Quantum Aberrations: Entangling Photons with Zernike Polynomials
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918162194235392 |
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| author | Avetisyan, Hakob Nikoghosyan, Gor |
| author_facet | Avetisyan, Hakob Nikoghosyan, Gor |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15765 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Aberrations: Entangling Photons with Zernike Polynomials Avetisyan, Hakob Nikoghosyan, Gor Quantum Physics 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. |
| title | Quantum Aberrations: Entangling Photons with Zernike Polynomials |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.15765 |