A Modern Introduction to Cardano and Ferrari Formulas in the Algebraic Equations

Abstract

We give a modern approach to the famous Cardano and Ferrari formulas in the algebraic equations with three and four degrees. Namely, we reconstruct these formulas from the point of view of superposition principle in quantum computation based on three and four level systems which are being developed by the author. We also present a problem on some relation between Galois theory and Qudit theory.

Latex File, 14 pages. Appendix (: Euler Formula) added. This note is based on my lecture given at Yokohama City University and is recommended as a (thin) textbook in some undergraduate course

References in corpus (3)

• Exchange Gate on the Qudit Space and Fock Space
• Quantum Optical Construction of Generalized Pauli and Walsh-Hadamard Matrices in Three Level Systems
• How To Treat An N-Level System : A Proposal

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• A Generalization of the Preceding Paper ``A Rabi Oscillation in Four and Five Level Systems"