Difference Weak Measurement

Abstract

We propose the difference weak measurement scheme, and illustrate its advantages for measuring small longitude phase-shift in high precision. Compared to the standard interferometry and standard weak measurement schemes, the proposed scheme has much higher resolution in present of various practical imperfections, such as alignment error and light intensity variation error. Moreover, we highlight the advantage of utilizing complex weak value, where its imaginary part can reduce the harmful effect induced by channel decoherence. Finally, we propose closed-loop scenario to solve the narrow dynamic range problem obsessing the current weak measurement schemes. Difference weak measurement scheme simultaneously fulfills the requirements of high precision, wide dynamic range and strong robustness, which makes it a powerfully practical tool for phase-shift measurement and other metrological tasks.

arXiv comment7 pages, 8 figures, submitted to PRA

References in corpus (18)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Colloquium: Understanding Quantum Weak Values: Basics and Applications
• Measuring small longitudinal phase shifts: weak measurements or standard interferometry?
• Fisher information under decoherence in Bloch representation
• Nonperturbative theory of weak pre- and post-selected measurements
• Technical advantages for weak value amplification: When less is more
• Amplifying Single-Photon Nonlinearity Using Weak Measurement
• Precision metrology using weak measurements
• Measuring ultrasmall time delays of light by joint weak measurements
• Weak Value Amplification Can Outperform Conventional Measurement in the Presence of Detector Saturation
• Experimentally quantifying the advantages of weak-value-based metrology
• Entanglement-assisted weak value amplification
• Using technical noise to increase the signal-to-noise ratio, via imaginary weak values
• Power-recycled weak-value-based metrology
• Weak Values with Decoherence
• Heisenberg-scaling measurement of the single-photon Kerr non-linearity using mixed states
• Protecting weak measurements against systematic errors
• Ultra-small phase estimation via weak measurement technique with postselection

Cited by in corpus (5)

• Universality of local weak interactions and its application for interferometric alignment
• High Precision Multi-parameter Weak Measurement with Hermite-Gaussian Pointer
• Robustness of optic-fiber-based weak value amplification against amplitude-type noise
• Pre- and post-selected measurements with coupling-strength-dependent modulation
• Mitigating Source and Detection Noises in Auto-correlative Weak-Value Amplification