Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
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Title
Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipeDate
2019-08-02Publisher
American Physical SocietyBibliographic citation
GARCIA-ESCARTIN, Juan Carlos; GIMENO, Vicent; MOYANO-FERNÁNDEZ, Julio José. Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe. Physical Review A, 2019, 100.2: 022301.Type
info:eu-repo/semantics/articlePublisher version
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.022301Version
info:eu-repo/semantics/submittedVersionSubject
Abstract
The evolution of quantum light through linear optical devices can be described by the scattering matrix S of the system. For linear optical systems with m possible modes, the evolution of n input photons is given by ... [+]
The evolution of quantum light through linear optical devices can be described by the scattering matrix S of the system. For linear optical systems with m possible modes, the evolution of n input photons is given by a unitary matrix U=φm,M(S), derived from a known homomorphism, φm,M, which depends on the size of the resulting Hilbert space of the possible photon states, M. We present a method to decide whether a given unitary evolution U for n photons in m modes can be achieved with linear optics or not and the inverse transformation φ−1m,M when the transformation can be implemented. Together with previous results, the method can be used to find a simple optical system which implements any quantum operation within the reach of linear optics. The results come from studying the adjoint map between the Lie algebras corresponding to the Lie groups of the relevant unitary matrices. [-]
Investigation project
Spanish Ministerio deEconomía y Competitividad, (Project No. TEC2015-69665-R, Grant No. MTM2017-84851-C2-2-P, Grant No. PGC2018-096446-B-C22 (MINECO/FEDER) ; Universitat Jaume I (Grants No. UJI-B2018-35, No. P1-1B2015-02 and UJI-B2018-10)Rights
© 2019 American Physical Society
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