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.
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- 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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An eigenvalue problem for a fermi system and lie algebras
- Steeb, Willi-Hans, Hardy, Yorick
- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2013-04-15
- Subjects: Schrodinger equation , Eigenvalues , Lie algebras , Hamilton operators , Fermi Hamilton operators
- Type: Article
- Identifier: uj:5977 , http://hdl.handle.net/10210/8442
- Description: Please refer to full text to view abstract
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- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2013-04-15
- Subjects: Schrodinger equation , Eigenvalues , Lie algebras , Hamilton operators , Fermi Hamilton operators
- Type: Article
- Identifier: uj:5977 , http://hdl.handle.net/10210/8442
- Description: Please refer to full text to view abstract
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Exceptional points, nonnormal matrices, hierarchy of spin matrices and an eigenvalue problem
- Steeb, Willi-Hans, Hardy, Yorick
- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2013-02-08
- Subjects: Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5979 , http://hdl.handle.net/10210/8444
- Description: Exceptional points are studied for non-hermitian Hamilton operators given by a hierarchy of spin-operators.
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- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2013-02-08
- Subjects: Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5979 , http://hdl.handle.net/10210/8444
- Description: Exceptional points are studied for non-hermitian Hamilton operators given by a hierarchy of spin-operators.
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Hamilton operators, discrete symmetries, brute force and symbolicC++
- Steeb, Willi-Hans, Hardy, Yorick
- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2012-08-23
- Subjects: Hamilton operators , Spin-Hamilton operators , Quantum theory
- Type: Article
- Identifier: uj:5974 , http://hdl.handle.net/10210/8419
- Description: To find the discrete symmetries of a Hamilton operator ˆH is of central importance in quantum theory. Here we describe and implement a brute force method to determine the discrete symmetries given by permutation matrices for Hamilton operators acting in a finite-dimensional Hilbert space. Spin and Fermi systems are considered as examples. A computer algebra implementation in SymbolicC++ is provided.
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- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2012-08-23
- Subjects: Hamilton operators , Spin-Hamilton operators , Quantum theory
- Type: Article
- Identifier: uj:5974 , http://hdl.handle.net/10210/8419
- Description: To find the discrete symmetries of a Hamilton operator ˆH is of central importance in quantum theory. Here we describe and implement a brute force method to determine the discrete symmetries given by permutation matrices for Hamilton operators acting in a finite-dimensional Hilbert space. Spin and Fermi systems are considered as examples. A computer algebra implementation in SymbolicC++ is provided.
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Linear optical quantum computing, associated Hamilton operators and computer algebra implementations
- Authors: Le Roux, Jaco
- Date: 2012-06-07
- Subjects: Linear optical quantum computing , Applied mathematics , Hamilton operators , SymbolicC++ , Probabilistic gates , Optical data processing , Quantum computers , Hamiltonian system , Algebra - Data processing
- Type: Thesis
- Identifier: uj:8644 , http://hdl.handle.net/10210/5000
- Description: M.Sc. , In this thesis we study the techniques used to calculate the Hamilton operators related to linear optical quantum computing. We also discuss the basic building blocks of linear optical quantum computing (LOQC) by looking at the logic gates and the physical instruments of which they are made.
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Linear optical quantum computing, associated Hamilton operators and computer algebra implementations
- Authors: Le Roux, Jaco
- Date: 2012-06-07
- Subjects: Linear optical quantum computing , Applied mathematics , Hamilton operators , SymbolicC++ , Probabilistic gates , Optical data processing , Quantum computers , Hamiltonian system , Algebra - Data processing
- Type: Thesis
- Identifier: uj:8644 , http://hdl.handle.net/10210/5000
- Description: M.Sc. , In this thesis we study the techniques used to calculate the Hamilton operators related to linear optical quantum computing. We also discuss the basic building blocks of linear optical quantum computing (LOQC) by looking at the logic gates and the physical instruments of which they are made.
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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.
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- 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.
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