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Sequential Generation of Projected Entangled-Pair States.

Zhi-Yuan Wei1, Daniel Malz1, J Ignacio Cirac1

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics

Background:

  • Tensor network states are crucial for understanding quantum many-body systems.
  • Existing models often lack efficient preparation methods or long-range correlation descriptions.

Purpose of the Study:

  • Introduce a new class of quantum states: plaquette projected entangled-pair states.
  • Explore their properties, including entanglement and correlations.
  • Identify subclasses with efficient preparation schemes.

Main Methods:

  • Sequential unitaries applied to overlapping plaquettes in a lattice.
  • Identification of a subclass prepared radially.
  • Utilizing arrays of photon sources for preparation.

Main Results:

  • Plaquette projected entangled-pair states exhibit area-law entanglement and long-range correlations.
  • A subclass generalizes isometric tensor network states.
  • Efficient radial preparation and photon source implementation demonstrated.

Conclusions:

  • This new class of states offers a powerful framework for quantum many-body physics.
  • Efficient preparation methods pave the way for experimental realization.
  • Provides a generalized perspective on tensor network states.