A Unified Approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information
@article{Gibilisco2021AUA, title={A Unified Approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information}, author={Paolo Gibilisco and Davide Girolami and Frank Hansen}, journal={Entropy}, year={2021}, volume={23} }
Local quantum uncertainty and interferometric power were introduced by Girolami et al. as geometric quantifiers of quantum correlations. The aim of the present paper is to discuss their properties in a unified manner by means of the metric adjusted skew information defined by Hansen.
5 Citations
Gram matrices of quantum channels via quantum Fisher information with applications to decoherence and uncertainty
- Information Geometry
- 2023
Uncertainty and Quantum Variance at the light of Quantum Information Geometry
- PhysicsInformation Geometry
- 2022
Quantum Wasserstein distance based on an optimization over separable states
- Physics
- 2022
We define the quantum Wasserstein distance such that the optimization is carried out over bipartite separable states rather than bipartite quantum states in general, and examine its properties.…
Quantifying coherence relative to channels via metric-adjusted skew information
- Computer SciencePhysical Review A
- 2022
References
SHOWING 1-10 OF 33 REFERENCES
Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations
- PhysicsIEEE Transactions on Information Theory
- 2009
This study is applied to generalize a recently proved uncertainty relation based on quantum Fisher information to simplify the previously proposed proofs and lead to more general inequalities.
Quantum Entanglement
- Physics, Computer ScienceDo We Really Understand Quantum Mechanics?
- 2019
A brief overview of the concept of entanglement in quantum mechanics is given, and the major results and open problems related to the recent scientific progress in this field are discussed.
Advances in quantum metrology
- Physics
- 2011
The statistical error in any estimation can be reduced by repeating the measurement and averaging the results. The central limit theorem implies that the reduction is proportional to the square root…
Inequalities for Quantum Skew Information
- Mathematics, Computer Science
- 2008
It is shown that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors.
Metrological Measures of Non-classical Correlations
- Physics
- 2017
In this work, we will review studies showing that non-classical, discord-like correlations do not necessarily describe a statistical dependence between measurements performed by non-communicating…
Inequalities for quantum Fisher information
- Mathematics
- 2007
In the paper [16] Luo proved an inequality relating the Wigner-Yanase information and the SLD-information. In this paper we prove that Luo’s inequality is a particular case of a general inequality…
Characterising two-sided quantum correlations beyond entanglement via metric-adjusted f-correlations.
- Physics
- 2016
We introduce an infinite family of quantifiers of quantum correlations beyond entanglement which vanish on both classical-quantum and quantum-classical states and are in one-to-one correspondence…
Characterizing nonclassical correlations via local quantum uncertainty.
- PhysicsPhysical review letters
- 2013
It is shown that the amount of discord present in a bipartite mixed probe state guarantees a minimum precision, as quantified by the quantum Fisher information, in the optimal phase estimation protocol.
Quantum Discord Determines the Interferometric Power of Quantum States
- Physics
- 2014
Quantum metrology exploits quantum mechanical laws to improve the precision in estimating technologically relevant parameters such as phase, frequency, or magnetic fields. Probe states are usually…