Inequalities for purity parameters for multipartite and single qudit states
Quantum Physics
2015-02-10 v1
Abstract
We analyze a recently found inequality for eigenvalues of the density matrix and purity parameter describing either a bipartite system state or a single qudit state. The Minkowski type trace inequality for the density matrices of the qudit states is rewritten in terms of the purities. The properties of the obtained inequality are discussed. The -states of the two qubits and the single qudit are considered in detail. A study of the relation of the obtained purity inequalities with the entanglement is presented.
Keywords
Cite
@article{arxiv.1502.02371,
title = {Inequalities for purity parameters for multipartite and single qudit states},
author = {V. I. Man'ko and L. A. Markovich},
journal= {arXiv preprint arXiv:1502.02371},
year = {2015}
}
Comments
9 pages, 7 figures