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October 18, 2025Physical Review X5 citationsOpen Access

Clustering of Conditional Mutual Information and Quantum Markov Structure Across Temperatures

Clustering of Conditional Mutual Information and Quantum Markov Structure at Arbitrary Temperatures

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Authors

TKTomotaka Kuwahara

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Overview

This work finds that conditional mutual information maintains exponential decay at low temperatures, indicating complex entanglement behavior.

Key Points

  • CMI exhibits exponential decay with distance, with a correlation length that increases polynomially with the inverse temperature.
  • This study enhances the clustering theorem regarding bipartite entanglement, suggesting limitations on its manifestation in long-range phases.
  • Formal analysis of locality in effective Hamiltonians highlights relationships between tripartite correlations and bipartite entanglement.
  • The findings challenge existing assumptions about the behavior of entanglement at low temperatures, broadening our understanding of quantum phases.
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Tomotaka Kuwahara (2025) studied this question.

synapsesocial.com/papers/68f3b2fb3f213c1f8b4d36eehttps://doi.org/10.1103/9hx7-pzxw
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