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Robustness of entanglement

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In the quest to completely describe entanglement in the general case of a finite number of parties sharing a physical system of finite-dimensional Hilbert space an entanglement magnitude is introduced for its pure and mixed states: robustness. It corresponds to the minimal amount of mixing with locally prepared states which washes out all entanglement. It quantifies in a sense the endurance of entanglement against noise and jamming. Its properties are studied comprehensively. Analytical expressions for the robustness are given for pure states of two-party systems, and analytical bounds for mixed states of two-party systems. Specific results are obtained mainly for the qubit-qubit system (qubit denotes quantum bit). As by-products local pseudomixtures are generalized, a lower bound for the relative volume of separable states is deduced, and arguments for considering convexity a necessary condition of any entanglement measure are put forward.

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VIDAL BONAFONT, Guifré and TARRACH, R. Robustness of entanglement. Physical Review A. 1999. Vol. 59, num. 1, pags. 141-155. ISSN 1050-2947. [consulted: 4 of August of 2026]. Available at: https://hdl.handle.net/2445/9553

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