Operator theory

Related lectures (31)

Explores the spectral theory of non-bounded operators and the importance of closed operators for spectral decomposition.

Explores discrete histogram processing and spatial operators for image manipulation and noise reduction.

Covers Shor's factoring algorithm and the link between order finding and factoring.

Explains shape change, polar decomposition, and strain tensor interpretation.

Explains the Quantum Phase Estimation (QPE) algorithm and its complexity using two registers and SWAP gates.

Covers the stabilizer formalism and the concept of stabilizer codes.

Covers the definitions and properties of complex numbers, including conjugate and modulus.

Explores the Laplacian, Riemannian metric, and invariant operators in hyperbolic surfaces.

Covers matrix calculations, basis change, field extensions, complex numbers modulus, and polar decomposition.

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