Hilbert space

Related lectures (31)

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Covers the spectral theorem, focusing on the second part and orthonormal sequences in a separable Hilbert space.

Explores thought experiments with polarisation qubits of photons and the concept of superposition in Hilbert space.

Explores the dual space of a Hilbert space and weak convergence, focusing on orthonormal bases and separable Hilbert spaces.

Explains the postulates of quantum mechanics, including system description, evolution, measurement, composite systems, and examples with qubits.

Explores Hilbert space, scalar product, geometry, bases, complex functions, and quantum mechanics applications.

Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.

Covers the formulation and interpretation of mechanical effects of light.

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

Covers the Cincent Model of Deutsch for Quantum Computation, focusing on input representation, Hilbert space, and unitary evolution.

Explores orthonormal bases in Hilbert spaces, discussing their properties and generation using the Gram-Schmidt method.