Spin Hamilton operators, symmetry breaking, energy level crossing and entanglement
- Steeb, Willi-Hans, Hardy, Yorick, De Greef, Jacqueline
- Authors: Steeb, Willi-Hans , Hardy, Yorick , De Greef, Jacqueline
- Date: 2012-01-27
- Subjects: Hilbert spaces , Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5975 , http://hdl.handle.net/10210/8440
- Description: © Willi-Hans Steeb, Yorick Hardy and Jacqueline de Greef, 2012 Available online: http://arxiv.org/abs/1110.4204v2 , We study finite-dimensional product Hilbert spaces, coupled spin systems, entanglement and energy level crossing. The Hamilton operators are based on the Pauli group. We show that swapping the interacting term can lead from unentangled eigenstates to entangled eigenstates and from an energy spectrum with energy level crossing to avoided energy level crossing.
- Full Text:
- Authors: Steeb, Willi-Hans , Hardy, Yorick , De Greef, Jacqueline
- Date: 2012-01-27
- Subjects: Hilbert spaces , Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5975 , http://hdl.handle.net/10210/8440
- Description: © Willi-Hans Steeb, Yorick Hardy and Jacqueline de Greef, 2012 Available online: http://arxiv.org/abs/1110.4204v2 , We study finite-dimensional product Hilbert spaces, coupled spin systems, entanglement and energy level crossing. The Hamilton operators are based on the Pauli group. We show that swapping the interacting term can lead from unentangled eigenstates to entangled eigenstates and from an energy spectrum with energy level crossing to avoided energy level crossing.
- Full Text:
A sequence of quantum gates
- Steeb, Willi-Hans, Hardy, Yorick
- 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.
- Full Text:
- 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.
- Full Text:
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