Concept
Hilbert cube
Related lectures (80)
Fourier Series: Complex Case
Covers the calculation of Fourier coefficients for periodic complex signals and the concept of a complete orthonormal system.
Signal Representations
Covers signal representations in Hilbert Spaces and the importance of orthogonality.
Quantum States and Operators
Covers the description of states in quantum mechanics and their relation to probability, expectation values, and the Schrödinger equation.
Quantization: Topological Operators
Covers the quantization of topological operators and Ising models on square lattices.
Signals & Systems I: Cross-Correlation and Convolution
Explores cross-correlation, signal detection, Hilbert spaces, orthogonal approximation, and image compression using DCT.
Stochastic Integral: Isometry Continuity
Covers stochastic integrals, emphasizing isometry and continuity properties in martingales and different spaces.
Polarisation Qubit: Thought Experiments
Explores thought experiments with polarisation qubits of photons and the concept of superposition in Hilbert space.
Orthonormal Sequences and Hilbert Spaces
Explores orthonormal sequences, Bessel's inequality, and unique decompositions in Hilbert spaces.
Quantum Information Principles
Covers the mathematical principles of quantum physics, including Hilbert spaces and quantum bits.
Quantum circuit model of computation
Covers the Cincent Model of Deutsch for Quantum Computation, focusing on input representation, Hilbert space, and unitary evolution.