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- Title
Geometry of quantum state space and entanglement.
- Authors
Deb, Prasenjit; Bej, Pratapaditya
- Abstract
Recently, an explicit relation between a measure of entanglement and a geometric entity has been reported in Deb (Quantum Inf Process 15:1629-1638, 2016). It has been shown that if a qubit gets entangled with another ancillary qubit, then negativity, up to a constant factor, is equal to the 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 different class of bipartite entangled states and show explicit relation between two measures of entanglement and Riemannian metric.
- Subjects
TOPOLOGY; QUANTUM acoustics; GEOMETRIC vertices; MATHEMATICAL optimization; RIEMANNIAN geometry; QUBITS
- Publication
Quantum Information Processing, 2019, Vol 18, Issue 3, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-019-2192-y