Quantum Aberrations: Entangling Photons with Zernike Polynomials
- URL: http://arxiv.org/abs/2504.15765v2
- Date: Tue, 27 May 2025 10:50:19 GMT
- Title: Quantum Aberrations: Entangling Photons with Zernike Polynomials
- Authors: Hakob Avetisyan, Gor Nikoghosyan,
- Abstract summary: We introduce Zernikes as a novel degree of freedom for encoding quantum information in the spatial structure of photons.<n>We develop a framework for generating, manipulating, and detecting photons in Zernike modes, and propose methods for realizing single-photon and two-photon Zernike wave packets.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-sa/4.0/
- Abstract: We introduce Zernike polynomials as a novel degree of freedom for encoding quantum information in the spatial structure of photons. Building on their orthogonality and completeness over the unit disc, we develop a framework for generating, manipulating, and detecting photons in Zernike modes, and propose methods for realizing single-photon and two-photon Zernike wave packets. We demonstrate analytically that two-photon states generated via spontaneous parametric down- conversion exhibit mode entanglement in the Zernike basis, with correlations arising from selection rules enforced by Clebsch-Gordan coefficients. Our results open a new pathway for structured spatial entanglement, complementary to schemes based on Laguerre-Gaussian or Hermite-Gaussian modes, and suggest practical experimental implementations based on holographic modulation and optical Fourier techniques.
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