Work

Information Geometrical Characterization of Quantum Statistical Models in Quantum Estimation Theory

Year: 2019

Type: article

Abstract: In this paper, we classify quantum statistical models based on their information geometric properties and the estimation error bound, known as the Holevo bound, into four different classes: classical, quasi-classical, D-invariant, and asymptotically classical models. We then characterize each model by several equivalent conditions and discuss their properties. This result enables us to explore the relationships among these four models as well as reveals the geometrical understanding of quantum statistical models. In particular, we show that each class of model can be identified by comparing quantum Fisher metrics and the properties of the tangent spaces of the quantum statistical model.

Source: Entropy

DOI: 10.3390/e21070703

Author: Jun Suzuki

Institution: University of Electro-Communications

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,621

Funder: Japan Society for the Promotion of Science