The Quantum Fourier Transform
Understanding the Mathematical Bridge Between Classical Number Systems and Quantum Computing
You're about to explore one of quantum computing's most elegant and powerful algorithms—the Quantum Fourier Transform. This book bridges classical mathematics and quantum mechanics, revealing how ancient number theory concepts find new life in the quantum realm. You'll discover how the QFT transforms quantum states through superposition and entanglement, enabling breakthrough algorithms that outperform classical computation. Starting with foundational number systems and classical Fourier analysis, you'll build intuition before diving into quantum mechanics principles. Through clear explanations and visual representations, you'll understand how quantum circuits implement the QFT and why it's exponentially faster than classical methods. You'll explore its pivotal role in Shor's algorithm for factoring, quantum phase estimation, and emerging applications in cryptography and signal processing. Whether you're a graduate student, researcher, or computing professional with intermediate mathematical background, this book provides the rigorous yet accessible treatment you need. You'll gain both theoretical understanding and practical insight into implementation challenges, preparing you to work with quantum algorithms in research or industry. By the final page, you'll possess a deep comprehension of how the QFT revolutionizes computation through quantum principles.
Est. Length
269 pages (12 chapters)
Language
English
Publication date
Oct 31, 2025
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