Universal entanglement loss induced by angular uncertainty
Giacomo Sorelli, Vyacheslav N Shatokhin, Andreas Buchleitner · Journal of Optics · 2020
Abstract We study the diffraction of two maximally entangled qubits encoded into spatial modes of light with orbital angular momenta ±ℏ l 0 , on angular apertures. Exploiting the uncertainty relation between angular position and momentum, we quantify the diffraction-induced entanglement loss, for different l 0 , as a function of the angular uncertainty Δ ϕ induced by the apertures. We demonstrate that the degradation of entanglement follows a universal law parametrised by the product l 0 Δ ϕ alone.