Metrological Measures of Non-classical Correlations

A Unified Approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information

“…The inequality above shows that the weight function h f ∧g also satisfies the integrability condition (10), which implies that f ∧ g is regular. Since…”

“…Following [10], we prove that the metric adjusted LQU is a measure of non-classical correlations, i.e., it meets the criteria which identify discord-like quantifiers; see [4]. Proof.…”

“…This discovery triggered theoretical and experimental studies to understand the physical meaning of quantum discord, and the potential use of it as a resource for quantum technologies [4]. Relying on the known interplay between the geometrical and physical properties of mixed states [5,6], a stream of works employed information geometry techniques to construct quantifiers of quantum discord [7][8][9][10][11][12]. In particular, two of the most popular ones are the Local Quantum Uncertainty (LQU) and the Interferometric Power (IP) [13,14].…”

A unified approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information

“…Therefore there exists, by the correspondence in Theorem , a (unique) regular function g in F op such that g = f. The assertion then follows by Proposition 4. QED Following [13] we prove that the metric adjusted LQU is a measure of non-classical correlations, i.e. it meets the criteria which identify discord-like quantifiers, see [7].…”

“…The discovery triggered theoretical and experimental studies to understand the physical meaning of quantum discord, and the potential use of it as a resource for quantum technologies [7]. Relying on the known interplay between geometrical and physical properties of mixed states [8,9], a stream of works employed information geometry techniques to construct quantifiers of quantum discord [10][11][12][13][14][15]. In particular, two of the most popular ones are the Local Quantum Uncertainty (LQU) and the Interferometric Power (IP) [1,2].…”