# Local Characterization of Global Tensor Network Eigenstates

Source: [feeds.aps.org](http://link.aps.org/doi/10.1103/5m7t-q2f6) · 2026-11-13 · Physics
Page: https://themorning.science/story/local-characterization-of-global-tensor-network-eigenstates-bc20fb7d7d9a8223
Kind: research · Impact: low

## In brief

- The paper studies conditions under which matrix product states (MPSs) or matrix product operators are exact eigenvectors of an extensive local operator such as a Hamiltonian.
- The authors are José Garre Rubio, András Molnár, Norbert Schuch and Frank Verstraete.
- The work is published by the American Physical Society (DOI 10.1103/5m7t-q2f6).

## Why it matters

Tensor network states are a standard numerical and analytical tool for quantum many-body systems, so clarifying when they are exact eigenstates of local operators shows which models they can describe exactly.

## Coverage

- [Local Characterization of Global Tensor Network Eigenstates](http://link.aps.org/doi/10.1103/5m7t-q2f6) — feeds.aps.org, 2026-11-13

Tags: tensor networks, matrix product states, quantum many-body, eigenstates, hamiltonians

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Brief generated by AI (claude-haiku-5-5) from the reporting listed under Coverage. Headlines belong to their publishers. The Morning Science – https://themorning.science