∑ | Quantum Computing
Mathematical reference

Formula Atlas

A concise reference to the mathematical structures used throughout the course.

The quantum computing landscape

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Complex numbers and probability amplitudes

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Vectors, matrices and Hilbert spaces

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Single-qubit states and the Bloch sphere

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Quantum gates and circuit composition

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Tensor products and entanglement

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Measurement and information

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Interference and phase kickback

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Deutsch–Jozsa algorithm

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Bernstein–Vazirani algorithm

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Quantum Fourier transform

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Quantum phase estimation

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Grover search and amplitude amplification

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Quantum teleportation

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Superdense coding

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Shor and order finding

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Quantum noise and density matrices

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Quantum error correction

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Variational quantum algorithms

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Quantum complexity and realistic advantage

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