Bounds and optimisation of orbital angular momentum bandwidths within parametric down-conversion systems
F. M. Miatto, D. Giovannini, J. Romero, S. Franke-Arnold, S. M., Barnett, M. J. Padgett

TL;DR
This paper derives a simple relationship linking the generation and detection parameters to the measurable entangled orbital angular momentum modes in parametric down-conversion systems, aiding optimization of high-dimensional quantum states.
Contribution
It provides a novel analytical relationship that connects generation and detection parameters to measured modes in orbital angular momentum entanglement.
Findings
Derived a formula relating generated and measured modes
Identified limits on orbital angular momentum bandwidths
Facilitated optimization of entangled state measurements
Abstract
The measurement of high-dimensional entangled states of orbital angular momentum prepared by spontaneous parametric down-conversion can be considered in two separate stages: a generation stage and a detection stage. Given a certain number of generated modes, the number of measured modes is determined by the measurement apparatus. We derive a simple relationship between the generation and detection parameters and the number of measured entangled modes.
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