Sequential unsharp measurement of photon polarization
arXiv:2209.09044 · doi:10.1103/PhysRevA.107.063706
Abstract
We propose a general experimental scheme based on binary trees of partially polarizing beam splitters (PPBSs) for realizing sequential unsharp measurements of photon polarization. The sharpnesses and the bases of the particular photon polarization measurements can be chosen arbitrarily by using corresponding PPBSs and phase plates in the setup. In the limit of low sharpnesses the scheme can realize sequential weak measurements, too. We develop a general formalism for describing sequential unsharp measurements of photon polarization in which the particular unsharp measurements are characterized by appropriate measurement operators. We show that a straightforward experimental realization of this model is the proposed scheme. In this formalism the output polarization states after the sequential measurement and any correlation functions characterizing the measurement results can be easily calculated. Our model can be used for analyzing the consequences of applying postselection and reselection in the measurement. We derive the anomalous mean value for an unsharp polarization measurement with postselection and the anomalous second-order correlation function for the sequential unsharp measurement of photon polarization with reselection. We show that these anomalies can be easily measured using the proposed scheme.
References in corpus (15)
- Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
- Quantum Advantage in Postselected Metrology
- Weak Value Amplification Can Outperform Conventional Measurement in the Presence of Detector Saturation
- Sequential weak measurement
- Approaching quantum-limited metrology with imperfect detectors by using weak-value amplification
- Weak value controversy
- Weak value beyond conditional expectation value of the pointer readings
- Experimental Test of Sequential Weak Measurements for Certified Quantum Randomness Extraction
- Enhanced weak-value amplification via photon recycling
- Weak-value-amplification analysis beyond the AAV limit of weak measurements
- Experimental Realization of Sequential Weak Measurements of Arbitrary Non-commuting Pauli Observables
- Investigating the Effects of the Interaction Intensity in a Weak Measurement
- Anomalous weak values via a single photon detection
- A variable partially-polarizing beam splitter
- Joint weak value for all order coupling using continuous variable and qubit probe