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Advanced-Retarded Differential Equations in Quantum Photonic Systems.


ABSTRACT: We propose the realization of photonic circuits whose dynamics is governed by advanced-retarded differential equations. Beyond their mathematical interest, these photonic configurations enable the implementation of quantum feedback and feedforward without requiring any intermediate measurement. We show how this protocol can be applied to implement interesting delay effects in the quantum regime, as well as in the classical limit. Our results elucidate the potential of the protocol as a promising route towards integrated quantum control systems on a chip.

SUBMITTER: Alvarez-Rodriguez U 

PROVIDER: S-EPMC5322327 | biostudies-literature | 2017 Feb

REPOSITORIES: biostudies-literature

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Advanced-Retarded Differential Equations in Quantum Photonic Systems.

Alvarez-Rodriguez Unai U   Perez-Leija Armando A   Egusquiza Iñigo L IL   Gräfe Markus M   Sanz Mikel M   Lamata Lucas L   Szameit Alexander A   Solano Enrique E  

Scientific reports 20170223


We propose the realization of photonic circuits whose dynamics is governed by advanced-retarded differential equations. Beyond their mathematical interest, these photonic configurations enable the implementation of quantum feedback and feedforward without requiring any intermediate measurement. We show how this protocol can be applied to implement interesting delay effects in the quantum regime, as well as in the classical limit. Our results elucidate the potential of the protocol as a promising  ...[more]

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