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We study both manipulation and detection of two-mode spatial quantum statesof light by means of a reconfigurable integrated device built in anelectro-optical material in a Kolgelnik-Schmidt configuration, which provideshigher error tolerance to fabrication defects and larger integration densitythan other current schemes. SU(2) transformations are implemented on guidedspatial modes in such a way that reconstruction of both the opticalfield-strength quantum probability distribution, via spatial two-mode homodynedetection, and the full optical field-strength wavefunction, by means of weakvalues, are carried out. This approach can easily be extended to spatial N-modeinput quantum states. Apart from its usefulness to characterize optical quantumstates, it is also emphasized its application to the measurement of theso-called generalized quantum polarization.

Detection of two-mode spatial quantum states of light by electro-optic integrated directional couplers