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.

arXiv comment5 figures, 11 pages

References in corpus (25)

• 4 X 20 Gbit/s mode division multiplexing over free space using vector modes and a q-plate mode (de)multiplexer
• Classical entanglement in polarization metrology
• Bell-like inequality for spin-orbit separability of a classical laser beam
• Classically entangled optical beams for high-speed kinematic sensing
• Implementation of quantum search algorithm using classical Fourier optics
• Classical wave-optics analogy of quantum information processing
• Grover's search algorithm: An optical approach
• Quantum principal component analysis only achieves an exponential speedup because of its state preparation assumptions
• 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
• A classical analogue of entanglement
• Phase-conjugate optical coherence tomography
• State transfer based on classical nonseparability
• Revealing Hidden Coherence in Partially Coherent Light
• "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
• Nonlocal continuous variable correlations and violation of Bell's inequality for light beams with topological singularities
• Experimental violation of a Bell-like inequality with optical vortex beams
• Violation of Bell's inequality for phase singular beams
• Classical Realization of Dispersion Cancellation by Time-Reversal Method
• Experimental generation of amplitude squeezed vector beams
• A quantum-inspired Fredkin gate based on spatial modes of light