RT info:eu-repo/semantics/article T1 Linear optics only allows every possible quantum operation for one photon or one port A1 Moyano Fernández, Julio José A1 García Escartín, Juan Carlos K1 Física cuántica K1 Física matemática AB We study the evolution of the quantum state of "n" photons in "m" different modes when they gothrough a lossless linear optical system. We show that there are quantum evolution operators "U" that cannot be built with linear optics alone unless the number of photons or the number of modes is equal to one. The evolution for single photons can be controlled with the known realization of any unitary proved by Reck, Zeilinger, Bernstein and Bertani. The evolution for a single mode corresponds to the trivial evolution in a phase shifter. We analyze these two cases and prove that any other combination of the number of photons and modes produces a Hilbert state too large for the linear optics system to give any desired evolution. PB Elsevier SN 0030-4018 YR 2017 FD 2017 LK http://uvadoc.uva.es/handle/10324/35909 UL http://uvadoc.uva.es/handle/10324/35909 LA eng NO Optics Communications, 2017, vol. 382, p. 237-240 NO Producción Científica DS UVaDOC RD 18-may-2024