The effect of coherence between two photons on quantum random walk

Abstract

Quantum random walk with two controlled coherent photon is discussed. Two polarization entangled photons with completely coherence are generated by spontaneous parametric down-conversion (SPDC), and then a half wave plate (HWP) is used to perform Hadamard operation for controlling coherence between two photons through rotating the linear polarization direction of one photon. Quantum random walk with two photons from coherence to incoherence transition is explored. The effect of coherence between two photons on the quantum random walk is investigated through two photons controlled from coherence to incoherence transition.