Trotter error cancellation in nanographene simulations reduces circuit depth by about 10x for quantum phase estimation of energy gaps to chemical accuracy in the Pariser-Parr-Pople model.
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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 simulation of nanographenes and Trotter error cancellation
Trotter error cancellation in nanographene simulations reduces circuit depth by about 10x for quantum phase estimation of energy gaps to chemical accuracy in the Pariser-Parr-Pople model.
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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.