Auto-correlative weak-value amplification under strong noise background

Abstract

By choosing more orthogonality between pre-selection and post-selection states, one can significantly improve the sensitivity in the general optical quantum metrology based on the weak-value amplification (WVA) approach. However, increasing the orthogonality decreases the probability of detecting photons and makes the weak measurement difficult, especially when the weak measurement is disturbed by strong noise and the pointer is drowned in noise with a negative-dB signal-to-noise ratio (SNR). In this article, we investigate a modified weak measurement protocol with a temporal pointer, namely, the auto-correlative weak-value amplification (AWVA) approach. Specifically, a small longitudinal time delay (tiny phase shift) $\tau$ of a Gaussian pulse is measured by implementing two simultaneous auto-correlative weak measurements under Gaussian white noise with different SNR. The small quantities $\tau$ are obtained by measuring the auto-correlation coefficient of the pulses instead of fitting the shift of the mean value of the probe in the standard WVA technique. Simulation results show that the AWVA approach outperforms the standard WVA technique in the time domain with smaller statistical errors, remarkably increasing the precision of weak measurement under strong noise background.

18 pages, 11 figures

References in corpus (9)

• Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
• Complex weak values in quantum measurement
• Weak Value Amplification Can Outperform Conventional Measurement in the Presence of Detector Saturation
• Approaching quantum-limited metrology with imperfect detectors by using weak-value amplification
• Precision measurements with photon-subtracted or photon-added Gaussian states
• Optimal Probe Wavefunction of Weak-Value Amplification
• Ultra-sensitive phase estimation with white light
• Effects of correlated Gaussian noise on the mean firing rate and correlations of an electrically coupled neuronal network
• Detection of signals in presence of noise through Josephson junction switching currents

Cited by in corpus (3)

• A potential third-generation gravitational-wave detector based on autocorrelative weak-value amplification
• Weak-Value Amplification for Longitudinal Phase Measurements Approaching the Shot-Noise Limit Characterized by Allan Variance
• Mitigating Source and Detection Noises in Auto-correlative Weak-Value Amplification