Inequalities for Purity Parameters of Multiqudit and Single-Qudit States


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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.

作者简介

Vladimir Man’ko

Lebedev Physical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)

Email: kimo1@mail.ru
俄罗斯联邦, Leninskii Prospect 53, Moscow, 119991; Moscow Region, Dolgoprudnyi, 141700

Lubov Markovich

Moscow Institute of Physics and Technology (State University); Institute of Control Sciences, Russian Academy of Sciences

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Email: kimo1@mail.ru
俄罗斯联邦, Moscow Region, Dolgoprudnyi, 141700; Profsoyuznaya Street 65, Moscow, 117997

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