Work

Quantum Maximal Correlation Coefficients

Year: 2026

Type: conference-paper

Abstract: We introduce families of quantum generalizations of the maximal correlation coefficient defined via quantum L2-measure spaces. We show these coefficients subsume previously proposed operationally relevant definitions of the quantum maximal correlation coefficient and satisfy key properties of the classical maximal correlation coefficient such as data processing. Building on work by Beigi, we further demonstrate that a broad class of these coefficients characterize fundamental limits on quantum state conversion and extraction of classical correlations under local operations.

Source: IEEE International Symposium on Information Theory (ISIT)

DOI: 10.1109/isit62367.2026.11654172

Authors: Ian George, Marco Tomamichel

Institution: National University of Singapore

Language: English

Topic: Quantum Information and Cryptography

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7204188017

FWCI:

Cites: 18

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Related to: 10