The Canonical Coset Decomposition of Unitary Matrices Through Householder Transformations

Abstract

This paper reveals the relation between the canonical coset decomposition of unitary matrices and the corresponding decomposition via Householder reflections. These results can be used to parametrize unitary matrices via Householder reflections.

References in corpus (3)

• Engineering of arbitrary U(N) transformations by quantum Householder reflections
• An Explicit Computation of the Bures Metric Over the Space of $N$-Dimensional Density Matrices
• Calculation of the unitary part of the Bures measure for N-level quantum systems

Cited by in corpus (3)

• Bang-Bang Control Design for Quantum State Transfer based on Hyperspherical Coordinates and Optimal Time-energy Control
• Quantum circuit synthesis using Householder transformations
• Sum rules in multiphoton coincidence rates