Quantum-inspired protocol for measuring the degree of similarity between spatial shapes

Abstract

We put forward and demonstrate experimentally a {\it quantum-inspired} protocol that allows to quantify the degree of similarity between two spatial shapes embedded in two optical beams without the need to measure the amplitude and phase across each beam. Instead the sought-after information can be retrieved measuring the degree of polarization of the combined optical beam, a measurement that is much easier to implement experimentally. The protocol makes use of non-separable optical beams, whose main trait is that different degrees of freedom (polarization and spatial shape here) can not be described independently.

5 figures, 11 pages

References in corpus (9)

• Shifting the Quantum-Classical Boundary: Theory and Experiment for Statistically Classical Optical Fields
• Using a Complex Optical Orbital-Angular-Momentum Spectrum to Measure Object Parameters: A Spatial Domain Approach
• Quantum-inspired interferometry with chirped laser pulses
• Phase-conjugate optical coherence tomography
• "Quantum-optical coherence tomography" with classical light
• Polarization Coherence Theorem
• Classical analogues of two-photon quantum interference
• Generation of tunable entanglement and violation of a Bell-like inequality between different degrees of freedom of a single photon
• Classical Realization of Dispersion Cancellation by Time-Reversal Method