Heisenberg-limited Hamiltonian learning is achievable with any constant minimum evolution time T per query, attaining optimal 1/ε total-time scaling for logarithmically sparse Hamiltonians.
Practical characterization of quantum devices without tomography.Physical Review Letters, 107(21):210404
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HHL algorithm achieves provably good worst-case performance assuming only average-case correct QFT, via a strengthened Linden-de Wolf protocol applied across three scenarios.
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Heisenberg-limited Hamiltonian learning without short-time control
Heisenberg-limited Hamiltonian learning is achievable with any constant minimum evolution time T per query, attaining optimal 1/ε total-time scaling for logarithmically sparse Hamiltonians.
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Worst-case Harrow-Hassidim-Lloyd algorithm with average-case correct quantum Fourier transform
HHL algorithm achieves provably good worst-case performance assuming only average-case correct QFT, via a strengthened Linden-de Wolf protocol applied across three scenarios.