Inequalities for Purity Parameters of Multiqudit and Single-Qudit States |
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| Authors: | Vladimir I Man’ko Lubov A Markovich |
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| Institution: | 1.Lebedev Physical Institute, Russian Academy of Sciences,Moscow,Russia;2.Moscow Institute of Physics and Technology (State University),Moscow Region,Russia;3.Institute of Control Sciences, Russian Academy of Sciences,Moscow,Russia |
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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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