Qudit quantum-state tomography

Recently quantum tomography has been proposed as a fundamental tool for\nprototyping a few qubit quantum device. It allows the complete reconstruction\nof the state produced from a given input into the device. From this\nreconstructed density matrix, relevant quantum information quantities such as\nthe degree of entanglement and entropy can be calculated. Generally orthogonal\nmeasurements have been discussed for this tomographic reconstruction. In this\npaper, we extend the tomographic reconstruction technique to two new regimes.\nFirst we show how non-orthogonal measurement allow the reconstruction of the\nstate of the system provided the measurements span the Hilbert space. We then\ndetail how quantum state tomography can be performed for multi qudits with a\nspecific example illustrating how to achieve this in one and two qutrit\nsystems.\n