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arXiv:2506.03653

Quantum field theory and inverse problems: Imaging with Entangled Photons

Matti J. Lassas, Medet Nursultanov, Lauri Oksanen, John C. Schotland

Published Jun 4, 2025• 0 citations
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Abstract

We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to uniquely determine the density of atoms from measurements of the source to solution map for a system of nonlocal partial differential equations, which describe the scattering of a two-photon state from the atoms. The required measurements involve correlating the outputs of a point detector with an integrating detector, thereby exploiting information about the entanglement of the photons.

DOI
10.48550/arxiv.2506.03653

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