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Linear optical quantum Fredkin gate can be applied to quantum computing andquantum multi-user communication network. In the existing linear opticalscheme, two single photon detectors (SPDs) are used to heralding the success ofthe quantum Fredkin gate while they have no photon count. But analysis resultsshow that for non-perfect SPD the lower the detector efficiency, the higher theheralded success rate by this scheme. We propose an improved linear opticalquantum Fredkin gate by designing a new heralding scheme with an auxiliaryqubit and only one SPD, in which the higher the detection efficiency of theheralding detector, the higher the success rate of the gate. The new heraldingscheme can also work efficiently under non-ideal single photon source. Based onthis quantum Fredkin gate, large-scale quantum switching networks can be built.As an example, a quantum Benes network in which only one SPD is used is shown.

Heralded linear optical quantum Fredkin gate based on one auxiliary qubit and one single photon detector