Experimental Realization of the Markov Chain Monte Carlo Algorithm on a Quantum Computer

arXiv:2603.08395 · quant-ph · Submitted 2026-03-09 · Read on arXiv

quant-ph

Submitted: 2026-03-09

Updated: 2026-09-29

Terminology

• Quantum Amplitude Estimation — 5× in this paper
• Quantization — 4× in this paper · explained in 12 episodes
• Noisy Intermediate Scale Quantum — 3× in this paper
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Bayesian Inference — 1× in this paper · explained in 5 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Post-Selection — 1× in this paper · explained in 2 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes

Sources

• Quantum Circuits for the Metropolis-Hastings Algorithm
• Helios: A 98-qubit trapped-ion quantum computer
• Generalized Quantum Singular Value Transformation
• Quantum measurements and the Abelian Stabilizer Problem
• GUPPY: Pythonic Quantum-Classical Programming

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