Wavefront design for improved performance by entangled systems

James F. Smith III

doi:10.1117/12.2556220

24 April 2020 Wavefront design for improved performance by entangled systems

James F. Smith III

Proceedings Volume 11391, Quantum Information Science, Sensing, and Computation XII; 113910D (2020) https://doi.org/10.1117/12.2556220
Event: SPIE Defense + Commercial Sensing, 2020, Online Only

Abstract

Wavefronts for single and multiple photons are derived and combined with quantum hyper-entanglement, multiphoton entanglement, and network properties. Each node of the network will transmit at least one signal and one ancilla photon in a hyper-entangled state. Parameters used for hyper-entanglement will include photon polarization, energy-time, orbital angular momentum (OAM), radial quantum number, etc. as well as up to 12 parameters characterizing the wavefront properties. These parameters arise from using Lie algebra techniques to solve the paraxial wave equation. Eigenfunctions of operators associated with each 2D paraxial wave equation will be determined each being a function of up to six parameters. The resulting wavefronts will be shown in some cases to be propagation invariant and have the self-healing property. The free parameters of the derived wavefront will offer a programmable wavefront that will permit better imaging around obstacles and reduced propagation loss. Unlike the results found in the literature the free parameters will permit photonic trajectories to be programmed for better performance. Parabolic trajectories, i.e. ones with quadratic terms will emerge as well as those with cubic or higher degree terms. This will further facilitate imaging around obstacles. The same wavefront or combinations of wavefronts can be applied to multiple signal photons to combine hyper-entanglement with multiphoton entanglement offering additional performance improvements. Wavefront engineering can be applied to a single ancilla or multiple ancilla photons. Enhanced superdense coding will be considered. Measures of effectiveness (MOEs) such as the SNR, measurement time, resolution measures, and Holevo bound will be derived or provided.

Conference Presentation

Citation Download Citation

James F. Smith III "Wavefront design for improved performance by entangled systems", Proc. SPIE 11391, Quantum Information Science, Sensing, and Computation XII, 113910D (24 April 2020); https://doi.org/10.1117/12.2556220

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