Structure and Parametrization of Stochastic Maps of Density Matrices
| dc.creator | Sudarshan, E. C. G. | |
| dc.date | 2001-09-28 | |
| dc.date.accessioned | 2026-07-07T06:02:46Z | |
| dc.date.available | 2026-07-07T06:02:46Z | |
| dc.description | The generic linear evolution of the density matrix of a system with a finite-dimensional state space is by stochastic maps which take a density matrix linearly into the set of density matrices. These dynamical stochastic maps form a linear convex set that may be viewed as supermatrices. The property of hermiticity of density matrices renders an associated supermatrix hermitian and hence diagonalizable; but the positivity of the density matrix does not make this associated supermatrix positive. If it is positive, the map is called completely positive and they have a simple parametrization. This is extended to all positive (not completely positive) maps. A contraction of a norm-preserving map of the combined system can be contracted to obtain all dynamical maps. The reconstruction of the extended dynamics is given. | |
| dc.description | 10 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0109158 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0109158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89732 | |
| dc.subject | Quantum Physics | |
| dc.title | Structure and Parametrization of Stochastic Maps of Density Matrices | |
| dc.type | text |