Matrix representations for adjoint and anti-adjoint operators in multi-spin 1/2 systems. (English) Zbl 1216.81044
Summary: 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.
MSC:
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 46B28 | Spaces of operators; tensor products; approximation properties |
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