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Qudit Quantum State Tomography

Thew, Robert; Nemoto, Kae; White, Andrew G.; Munro, William J.

HPL-2002-36

Keyword(s): charactersation of entanglement; entanglement manipulation; mixed states

Abstract: Recently quantum tomography has been proposed as a fundamental tool for prototyping a few qubit quantum device. It allows the complete reconstruction of the state produced from a given input into the device. From this reconstructed density matrix, relevant quantum information quantities such as the degree of entanglement and entropy can be calculated. Generally orthogonal measurements have been discussed for this tomographic reconstruction. In this paper, we extend the tomographic reconstruction technique to two new regimes. First we show how non-orthogonal measurement allow the reconstruction of the state of the system provided the measurements span the hilbert space. We then detail how quantum state tomography can be performed for multi qudits with a specific example illustrating how to achieve this in one and two qutrit systems. Notes: Robert Thew & Andrew G. White, Center for Quantum Computing Technology, The University of Queensland, QLD 4072 Brisbane, Australia. Kae Nemoto, School of Informatics, Dean Street, University of Wales, Bangor, LL57 1UT, UK

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