Unitary group

Related lectures (29)

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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.