Phase-Subtractive Interference and Noise-Resistant Quantum Imaging with Two Undetected Photons
Abstract
We present a quantum interference phenomenon in which four-photon quantum states generated by two independent sources are used to create a two-photon interference pattern without detecting two of the photons. Contrary to the common perception, the interference pattern can be made fully independent of phases acquired by the photons detected to construct it. However, it still contains information about spatially dependent phases acquired by the two undetected photons. This phenomenon can also be observed with fermionic particles. We show that the phenomenon can be applied to develop an interferometric, quantum phase imaging technique that is immune to uncontrollable phase fluctuations in the interferometer and allows image acquisition without detecting the photons illuminating the object.
Keywords
Cite
@article{arxiv.2406.05656,
title = {Phase-Subtractive Interference and Noise-Resistant Quantum Imaging with Two Undetected Photons},
author = {Chandler Tarrant and Mayukh Lahiri},
journal= {arXiv preprint arXiv:2406.05656},
year = {2025}
}
Comments
Revised to enhance the communication of results via reworking of the text structure and inclusion of one new figure. Added additional material (Secs. II, IV, IX) to Supplementary for completeness. The main results of the work remain unchanged. Main text: 6 pages, 3 figures. Supplementary: 7 pages, 4 figures