Thermodynamic Proof of Quantumness without Structure

arXiv:2609.25211 · quant-ph · Submitted 2026-09-21 · Read on arXiv

quant-ph

Submitted: 2026-09-21

Updated: 2026-09-21

Comments: 6 + 16 pages, 4 figures, comments welcome

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Verifier — 23× in this paper · explained in 2 episodes
• Query Complexity — 6× in this paper · explained in 2 episodes
• Verification — 4× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 3 episodes
• Adaptive Algorithm — 1× in this paper · explained in 1 episode
• Adaptive Sampling — 1× in this paper · explained in 1 episode
• Redundancy — 1× in this paper · explained in 2 episodes
• Steering — 1× in this paper · explained in 2 episodes

Sources

• Quantum Computing: Lecture Notes
• How Much Structure Is Needed for Huge Quantum Speedups?
• Exact requirements for battery-assisted qubit gates
• Quantum Frequential Computing: a quadratic runtime advantage for all computations
• Every Little Thing Heat Does Is Magic

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• A quasiparticle-protected superconducting qubit
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians