A Riemannian Genuine Measure of Entanglement for Pure States
- URL: http://arxiv.org/abs/2211.06309v4
- Date: Sat, 13 Jan 2024 08:36:37 GMT
- Title: A Riemannian Genuine Measure of Entanglement for Pure States
- Authors: Dharmaraj Ramachandran and Radhika Vathsan
- Abstract summary: 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)
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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