Toolbox for the design of $LiNbO_3$-based passive and active integrated quantum circuits. (arXiv:1704.03769v2 [quant-ph] UPDATED)

We present and discuss perspectives of current developments on advanced
quantum optical circuits monolithically integrated in the lithium niobate
platform. A set of basic components comprising photon pair sources based on
parametric down conversion (PDC), passive routing elements and active
electro-optically controllable switches and polarisation converters are
building blocks of a toolbox which is the basis for a broad range of diverse
quantum circuits. We review the state-of-the-art of these components and
provide models that properly describe their performance in quantum circuits. As
an example for applications of these models we discuss design issues for a
circuit providing on-chip two-photon interference. The circuit comprises a PDC
section for photon pair generation followed by an actively controllable
modified Mach-Zehnder structure for observing Hong-Ou-Mandel (HOM)
interference. The performance of such a chip is simulated theoretically by
taking even imperfections of the properties of the individual components into

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