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dc.contributor.authorMoyano Fernández, Julio José
dc.contributor.authorGarcía-Escartín, Juan Carlos
dc.description.abstractWe study the evolution of the quantum state of n photons in m different modes when they go through 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.ca_CA
dc.description.sponsorShipThe first author has been partially supported by the Spanish Government Ministerio de Economía y Competitividad (MINECO), grant MTM2012-36917-C03-03. The second author has been funded by grant TEC2015-69665-R (MINECO/FEDER, UE).ca_CA
dc.format.extent5 p.ca_CA
dc.relation.isPartOfOptics Communications 382 (2017) 237–240ca_CA
dc.rightsCopyright 2016 Elsevier B.V. All rights reserved.ca_CA
dc.subjectQuantum opticsca_CA
dc.subjectLinear optics multiportsca_CA
dc.subjectNo-go theoremsca_CA
dc.titleLinear optics only allows every possible quantum operation for one photon or one portca_CA

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