Do normalized one-dimensional Chen–Kastoryano–Gilyén Gibbs samplers have a positive modified log-Sobolev constant uniformly in system size at every fixed finite temperature?

• Quantum Resource Theory
• Quantum Algorithm
• Quantum thermodynamics
• Quantum state preparation
• Quantum relative entropy

What is the minimax copy complexity of identity testing two unknown \(k\)-local Gibbs states using only measurements on individual copies?

• Quantum Metrology
• Quantum Algorithm
• Quantum hypothesis testing
• One-shot and finite-blocklength bounds
• Quantum thermodynamics

Is every fixed-temperature Gibbs state of a bounded finite-range qubit Hamiltonian on the square lattice an exact convex combination of PEPS with system-size-independent bond dimension?

• Quantum Resource Theory
• Quantum thermodynamics
• Quantum state preparation

Does there exist a passive self-correcting quantum memory in three spatial dimensions?

• Quantum Error Correction
• Self-correcting quantum memories
• Quantum thermodynamics
• Quantum coding theory

What are the exact one-shot coherence and work costs of implementing an arbitrary Gibbs-preserving channel by thermal operations?

• Quantum Resource Theory
• Quantum thermodynamics
• Channel simulation
• One-shot and finite-blocklength bounds
• Resource conversion