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Boolean Algebra and Its Applications

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Fundamentals of Quantum Programming in IBM's Quantum Computers

Part of the book series: Studies in Big Data ((SBD,volume 81))

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Abstract

Using a field of mathematics called modern algebra designs and maintains classical computers. Over a hundred years, algebraists have studied for mathematical systems and they call them as Boolean algebras. The name Boolean algebra honors a fascinating English mathematician, George Boole because in 1854 he published a classic book, An Investigation of the Laws of Thought, on which Are Founded Mathematical Theories of Logic and Probabilities. Boole that has stated objective (intention) was to complete a mathematical analysis of logic. Boole’s investigation has enlightened the calculus of propositions and algebra of sets. In this book, we designate the algebra now used in the design and maintenance of quantum logical circuitry as Boolean algebra.

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Correspondence to Weng-Long Chang .

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Chang, WL., Vasilakos, A.V. (2021). Boolean Algebra and Its Applications. In: Fundamentals of Quantum Programming in IBM's Quantum Computers. Studies in Big Data, vol 81. Springer, Cham. https://doi.org/10.1007/978-3-030-63583-1_2

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