Scientific Results

Entanglement distance for an arbitrary state of M qubits

Year: 2019

Authors: Cocchiarella D., Scali S., Ribisi S., Nardi B., Bel-Hadj-Aissa G., Franzosi R.

Autors Affiliation: DSFTA, University of Siena, Via Roma 56, 53100 Siena, Italy
Department of Physics, University of Cambridge, Cambridge CB3 0HE, United Kingdom
Centre de Physique Th ́eorique, Aix-Marseille University,
Campus de Luminy, Case 907, 13288 Marseille Cedex 09, France
QSTAR & CNR – Istituto Nazionale di Ottica, Largo Enrico Fermi 2, I-50125 Firenze, Italy

Abstract: We propose a measure of entanglement that can be computed for any pure state of an M-qubit system. The entanglement measure has the form of a distance that we derive from an adapted ap- plication of the Fubini-Study metric. This measure is invariant under local unitary transformations and defined as trace of a suitable metric that we derive, the entanglement metric g ̃. Furthermore, the analysis of the eigenvalues of g ̃ gives information about the robustness of entanglement.

Journal/Review:

KeyWords: quantum entanglement measure

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