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arxiv 2201.09323 v2 pith:H5DM6IX2 submitted 2022-01-23 quant-ph cs.ITcs.SYeess.SYmath.IT

Dual-Frequency Quantum Phase Estimation Mitigates the Spectral Leakage of Quantum Algorithms

classification quant-ph cs.ITcs.SYeess.SYmath.IT
keywords quantumestimationleakagephasespectralwhenalgorithmsdual-frequency
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Quantum phase estimation is an important component in diverse quantum algorithms. However, it suffers from spectral leakage, when the reciprocal of the record length is not an integer multiple of the unknown phase, which incurs an accuracy degradation. For the existing single-sample estimation scheme, window-based methods have been proposed for spectral leakage mitigation. As a further advance, we propose a dual-frequency estimator, which asymptotically approaches the Cramer-Rao bound, when multiple samples are available. Numerical results show that the proposed estimator outperforms the existing window-based methods, when the number of samples is sufficiently high.

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