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The Japan Society of Applied Physics

Interferometric measurement of a biphoton state with continuous-variables by homodyne detection

Yashuai Han, Daohua Wu, Katsuyuki Kasai, Masayoshi Watanabe, Yun Zhang

Published Jan 25, 2019• 0 citations
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Abstract We report the measurement of wave function for a biphoton state with continuous variables (CV) by homodyne detection. The biphoton interference occurs on an optical parametric oscillator, which is seeded with a coherent state. A set of second-order correlation function values for the output field are recorded when the intensity coherent state is varied. The wave function, which includes both magnitude and argument for a complex parameter of the biphoton state, is reconstructed using the least square estimation method. This may introduce another approach to characterizing a biphoton state in the regime of CV.
Graphical rule, describing that any single-mode homodyne detection turns a given continuous-variable (CV) graph state into a new one, is presented. Employing two simple graphical rules---local complement operation and vertex deletion (single quadrature-amplitude $\mathrm{x\ifmmode \hat{}\else \^{}\fi{}}$ measurement)---the graphical rule for any single-mode quadrature component measurement can be obtained. The shape of CV weighted graph state may be designed and constructed easily from a given larger graph state by applying this graphical rule.