---
res:
  bibo_abstract:
  - Estimating global properties of many-body quantum systems such as entropy or bipartite
    entanglement is a notoriously difficult task, typically requiring a number of
    measurements or classical postprocessing resources growing exponentially in the
    system size. In this work, we address the problem of estimating global entropies
    and mixed-state entanglement via partial-transposed (PT) moments and show that
    efficient estimation strategies exist under the assumption that all the spatial
    correlation lengths are finite. Focusing on one-dimensional systems, we identify
    a set of approximate factorization conditions (AFCs) on the system density matrix,
    which allow us to reconstruct entropies and PT moments from information on local
    subsystems. This identification yields a simple and efficient strategy for entropy
    and entanglement estimation. Our method could be implemented in different ways,
    depending on how information on local subsystems is extracted. Focusing on randomized
    measurements providing a practical and common measurement scheme, we prove that
    our protocol requires only polynomially many measurements and postprocessing operations,
    assuming that the state to be measured satisfies the AFCs. We prove that the AFCs
    hold for finite-depth quantum-circuit states and translation-invariant matrix-product
    density operators and provide numerical evidence that they are satisfied in more
    general, physically interesting cases, including thermal states of local Hamiltonians.
    We argue that our method could be practically useful to detect bipartite mixed-state
    entanglement for large numbers of qubits available in today’s quantum platforms.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Benoît
      foaf_name: Vermersch, Benoît
      foaf_surname: Vermersch
  - foaf_Person:
      foaf_givenName: Marko
      foaf_name: Ljubotina, Marko
      foaf_surname: Ljubotina
      foaf_workInfoHomepage: http://www.librecat.org/personId=F75EE9BE-5C90-11EA-905D-16643DDC885E
    orcid: 0000-0003-0038-7068
  - foaf_Person:
      foaf_givenName: J. Ignacio
      foaf_name: Cirac, J. Ignacio
      foaf_surname: Cirac
  - foaf_Person:
      foaf_givenName: Peter
      foaf_name: Zoller, Peter
      foaf_surname: Zoller
  - foaf_Person:
      foaf_givenName: Maksym
      foaf_name: Serbyn, Maksym
      foaf_surname: Serbyn
      foaf_workInfoHomepage: http://www.librecat.org/personId=47809E7E-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-2399-5827
  - foaf_Person:
      foaf_givenName: Lorenzo
      foaf_name: Piroli, Lorenzo
      foaf_surname: Piroli
  bibo_doi: 10.1103/physrevx.14.031035
  bibo_issue: '3'
  bibo_volume: 14
  dct_date: 2024^xs_gYear
  dct_identifier:
  - UT:001299667100002
  dct_isPartOf:
  - http://id.crossref.org/issn/2160-3308
  dct_language: eng
  dct_publisher: American Physical Society@
  dct_title: Many-body entropies and entanglement from polynomially many local measurements@
...