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arXiv · 1805.11292

Geometry of quantum state space and entanglement

Pratapaditya Bej·Prasenjit Deb
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Abstract

Recently, an explicit relation between a measure of entanglement and a geometric entity has been reported in Quantum Inf. Process. (2016) 15:1629-1638. It has been shown that if a qubit gets entangled with another ancillary qubit then negativity, up to a constant factor, is equal to square root of a specific Riemannian metric defined on the metric space corresponding to the state space of the qubit. In this article, we consider the different class of bi-partite entangled states and show explicit relation between two measures of entanglement and Riemannian metric.

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Pratapaditya Bej, Prasenjit Deb. 2018-05-29. Geometry of quantum state space and entanglement. https://doi.org/10.1007/s11128-019-2192-y

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