Quantum Metropolis-Hastings is implemented in quantum circuits via penalized qubitized walks with spectral filtering, where specific modifications are shown to be essential for recovering correct stationary behavior.
For smallβ(high temperature),π β is close to uniform, and the associated Metropolis-Hastings chain onEexhibits a relatively large spectral gapδ(β)
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Quantum Metropolis-Hastings via Penalised Qubitized Walks: Spectral Filtering and Circuit Implementation
Quantum Metropolis-Hastings is implemented in quantum circuits via penalized qubitized walks with spectral filtering, where specific modifications are shown to be essential for recovering correct stationary behavior.