When Bits Become Waves

A bit is a choice between two states. A qubit is a wave that has not yet chosen. When Bits Become Waves is a rigorous, self-contained introduction to quantum computing - the mathematics, the mechanics, and the algorithms - written for readers who are willing to work through the derivations and want to actually understand the subject. Starting from bits and Boolean logic, the book builds the full mathematical toolkit - complex numbers, linear algebra, probability - before introducing the qubit, superposition, entanglement, and measurement. It then works through the algorithmic canon: Deutsch-Jozsa, Bernstein-Vazirani, Simon, the Quantum Fourier Transform, Shor's factoring algorithm, and Grover's search. Later chapters cover decoherence, error correction, the NISQ era, hardware platforms, and the honest limits of what quantum computers can and cannot do. No skipped steps. No hand-waving. No hype.