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- Title
Matrix representations for adjoint and anti-adjoint operators in multi-spin 1/2 systems.
- Authors
Zhou, Shaosheng; Fu, Shizhou
- Abstract
This paper focuses on investigating the problems of matrix representations of adjoint and anti-adjoint operators as well as computations for these matrices in multi-spin 1/2 systems. By introducing a multi-index transformation mapping, adjoint and anti-adjoint operators on tensor space as well as their matrix representations are defined to describe dynamics of multi-spin 1/2 systems. Formulas for computing these matrices of the adjoint and anti-adjoint operators in multi-spin 1/2 systems are given in terms of matrix representations of the adjoint and anti-adjoint operators in single-spin 1/2 systems.
- Subjects
MATRICES (Mathematics); OPERATOR theory; MATHEMATICAL transformations; MATHEMATICAL mappings; LIE algebras; KRONECKER products; ABSTRACT algebra
- Publication
Quantum Information Processing, 2011, Vol 10, Issue 3, p379
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-010-0203-0