A new ancilla-free amplitude estimation method uses statistical eigengap estimation to achieve near-optimal query-depth tradeoffs in low-depth regimes with provable guarantees.
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QFAMES is a quantum algorithm that identifies clusters of closely spaced dominant eigenvalues and their multiplicities in quantum Hamiltonians under physically motivated assumptions, enabling observable estimation within energy clusters.
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Low-depth amplitude estimation via statistical eigengap estimation
A new ancilla-free amplitude estimation method uses statistical eigengap estimation to achieve near-optimal query-depth tradeoffs in low-depth regimes with provable guarantees.
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Quantum Filtering and Analysis of Multiplicities in Eigenvalue Spectra
QFAMES is a quantum algorithm that identifies clusters of closely spaced dominant eigenvalues and their multiplicities in quantum Hamiltonians under physically motivated assumptions, enabling observable estimation within energy clusters.