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Impurity and quaternions in nonrelativistic scattering from a quantum memory
Impurity and quaternions nonrelativistic scattering quantum memory
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2015/10/16
Models of quantum computing rely on transformations of the states of a quantum memory. We study mathematical aspects of a model proposed by Wu in which the memory state is changed via the scattering o...
Factorization of Matrices of Quaternions
Factorization Matrices Quaternions Operator Algebras
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2011/8/24
Abstract: We review known factorization results in quaternion matrices. Specifically, we derive the Jordan canonical form, polar decomposition, singular value decomposition, the QR factorization. We p...
Branching of the W(H4) Polytopes and Their Dual Polytopes under the Coxeter Groups W(A4) and W(H3) Represented by Quaternions
Dual Polytopes the W(H4) Polytopes Quaternions
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2011/7/26
Abstract: 4-dimensional H4 polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group W(H4) where the group elements and the vertices of the polytopes are represe...
Minimal Polynomials of Some Matrices Via Quaternions
Minimal Polynomials Matrices Quaternions
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2010/12/16
This work provides explicit characterizations and formulae for the minimal polynomials of
a wide variety of structured 4 × 4 matrices. These include symmetric, Hamiltonian and orthogonal matrices. Ap...
Minimal Polynomials of Some Matrices Via Quaternions
Minimal Polynomials Some Matrices Via Quaternions
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2010/11/26
This work provides explicit characterizations and formulae for the minimal polynomials of
a wide variety of structured 4 × 4 matrices. These include symmetric, Hamiltonian and
orthogonal matrices. A...
Minimal Polynomials of Some Matrices Via Quaternions
Minimal Polynomials Matrices Quaternions
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2010/12/16
This work provides explicit characterizations and formulae for the minimal polynomials of
a wide variety of structured 4 × 4 matrices. These include symmetric, Hamiltonian and
orthogonal matrices. A...
Dual Quaternions in Spatial Kinematics in an Algebraic Sense
Dual quaternions Hamilton operators Lie algebras
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2010/2/25
This paper presents the finite spatial displacements and spatial screw motions by using dual quaternions and Hamilton operators. The representations are considered as 4 \times 4 matrices and the relat...