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A math-first crash course in quantum mechanics for quantum computing: qubits, Pauli matrices, Bloch sphere, density matrices, and more.

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Basic Quantum Mechanics for Quantum Computing

This repository contains a concise, math-first crash course in basic quantum mechanics for quantum computing.
It is intended for students with a strong mathematics background but only introductory exposure to quantum physics.

📄 Content covered:

  • Refresher on Schrödinger equation and observables
  • Dirac notation and Hilbert spaces
  • Qubits as two-level systems
  • Tensor product structure of multi-qubits
  • Pauli matrices and operator algebra
  • Unitary evolution and quantum gates
  • Projective measurements
  • Bloch sphere representation of qubits
  • Density matrices (pure vs mixed states, partial trace, thermal states)

🎯 Exercises:
The PDF ends with a set of progressively harder exercises, ranging from normalization and Pauli algebra to Bloch sphere dynamics, density matrix purity, and partial trace.

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A math-first crash course in quantum mechanics for quantum computing: qubits, Pauli matrices, Bloch sphere, density matrices, and more.

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