This section focuses on the group theory that supports the hidden-subgroup algorithms, the quantum Fourier transform, and the stabilizer formalism of Chapter IV.
Use the sequence below as the local map for this section.
Sequence
- 01. Groups, Subgroups, and Cosets
- 02. Homomorphisms and Quotient Groups
- 03. Abelian and Cyclic Groups
- 04. Representations and Characters
- 05. Fourier Analysis over Finite Groups
- 06. The Pauli and Clifford Groups
- 07. Lie Groups and Lie Algebras (SU(2) and SO(3))
- 08. Haar Measure and Unitary Designs
- 09. The Weyl-Heisenberg Group and Qudit Paulis