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Area of Science:

  • Quantum Computing
  • Computational Complexity
  • Quantum Information Science

Background:

  • Determining the threshold for quantum computational advantage is essential for assessing quantum machine utility.
  • Gaussian boson sampling (GBS) is a key quantum advantage candidate, involving photon measurements from entangled Gaussian states.

Purpose of the Study:

  • To develop significantly faster classical simulation methods for GBS experiments.
  • To improve the accuracy and speed of calculating loop hafnians for GBS simulations.

Main Methods:

  • Implementation of improved classical algorithms for GBS simulation.
  • Utilizing a large-scale supercomputer (∼100,000 cores) for emulation.
  • Development of a classically efficient sampling distribution for GBS validation.

Main Results:

  • Reduced simulation time for state-of-the-art GBS experiments from an estimated 600 million years to several months.
  • Achieved a nine-orders of magnitude improvement in classical simulation efficiency.
  • Successfully emulated GBS experiments with up to 100 modes and 92 photons.

Conclusions:

  • The developed methods provide a substantial acceleration in classical GBS simulations.
  • This advancement aids in verifying quantum advantage claims in GBS experiments.
  • Introduced a novel, classically efficient distribution for GBS validation.