Introduction

Why Advanced Quantum Computing?

You know qubits, gates, and basic algorithms. Now it is time to go deeper.

This course covers the techniques that power real quantum algorithms: advanced single-qubit gates, multi-qubit operations, the quantum Fourier transform, quantum protocols, and variational hybrid methods. These are the building blocks of Shor's algorithm, quantum error correction, quantum chemistry simulation, and combinatorial optimization.

What You Will Build

Every lesson is hands-on. You implement the quantum operations directly as matrix math in Python — no simulator library, just NumPy. By the end you will have built:

  • Advanced gates — S, T, Rx/Ry/Rz, Toffoli, SWAP, controlled-phase
  • Quantum Fourier Transform — forward and inverse, from scratch
  • Quantum protocols — teleportation, superdense coding, Bell/CHSH inequality
  • Variational algorithms — VQE and QAOA for MaxCut

How This Course Works

Each lesson provides a short theory section with the math, then asks you to implement a single function. The expected output is printed to stdout and checked automatically.

What You Will Learn

This course contains 15 lessons organized into 4 chapters:

  1. Advanced Quantum Gates — S, T, rotation gates, Bloch sphere, Toffoli, SWAP, controlled-phase
  2. Quantum Fourier Transform — QFT, inverse QFT, and phase estimation
  3. Quantum Protocols — Teleportation, superdense coding, and Bell inequality
  4. Variational Quantum Computing — Pauli expectation values, VQE, and QAOA

Let's go deeper.

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