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We study theoretically the generation of photon pairs by spontaneousfour-wave mixing (SFWM) in photonic crystal optical fiber. We show that it ispossible to engineer two-photon states with specific spectral correlation(``entanglement'') properties suitable for quantum information processingapplications. We focus on the case exhibiting no spectral correlations in thetwo-photon component of the state, which we call factorability, and whichallows heralding of single-photon pure-state wave packets without the need forspectral post filtering. We show that spontaneous four wave mixing exhibits aremarkable flexibility, permitting a wider class of two-photon states,including ultra-broadband, highly-anticorrelated states.

Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber