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This study introduces a new classical simulation method for quantum many-body systems, finding that starting adiabatic state preparation (ASP) with a specific quantum wave function offers significant speedups for quantum hardware. The research suggests ASP is viable for efficient quantum computation.

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Area of Science:

  • Quantum computing
  • Computational physics
  • Quantum chemistry

Background:

  • Quantum computation offers speedups for simulating quantum many-body systems.
  • Adiabatic state preparation (ASP) is a method for simulating ground states on quantum computers.

Purpose of the Study:

  • To develop a novel, resource-efficient classical simulation of ASP time dynamics.
  • To investigate methods for accelerating ASP on quantum hardware.
  • To analyze the feasibility of ASP for practical quantum applications.

Main Methods:

  • Adaptive sampling configuration interaction for Hilbert space truncation.
  • Classical simulation of ASP for molecular systems and Hubbard models.
  • Evaluation of CASCI wave functions and nonlinear interpolation for quantum hardware speedups.

Main Results:

  • The adaptive sampling method accurately simulates ASP with modest resources.
  • Using a complete active space configuration interaction (CASCI) wave function significantly speeds up ASP.
  • Nonlinear interpolation did not provide speedups; trends in minimum gap location and state preparation time were observed.
  • Required state preparation times do not exhibit an exponential wall, indicating potential for efficient hardware implementation.

Conclusions:

  • The developed classical simulation method is accurate and efficient.
  • CASCI wave functions offer a viable strategy for accelerating ASP on quantum hardware.
  • ASP shows promise for efficient implementation on actual quantum hardware without immediate exponential limitations.