Quantum Optical Construction of Generalized Pauli and Walsh-Hadamard Matrices in Three Level Systems

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A set of generators of generalized Pauli matrices play a crucial role in quantum computation based on n level systems of an atom. In this paper we show how to construct them by making use of Rabi oscillations. We also construct the generalized Walsh-Hadamard matrix in the case of three level systems and present some related problems.
Latex File, 47 pages. This is written in a textbook style which may be readable to graduate students

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