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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A quantum solver for PDEs is introduced via flexible matrix product operator representations with mid-circuit measurements and state-dependent norm correction to handle non-unitary dynamics.
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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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Tensor-Programmable Quantum Circuits for Solving Differential Equations
A quantum solver for PDEs is introduced via flexible matrix product operator representations with mid-circuit measurements and state-dependent norm correction to handle non-unitary dynamics.