Quantum Notebook

Introduces the qubit as a spinning coin, building from single-qubit primitives and gates through hardware modalities to the strategic landscape of quantum computing.

Builds the algebra of multi-qubit states, entangling gates, Bell states, and protocols like teleportation that turn entanglement into a quantum resource.

Explores quantum algorithm primitives—oracles, phase kickback, amplitude amplification, and the quantum Fourier transform—then walks through canonical algorithms (Bernstein-Vazirani, Grover, Shor, HHL, VQE, QAOA) that achieve quantum speedup.

Builds the machinery of quantum error correction: stabilizer formalism, code distance, the surface code, magic-state distillation, and resource accounting for fault-tolerant quantum computers.

Explores quantum networking constraints imposed by the no-cloning theorem, photon loss, entanglement swapping, quantum repeaters, and quantum key distribution protocols for long-distance quantum communication.

Explores the hard mathematical problems behind post-quantum cryptography, the four NIST-standardised families (lattice, hash, code, isogeny), and the strategic migration calculus for defending classical secrets from quantum threats.

Explores the quantum compilation stack from high-level algorithms to pulse schedules, covering gate decomposition, synthesis, layout routing, and verification techniques that bridge algorithm design to hardware execution.

Explores quantum sensing as a near-term commercial advantage, covering atomic clocks, magnetometers, gravimeters, and the fundamental limits of phase estimation from standard quantum limit to Heisenberg limit.

Examines unproven assumptions, oracle-relativised results, and empirical gaps underlying quantum advantage claims, grading the credibility of quantum algorithms and identifying where the field delivers real value versus hype.

Explores quantum-programming language design across Python DSLs, standalone languages, and research systems, examining how type systems and classical-quantum boundaries encode the constraints of no-cloning, measurement, and unitarity.

Surveys where quantum computing, sensing, networking, and cryptography have shipped, remain plausible, or remain aspirational, grading each industry separately and mapping how the 11 volumes interconnect.