Linear optical systems acting on photon number states produce many interesting evolutions, but cannot give all the allowed quantum operations on the input state. Using
Toponogov’s theorem from differential geometry, we propose an iterative method
that, for any arbitrary quantum operator U acting on n photons in m modes, returns an
operator Ũ which can be implemented with linear optics. The approximation method
is locally optimal and converges. The resulting operator Ũ can be translated into an
experimental optical setup using previous results.
Solange nicht anders angezeigt, wird die Lizenz wie folgt beschrieben: Atribución 4.0 Internacional