What's Next?

What's Next

You have implemented the core techniques of advanced quantum computing. Here are natural next steps:

  • Shor's Algorithm — Use the QFT and phase estimation you built to factor integers in polynomial time.
  • Quantum Error Correction — Protect logical qubits with the Shor code, Steane code, or surface codes.
  • Real Hardware — Run circuits on IBM Quantum (free tier) using Qiskit, or on Google's devices via Cirq.
  • Quantum Machine Learning — Combine variational circuits with classical gradients using PennyLane.

Frameworks and Libraries

  • Qiskit — IBM's open-source quantum SDK. Most widely used, best hardware access.
  • Cirq — Google's framework, excellent for NISQ algorithms.
  • PennyLane — Differentiable quantum programming for QML.
  • Strawberry Fields — Photonic quantum computing from Xanadu.

Further Reading

  • Quantum Computation and Quantum Information by Nielsen & Chuang — the definitive textbook.
  • An Introduction to Quantum Computing by Kaye, Laflamme & Mosca — more concise and accessible.
  • Qiskit Textbook — Free, interactive, with real hardware exercises.
  • PennyLane Demos — Hands-on variational algorithm tutorials.
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