Work

Sklar's Theorem and Quantum State Reconstruction from All-Context Dependence

Year: 2026

Type: preprint

Abstract: Sklar's theorem separates the marginals of a joint distribution from its dependence structure. We apply this viewpoint to Born statistics generated by local quantum measurements. For non-product two-qubit states, the dependence nuclei over all local binary projective measurement contexts determine the state up to at most a discrete double-spin-flip ambiguity. The corresponding scalar optimization, combined with the quantum total correlation, reproduces global quantum discord.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.08035

Author: Lin, Yi-Yu

Institutions: Fudan University, Shanghai Institute for Mathematics and Interdisciplinary Sciences

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212026047

Cites:

Cited by: 1

Related to: 10