Email this article Inequalities for Purity Parameters of Multiqudit and Single-Qudit States
- Authors: Man’ko V.I.1,2, Markovich L.A.2,3
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Affiliations:
- Lebedev Physical Institute, Russian Academy of Sciences
- Moscow Institute of Physics and Technology (State University)
- Institute of Control Sciences, Russian Academy of Sciences
- Issue: Vol 37, No 2 (2016)
- Pages: 133-140
- Section: Article
- URL: https://journal-vniispk.ru/1071-2836/article/view/247762
- DOI: https://doi.org/10.1007/s10946-016-9553-0
- ID: 247762
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Abstract
We analyze the recently found inequality for eigenvalues of the density matrix and purity parameters describing either a bipartite-system state or a single-qudit state. We rewrite the Minkowski-type trace inequality for the density matrices of the qudit states in terms of the purity parameters and discuss the properties of the inequality obtained, paying special attention to the X-states of two qubits and a single qudit. Also we study the relation of the purity inequalities obtained with the entanglement.
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About the authors
Vladimir I. Man’ko
Lebedev Physical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)
Email: kimo1@mail.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; Moscow Region, Dolgoprudnyi, 141700
Lubov A. Markovich
Moscow Institute of Physics and Technology (State University); Institute of Control Sciences, Russian Academy of Sciences
Author for correspondence.
Email: kimo1@mail.ru
Russian Federation, Moscow Region, Dolgoprudnyi, 141700; Profsoyuznaya Street 65, Moscow, 117997
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