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Symmetry-Assisted Preparation of Entangled Many-Body States on a Quantum Computer.

Denis Lacroix1

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A new quantum computing method constructs entangled states for many-body systems. This discrete spectra assisted approach, derived from quantum phase estimation, is applied to superfluid systems.

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Area of Science:

  • Quantum computing
  • Quantum information science
  • Condensed matter physics

Background:

  • Quantum computers offer novel ways to simulate complex quantum systems.
  • Simulating correlated many-body systems is computationally challenging for classical computers.
  • Entangled states are crucial for describing quantum correlations in many-body systems.

Purpose of the Study:

  • To propose a novel method for constructing entangled states on quantum computers.
  • To leverage the quantum phase estimation algorithm for state preparation.
  • To apply the method to study superfluid systems and their properties.

Main Methods:

  • Utilizing the quantum phase estimation (QPE) algorithm.
  • Employing operators with known discrete eigenvalues as projectors.
  • Implementing a blocking technique adapted for qubits to obtain spectral information.

Main Results:

  • Successfully constructed entangled states representing correlated many-body systems.
  • Demonstrated the method's applicability to superfluid systems.
  • Obtained the full spectra of a pairing Hamiltonian using the discrete spectra assisted approach.

Conclusions:

  • The discrete spectra assisted method provides a viable route for preparing entangled states on quantum computers.
  • This approach can simulate symmetry breaking and restoration in quantum systems.
  • The method is effective for analyzing spectral properties of Hamiltonians, particularly in condensed matter physics contexts like superfluids.