Quantum-state tomography of complex multimode fields using array detectors- art. no. 063808

We demonstrate that it is possible to use the balanced homodyning with arra y detectors to measure the quantum state of a correlated two-mode signal fi eld. We show the applicability of the method to fields with complex mode fu nctions, thus generalizing the work of Beck [Phys. Rev. Lett. 84, 5748 (200 0)] in several important ways. We further establish that, under suitable co nditions, array detector measurements from one of the two outputs are suffi cient to determine the quantum state of signal. We show the power of the me thod by reconstructing a truncated Perelomov state, which exhibits complica ted structure in the joint probability density for the quadratures.