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arXiv · 2211.06309

A Riemannian Genuine Measure of Entanglement for Pure States

Dharmaraj Ramachandran·Radhika Vathsan
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Abstract

While several measures exist for entanglement of multipartite pure states, a true entanglement measure for mixed states still eludes us. A deeper study of the geometry of quantum states may be the way to address this issue, on which context we come up with a measure for pure states based on a geodesic distance on the space of quantum states. Our measure satisfies all the desirable properties of a ``Genuine Measure of Entanglement" (GME), and in comparison with some of the other existing measures, shows better smoothness and discriminance.

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Dharmaraj Ramachandran, Radhika Vathsan. 2024-12-21. A Riemannian Genuine Measure of Entanglement for Pure States. https://arxiv.org/abs/2211.06309

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