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

Kazuyuki Fujii
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Abstract

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.

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Kazuyuki Fujii. 2003-09-18. Quantum Optical Construction of Generalized Pauli and Walsh-Hadamard Matrices in Three Level Systems. https://arxiv.org/abs/quant-ph/0309132

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