Parallelized projective measurements for spatial photonic qudits estimation
arXiv:2506.15820
Abstract
We present a quantum state tomography method that enables the reconstruction of \emph{arbitrary} dimensional quantum states encoded in the discretized transverse momentum of photons, by using \emph{only} experimental settings. To this end, we identify a family of bases with the property that the outcomes of a projective measurement are \emph{spatially multiplexed} on the interference pattern of the projected state. Using the proposed scheme we performed, as a proof-of-principle, an experimental reconstruction of dimensional states, for which a complete set of mutually unbiased bases does not exist. We obtained fidelity values above 0.97 for both pure and mixed states, reducing the number of experimental settings from to only .