Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
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Título
Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipeFecha de publicación
2019Editor
American Physical SocietyISSN
2469-9926; 2469-9934Cita 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, vol. 100, no 2, p. 022301.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.022301Versión
info:eu-repo/semantics/publishedVersionResumen
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 ... [+]
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−1
m,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. [-]
Publicado en
Phys. Rev. A 100, 022301, 2019.Proyecto de investigación
TEC2015-69665-R, MINECO-FEDER Grant No. MTM2017-84851- C2-2-P, UJI-B2018- 35, PGC2018-096446-B-C22, P1-1B2015-02 and UJI-B2018-10Derechos de acceso
©2019 American Physical Society
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