On quantumness in multi-parameter quantum estimation

By Angelo Carollo, Bernardo Spagnolo, A. Dubkov, Davide Valenti. Journal of Statistical Mechanics: Theory and Experiment, 2019

173 citations recorded by the source corpus.

In this article we derive a measure of quantumness in quantum multi-parameter estimation problems. We can show that the ratio between the mean Uhlmann curvature and the Fisher information provides a figure of merit which estimates the amount of incompatibility arising from the quantum nature of the underlying physical system. This ratio accounts for the discrepancy between the attainable precision in the simultaneous estimation of multiple parameters and the precision predicted by the Cramér–Rao bound. As a testbed for this concept, we consider a quantum many-body system in thermal equilibrium, and explore the quantum compatibility of the model across its phase diagram.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/d130c82233e3dfc0716241fdf464820d30a0a351

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Bernardo Spagnolo
2. Davide Valenti
3. Marco G. Genoni
4. Angelo Carollo

In Atomic and Molecular Physics, and Optics

1. Bernardo Spagnolo
2. Davide Valenti
3. Marco G. Genoni
4. Angelo Carollo

Citations in the corpus

• Geometry of quantum phase transitions (2019, background): “The ratio R ≤ 1 when R ∼ n0 marks the condition of maximal asymptotic incompatibility [111] introduced in section 10.”
• A perspective on multiparameter quantum metrology: From theoretical tools to applications in quantum imaging (2019, background): “(27) has been introduced in [56] as a measure of quantumness of the quantum”