Quantifying entanglement properties of qudit mixed states with incomplete permutation symmetry

Barasiński, Artur; Nowotarski, Mateusz

doi:10.1103/physreva.95.042333

Cited by 4 publications

(1 citation statement)

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“…In addition, a recent experimental realisation confirmed the superiority of qudits in certifying entanglement in noisy environments [26]. At the same time, different measure of entanglement for such systems appeared, such as a measure for highly symmetric mixed qudit states [27] and the I concurrence in arbitrary Hilbert space dimensions [28]. Finally, a geometric measure for M -qudit pure states has been proposed in [29].…”

Section: Introductionmentioning

confidence: 99%

Entanglement distance for arbitrary M -qudit hybrid systems

et al. 2020

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The achievement of quantum supremacy boosted the need for a robust medium of quantum information. In this task, higher-dimensional qudits show remarkable noise tolerance and enhanced security for quantum key distribution applications. However, to exploit the advantages of such states, we need a thorough characterisation of their entanglement. Here, we propose a measure of entanglement which can be computed either for pure and mixed states of a M -qudit hybrid system. The entanglement measure is based on a distance deriving from an adapted application of the Fubini-Study metric. This measure is invariant under local unitary transformations and has an explicit computable expression that we derive. In the specific case of M -qubit systems, the measure assumes the physical interpretation of an obstacle to the minimum distance between infinitesimally close states. Finally, we quantify the robustness of entanglement of a state through the eigenvalues analysis of the metric tensor associated with it. arXiv:2003.05771v1 [quant-ph]

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