A sequence of quantum gates
- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2012-02-10
- Subjects: Hilbert spaces , Hamilton operators , Cayley transform , Quantum gates
- Type: Article
- Identifier: uj:5978 , http://hdl.handle.net/10210/8443
- Description: We study a sequence of quantum gates in finite-dimensional Hilbert spaces given by the normalized eigenvectors of the unitary operators. The corresponding sequence of the Hamilton operators is also given. From the Hamilton operators we construct another hierarchy of quantum gates via the Cayley transform.
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Cayley transform and the Kronecker product of Hermitian matrices
- Authors: Hardy, Yorick , Fošner, Ajda , Steeb, Willi-Hans
- Date: 2013-05-05
- Subjects: Hermitian matrices , Cayley transform , Kronecker product
- Type: Article
- Identifier: uj:5976 , http://hdl.handle.net/10210/8441
- Description: We consider the conditions under which the Cayley transform of the Kronecker product of two Hermitian matrices can be again presented as a Kronecker product of two matrices and, if so, if it is a product of the Cayley transforms of the two Hermitian matrices.
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