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Related Experiment Videos

Diverging entanglement length in gapped quantum spin systems.

F Verstraete1, M A Martín-Delgado, J I Cirac

  • 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany.

Physical Review Letters
|March 5, 2004
PubMed
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We prove gapped quantum Hamiltonians can have ground states with infinite entanglement length. This finding has implications for quantum channels and understanding quantum correlations.

Area of Science:

  • Quantum physics
  • Condensed matter theory

Background:

  • Quantum Hamiltonians typically exhibit finite correlation lengths.
  • Understanding entanglement properties is crucial for quantum information science.

Purpose of the Study:

  • To demonstrate the existence of gapped quantum Hamiltonians with infinite entanglement length.
  • To explore the implications of such states for quantum communication.

Main Methods:

  • Utilizing entanglement swapping to calculate localizable entanglement.
  • Analyzing valence bond and finitely correlated states.
  • Investigating the string-order parameter.

Main Results:

  • Existence of gapped quantum Hamiltonians with infinite entanglement length proven.

Related Experiment Videos

  • Exact calculation of localizable entanglement for specific quantum states.
  • Evidence for antiferromagnetic chains as perfect quantum channels.

    • Conclusions:

    • Infinite entanglement length is achievable in gapped quantum systems.
    • Antiferromagnetic chains show potential as quantum channels for local measurements.