QUANTUM MODELING AND LINEAR ALGEBRA
Abstract
This paper presents a concise yet comprehensive introduction to the mathematical foundations of quantum algorithms. Without assuming extensive prior knowledge, the work maintains full mathematical rigour while avoiding the interpretational and philosophical challenges commonly associated with quantum mechanics.
The central objetive is to highlight the fundamental role of linear algebra in the design, formulation and operation of quantum algorithms. The paper provides a structured overview of the most essential and widely studied quantum algorithms, offering a clear conceptual bridge between abstract mathematical formalism and practical algorithmic implementation.
Additionally, this work summarises key insights from an upcoming book by the author, extending and contextualising the theoretical framework that underpins modern quantum computation.
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