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Spectrally uncorrelated biphoton state generated from the spontaneousnonlinear optical process is an important resource for quantum information.Currently such spectrally uncorrelated biphoton state can only be prepared fromlimited kinds of nonlinear media, thus limiting their wavelengths. In order toexplore wider wavelength range, here we theoretically study the generation ofspectrally uncorrelated biphoton state from 14 isomorphs of potassiumdihydrogen phosphate (KDP) crystal. We find that 11 crystals from the `KDPfamily' still maintain similar nonlinear optical properties of KDP, such asKDP, DKDP, ADP, DADP, ADA, DADA, RDA, DRDA, RDP, DRDP and KDA, which satisfy 3kinds of the group-velocity matching conditions for spectrally uncorrelatedbiphoton state generation from near-infrared to telecom wavelengths. Based onthe uncorrelated biphoton state, we investigate the generation of heraldedpure-state single photon by detecting one member of the biphoton state toherald the output of the other. The purity of the heralded single photon is ashigh as 0.98 without using a narrow-band filter; the Hong-Ou-Mandelinterference from independent sources can also achieve a visibility of 98%.This study may provide more and better single-photon sources for quantuminformation processing at near-infrared and telecom wavelengths.

Theoretical investigation of a spectrally pure-state generation from isomorphs of KDP crystal at near-infrared and telecom wavelengths