2010/11/11 by M. A. Solís-Prosser, Leonardo Neves, L. Neves
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Algorithm #Computer science #Dimension (graph theory) #Eigenvalues and eigenvectors #Electrical engineering #Electronic engineering #Engineering #Implementation #Mathematics #Measure (data warehouse) #Observable #Operator (biology) #Orbital Angular Momentum in Optics #Photonics #Physics #Position (finance) #Quantum #Quantum Information and Cryptography #Quantum mechanics #Qubit #Random lasers and scattering media #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.82.055801
published as Physical Review A 82, 055801 (2010) · 5 pages, 2 figures. Published version
openalex publication_date 2010/11/11 · arxiv created 2010/11/15 · arxiv updated 2010/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a measurement strategy which can, probabilistically, reproduce the statistics of any observable for spatially encoded photonic qubits. It comprises the implementation of a two-outcome positive operator-valued measure followed by a detection in a fixed transverse position, making the displacement of the detection system unnecessary, unlike previous methods. This strategy generalizes a scheme recently demonstrated by one of us and co-workers, restricted to measurement of observables with equatorial eigenvectors only. The method presented here can be implemented with the current technology of programmable multipixel liquid-crystal displays. In addition, it can be straightforwardly extended to high-dimensional qudits and may be a valuable tool in optical implementations of quantum information protocols with spatial qubits and qudits.