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Parent Hamiltonian Reconstruction via Inverse Quantum Annealing.

Davide Rattacaso1,2, Gianluca Passarelli3, Angelo Russomanno1,4

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Researchers developed inverse quantum annealing to find parent Hamiltonians for quantum states. This method uses artificial inverse dynamics and local expectation values, offering a new tool for quantum technologies.

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Area of Science:

  • Quantum Physics
  • Quantum Information Science
  • Computational Physics

Background:

  • Finding a parent Hamiltonian for a given quantum state is crucial for quantum technologies.
  • Existing methods face challenges in efficiency and scalability.

Purpose of the Study:

  • Introduce a numerical method, inverse quantum annealing, to efficiently find parent Hamiltonians.
  • Demonstrate the method's applicability on relevant quantum models.

Main Methods:

  • Employing artificial inverse dynamics via a slow deformation of quantum states.
  • Utilizing a projection onto local operators and requiring only local expectation values.
  • Inspired by quantum annealing principles for adiabatic Hamiltonian evolution.

Main Results:

  • The inverse quantum annealing method efficiently generates an approximate parent Hamiltonian.
  • The degree of locality in the resulting Hamiltonian depends on state correlations.
  • Successful application to the Kitaev fermionic chain and quantum Ising chain models.

Conclusions:

  • Inverse quantum annealing provides a viable numerical approach for constructing parent Hamiltonians.
  • The method's efficiency and reliance on local observables make it promising for quantum technologies.
  • Further exploration of its capabilities on complex quantum systems is warranted.