Faster quantum algorithm outputs a state whose energy is at most the minimum energy among all depth-d circuits applied to |0>, plus an energy estimate, for k-local Hamiltonians.
and Hastings, Matthew B
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An Entropy-Governed Speedup for Quantum Algorithms on Local Hamiltonians
Faster quantum algorithm outputs a state whose energy is at most the minimum energy among all depth-d circuits applied to |0>, plus an energy estimate, for k-local Hamiltonians.