abstract

• A method to construct all representations of finite dimensional unitary matrices as the product of Householder reflections is given. By arbitrarily severing the state space into orthogonal subspaces, the method may, e.g., identify the entangling and single-component quantum operations that are required in the engineering of quantum states of composite (multipartite) systems. Earlier constructions are shown to be extreme cases of the unifying scheme that is presented here. © 2010 American Institute of Physics.

authors

• Urías Hermosillo Jesús

publication date

• 2010-01-01

published in

• Journal of Mathematical Physics  Journal

Digital Object Identifier (DOI)

• 10.1063/1.3451111

start page

end page

volume

• 51

issue

• 7