Partition functions can be estimated from the success probability of a block-encoded imaginary-time propagator, with sample complexity O(2^n e^β/(Z_β ε_r²)).
Zwanzig, Two-state models of protein folding kinetics, Proc Natl Acad Sci U S A 94, 148 (1997)
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Partition function estimation with a quantum coin toss
Partition functions can be estimated from the success probability of a block-encoded imaginary-time propagator, with sample complexity O(2^n e^β/(Z_β ε_r²)).