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September 10, 2025Transactions of the American Mathematical Society

On a solution of the multidimensional truncated moment problem on vertices of the hypercube based on Bell inequalities

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Authors

CEClive EmaryDKDavid P. KimseyCTChristos Panagiotis Tantalakis

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Overview

The analysis reveals necessary conditions for functional representations in quantum information, implying connections to Bell inequalities.

Key Points

  • Necessary conditions are established for linear functionals over the hypercube vertices, aligning them with quantum information.
  • This involves showing the existence of a probability measure on the hypercube with specific properties, often involving Bell inequalities.
  • Utilizing algebraic geometry tools, the study defines concrete consistency conditions necessary for transforming the moment problem.
  • The work offers formulations in varied settings, extending implications for quantum nonlocality and functional analysis.

Cite This Study

Emary et al. (2025) studied this question.

synapsesocial.com/papers/68c1a41654b1d3bfb60def8fhttps://doi.org/10.1090/tran/9435
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