Lectures related to Unitary group

Covers the norm of a matrix, operator, singular values, and unitary matrices in linear algebra.

Covers the basics of linear algebra, including matrix operations and singular value decomposition.

Covers the principles of quantum physics, focusing on tensor product spaces and entangled vectors.

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

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

Explores Calderbank-Steane-Shor codes, classical codes, error correction, CSS codes, and protecting states from errors.

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

Covers the theory of time inversion operator and Lie groups, discussing the consequences of the Wigner theorem.

Explores Sobolev spaces, unitary groups, Laplacian properties, and translation groups in L^2.

Covers the proof of unitary group uniqueness and spectral types.

Covers the representation theory of groups, focusing on actions and invariants.

Covers Simon's quantum algorithm, unitary operations, and the Simon problem.

Explores quantum circuit modeling, approximations, unitary matrices, and measurement operations.

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

Explores the theory of bounded operators on Hilbert space, including adjoint properties and self-adjointness.

Introduces the Heisenberg groups, covering representation theory and unique properties.

Covers the concept of orthogonal groups in finite-dimensional vector spaces and their special properties.

Covers the quantization of topological operators and Ising models on square lattices.

Explores quantum bits, axioms, examples, Shor algorithm, measurements, Hilbert space, and dynamics.

Explores the quantum circuit model of computation, focusing on unitary gates and multi-controlled gates.