Metrics On Unitary Matrices, Bounds On Eigenvalues Of Product Of Unitary Matrices, And Measures Of Non-commutativity Between Two Unitary Matrices
H. F. Chau · arXiv (Cornell University) · 2010
By studying the minimum resources required to perform a unitary transformation, families of metrics and pseudo-metrics on unitary matrices that are closely related to a recently reported quantum speed limit by the author are found. Interestingly, this family of metrics can be naturally converted into useful indicators of the degree of non-commutativity between two unitary matrices.