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Biased Ising Model Using Two Coupled Kerr Parametric Oscillators with External Force.

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Researchers explored how an external force controls coupled Kerr parametric oscillators (KPOs), also known as Ising machines. This force enables arbitrary bias, offering new possibilities for optimization problem-solving.

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Area of Science:

  • Physics
  • Quantum Computing
  • Computational Science

Background:

  • Coupled Kerr parametric oscillators (KPOs) are physical systems used for analog optimization.
  • These systems, termed Ising machines, mimic spin ensembles.

Purpose of the Study:

  • To investigate the effect of an external force on KPO networks.
  • To demonstrate control over Ising machines using this external force.
  • To explore methods for engineering arbitrary biases in Ising machines.

Main Methods:

  • Experimental and theoretical study of coupled KPO networks.
  • Application of an external force to break phase-parity symmetry.
  • Analysis of the force's phase and symmetry in controlling network configuration.

Main Results:

  • The external force effectively controls the KPO network's configuration.
  • The force competes with intrinsic coupling, influencing system ordering.
  • Demonstrated creation of Ising machines with arbitrary, even exotic, biases.

Conclusions:

  • External force provides a novel method for controlling Ising machines.
  • This technique allows for engineering biases not possible in real spin systems.
  • Advances KPO networks as a versatile platform for complex optimization.