Hierarchy of correlation quantifiers comparable to negativity
arXiv:2111.11887 · doi:10.22331/q-2022-02-16-654
Abstract
Quantum systems generally exhibit different kinds of correlations. In order to compare them on equal footing, one uses the so-called distance-based approach where different types of correlations are captured by the distance to different sets of states. However, these quantifiers are usually hard to compute as their definition involves optimization aiming to find the closest states within the set. On the other hand, negativity is one of the few computable entanglement monotones, but its comparison with other correlations required further justification. Here we place negativity as part of a family of correlation measures that has a distance-based construction. We introduce a suitable distance, discuss the emerging measures and their applications, and compare them to relative entropy-based correlation quantifiers. This work is a step towards correlation measures that are simultaneously comparable and computable.
19 pages, 2 figures. Final version
References in corpus (9)
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Witnessed entanglement and the geometric measure of quantum discord
- Unifying approach to the quantification of bipartite correlations by Bures distance
- Cost of quantum entanglement simplified
- Closed formula for the relative entropy of entanglement
- Binegativity and geometry of entangled states in two qubits
- Closed formula for the relative entropy of entanglement in all dimensions
- Negativity as a distance from a separable state
- Concurrence and negativity as distances
Cited by in corpus (6)
- Local quantum Fisher information and local quantum uncertainty for general X-states
- A Variational Approach to the Quantum Separability Problem
- Certifiable Lower Bounds of Wigner Negativity Volume and Non-Gaussian Entanglement with Conditional Displacement Gates
- Correlations and signaling in the Schrödinger-Newton model
- Quantitative non-classicality of mediated interactions
- Generating quantum dissonance via local operations