Lectures related to Unitary operator

Introduces Hilbert operators, covering their properties, C*-algebras, and the Fourier transform's unitarity.

Covers the introduction of scattering amplitude, optical theorem, and unitary operators in quantum mechanics.

Explores unitary operators for translation and transformation in quantum mechanics.

Explores the definition and properties of the functional calculus for self-adjoint and bounded operators.

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Explores the order finding algorithm, focusing on efficiently finding the period modulo N using Quantum Phase Estimation and C-U gates.

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.

Covers the spherical Hecke algebra and finite-dimensional unitary representations.

Covers common emitter, common base, and common collector configurations, with an example application of cascading circuits.

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Explores quantum state evolution, unitary operators, Heisenberg representation, spin precession, and observable averages.

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

Explores the Banach-Steinhaus theorem and the Closed Graph Theorem.

Introduces discrete symmetries, operators, and tetraquarks in quantum field theory.

Explores the postulates of Quantum Mechanics, including states, observables, composite systems, Schrödinger equation, and entangled states.

Introduces quantum physics postulates, measurement principles, and operator transformations between bases.

Introduces Hilbert space as a big place where quantum systems evolve with unitaries.

Covers the concepts of image and kernel in linear algebra, focusing on uniqueness and orthogonal projections.

Explores the adjoint of linear operators on inner product spaces, including self-adjoint, unitary, and normal operators.

Explores tensor spaces, unitary representations, and prime factorization in mathematical presentations.