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Efficient Quantum State Tomography for Quantum Information Processing using a two-dimensional Fourier Transform Technique

Ranabir Das, T. S. Mahesh, Anil Kumar

quant-pharXiv:quant-ph/0212116

Abstract

A new method of quantum state tomography for quantum information processing is described. The method based on two-dimensional Fourier transform technique involves detection of all the off-diagonal elements of the density matrix in a two-dimensional experiment. All the diagonal elements are detected in another one-dimensional experiment. The method is efficient and applicable to a wide range of spin systems. The proposed method is explained using a 2 qubit system and demonstrated by tomographing arbitrary complex density matrices of 2 and 4 qubit systems using simulations.

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