Mathematics

A mathematical perspective on quantum computing, from its underlying structures to the theory of quantum algorithms

2 articlesContributorsAaron Kim

2026.09.28002

Fundamental Mathematics of Quantum Computing III

This section introduces the mathematical foundations of quantum gates and qubit transformations. It covers Pauli operators, phase and basis changes, gate composition, tensor-product operations, and CNOT, culminating in the construction of a Bell state and the transition to entanglement.

KimMathematics

Introductory14 min

2026.09.11001

Fundamental Mathematics of Quantum Computing I

From Hilbert spaces and operators to projective state spaces, the Bloch sphere, and SU(2).

KimMathematics

Introductory10 min

Fundamental Mathematics of Quantum Computing III

Fundamental Mathematics of Quantum Computing I

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