A new quantum circuit construction for Szegedy walks implements Metropolis-Hastings acceptance and rejection with constant oracle calls and a 4m+3 qubit overhead, preserving a quadratic spectral gap amplification.
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Quantum Circuits for the Metropolis-Hastings Algorithm
A new quantum circuit construction for Szegedy walks implements Metropolis-Hastings acceptance and rejection with constant oracle calls and a 4m+3 qubit overhead, preserving a quadratic spectral gap amplification.