Special unitary group

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Related lectures (27)

Symmetries and Groups in Quantum Mechanics

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Lie Algebra: Representations

Explores Lie algebra representations, emphasizing SU(2) and traceless matrices, explained by Alfredo Glioti.

Signal Representations

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

Time Inversion Operator, Lie Group

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

Calderbank-Steane-Shor Codes

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

Principles of Quantum Physics

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

Lie Groups: SU(2) and SO(3)

Explores Lie groups SU(2) and SO(3), emphasizing their mathematical properties and significance in physics.

Quantum Field Theory: Exercises and Fundamental Vectors

Covers exercises on quantum field theory and fundamental vectors in group transformations.

Lie Groups: Structure and Translations

Explores Lie groups, translations, and invariance of states under transformations.

Simon Problem: Quantum Algorithm and Hilbert Space

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

Heisenberg Groups: Introduction

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

Unitary Group and Spectral Types

Covers the proof of unitary group uniqueness and spectral types.

Quantum Circuits: Models and Approximations

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

Quantum circuit model of computation

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

Irreducible Representations of Rotations Group

Explores irreducible representations of the rotations group and their mathematical properties.

Lie Groups: SU(2) and SO(3)

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Row-echelon and reduced row-echelon matrices

Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.

Force Detection: Micro/Nanomechanical Devices

Covers force detection in micro/nanomechanical devices and related fabrication aspects.

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McKay Correspondence and Coxeter Groups

Explores the McKay correspondence, Coxeter groups, and finite subgroups of SU(2) and SO(3, emphasizing odd order properties and root system constructions.

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