Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
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Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipeFecha de publicación
2019-08-02Editor
American Physical SocietyCita bibliográfica
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.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.022301Versión
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Resumen
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. [-]
Proyecto de investigación
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)Derechos de acceso
© 2019 American Physical Society
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