RT info:eu-repo/semantics/article T1 Optimal approximation to unitary quantum operators with linear optics A1 García Escartín, Juan Carlos A1 Gimeno, Vicent A1 Moyano Fernández, Julio José K1 Optical implementations of quantum evolutions K1 Quantum optics K1 Toponogov’s Theorem K1 33 Ciencias Tecnológicas K1 12 Matemáticas K1 22 Física AB Linear optical systems acting on photon number states produce many interesting evolutions, but cannot give all the allowed quantum operations on the input state. UsingToponogov’s theorem from differential geometry, we propose an iterative methodthat, for any arbitrary quantum operator U acting on n photons in m modes, returns anoperator Ũ which can be implemented with linear optics. The approximation methodis locally optimal and converges. The resulting operator Ũ can be translated into anexperimental optical setup using previous results. PB Springer SN 1570-0755 YR 2021 FD 2021 LK https://uvadoc.uva.es/handle/10324/49050 UL https://uvadoc.uva.es/handle/10324/49050 LA eng NO Quantum Information Processing, 2021, vol. 20, n. 9, n art. 314, p. 1-18 NO Producción Científica DS UVaDOC RD 24-nov-2024