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Local Characterization of Global Tensor Network Eigenstates

feeds.aps.org · By José Garre Rubio, András Molnár, Norbert Schuch & Frank Verstraete ·

The 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.

Who’s affected

  • physicists working on quantum many-body systems and tensor networks

Author(s): José Garre Rubio, András Molnár, Norbert Schuch, and Frank Verstraete We study the conditions under which matrix product states (MPSs) or matrix product operators are exact eigenvectors of an extensive local operator such as a Hamiltonian. By suitably choosing the…

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