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)).
Friedman, Inferring cellular networks using probabilistic graphical models, Science 303, 799 (2004)
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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)).