Affine maps of density matrices

Details Affine maps of density matrices Affine maps of density matrices

2004-07-26

arxiv.org/abs/quant-ph/0407203v2

Phys. Rev. A 71, 034101 (2005)

Physics

Quantum Physics

4 pages, title changed, sentence added, reference updated

Scientific paper

10.1103/PhysRevA.71.034101

For quantum systems described by finite matrices, linear and affine maps of matrices are shown to provide equivalent descriptions of evolution of density matrices for a subsystem caused by unitary Hamiltonian evolution in a larger system; an affine map can be replaced by a linear map, and a linear map can be replaced by an affine map. There may be significant advantage in using an affine map. The linear map is generally not completely positive, but the linear part of an equivalent affine map can be chosen to be completely positive and related in the simplest possible way to the unitary Hamiltonian evolution in the larger system.

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