High-dimensional two-photon interference effects in spatial modes
Markus Hiekkam\"aki, Robert Fickler

TL;DR
This paper explores two-photon interference effects in high-dimensional spatial modes, demonstrating advanced quantum interference phenomena and potential for stable, complex quantum optical networks without interferometric stability requirements.
Contribution
It introduces a method to observe two-photon interference in high-dimensional spatial modes within a single beam-path, extending quantum interference control to multi-dimensional modes.
Findings
Demonstrated Hong-Ou-Mandel interference in spatial modes
Extended interference effects to three and four-dimensional modes
Showed stability advantages of spatial mode operations
Abstract
Two-photon interference is a fundamental quantum optics effect with numerous applications in quantum information science. Here, we study two-photon interference in multiple transverse-spatial modes along a single beam-path. Besides implementing the analogue of the Hong-Ou-Mandel interference using a two-dimensional spatial-mode splitter, we extend the scheme to observe coalescence and anti-coalescence in different three and four-dimensional spatial-mode multiports. The operation within spatial modes, along a single beam-path, lifts the requirement for interferometric stability and opens up new pathways of implementing linear optical networks for complex quantum information tasks.
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