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This study introduces a quantum solver for calculating energies and properties of many-fermion systems. The new quantum algorithm offers an exponential speed-up over classical methods without requiring deep circuits or complex optimization.

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Area of Science:

  • Quantum computing
  • Computational physics
  • Quantum chemistry

Background:

  • Accurate computation of many-fermion systems is crucial in physical and computational sciences.
  • Current quantum algorithms like phase estimation and variational methods have limitations, including deep circuits and complex optimization.

Purpose of the Study:

  • To introduce a novel quantum solver for contracted eigenvalue equations.
  • To provide an efficient quantum analog for classical methods calculating ground and excited states.

Main Methods:

  • Developed a quantum solver for contracted eigenvalue equations.
  • Algorithm avoids deep quantum circuits and high-dimensional classical optimization.
  • Demonstrated computations on quantum simulators and IBM quantum processing units.

Main Results:

  • The quantum solver achieves an exponential speed-up compared to classical methods.
  • Successfully computed energies and reduced density matrices for ground and excited states.
  • Validated the algorithm's performance on real quantum hardware.

Conclusions:

  • The proposed quantum solver offers a more efficient approach for studying many-fermion systems.
  • This method overcomes limitations of existing quantum algorithms.
  • Paves the way for advanced quantum simulations in physics and chemistry.