Householder factorizations of unitary matrices
Source: J. Math. Phys. 51, 072204 (2010); doi:10.1063/1.3451111
Published 21 July 2010
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
| History: | Received 15 February 2010; accepted 18 May 2010; published 21 July 2010 |
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http://link.aip.org/link/?JMAPAQ/51/072204/1 |
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