4 citations · 16 across the 21 of their papers we have counts for
5 papers · 1 filter
Matrices, Fermi Operators and Applications
Yorick Hardy, Willi-Hans Steeb, Garreth Kemp
We consider the vector space of matrices over , Fermi operators and operators constructed from these matrices and Fermi operators. The properties of these o…
Bose Operators, Coherent States, Truncation, Spin Coherent States, Lie Algebras and Spectrum
Willi-Hans Steeb, Garreth Kemp, Yorick Hardy +1
We study truncated Bose operators in finite dimensional Hilbert spaces. Spin coherent states for the truncated Bose operators and canonical coherent states for Bose operators are c…
Hierarchy of Spin Operators, Quantum Gates, Entanglement, Tensor Product and Eigenvalues
Willi-Hans Steeb, Yorick Hardy
{\bf Abstract.} We show that two hierarchies of spin Hamilton operators admit the same spectrum. Both Hamilton operators play a central role for quantum gates in particular for the…
A Sequence of Quantum Gates
Yorick Hardy, Willi-Hans Steeb
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…
Spin Hamilton Operators, Symmetry Breaking, Energy Level Crossing and Entanglement
Willi-Hans Steeb, Yorick Hardy, Jacqueline de Greef
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…