Quantum-state tomography of complex multimode fields using array detectors

Abstract

We demonstrate that it is possible to use the balanced homodyning with array detectors to measure the quantum state of correlated two-mode signal field. We show the applicability of the method to fields with complex mode functions, thus generalizing the work of Beck(Phys. Rev. Lett. 84, 5748 (2000)) in several important ways. We further establish that, under suitable conditions, array detector measurements from one of the two ouputs is sufficient to determine the quantum state of signal. We show the power of the method by reconstructing a truncated Perelomov state which exhibits complicated structure in the joint probability density for the quadratures.