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Formulation and Emulation of Quantum-Inspired Dynamical Systems With Classical Analog Circuits.

A J Cressman1, W Wattanapanitch2, I Chuang3

  • 1Department of Physics, Dartmouth College, Hanover, NH 03755, U.S.A. anthony.j.cressman.gr@dartmouth.edu.

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Novel analog circuits can emulate quantum dynamics using four new circuit parts. This breakthrough enables quantum-inspired computation with classical analog circuits, bridging quantum and neural computing fields.

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Area of Science:

  • Quantum computing
  • Analog circuit design
  • Computational neuroscience

Background:

  • Quantum dynamical systems offer powerful computation but are difficult to emulate on digital computers.
  • Classical analog circuits can potentially emulate complex quantum dynamics.

Purpose of the Study:

  • To introduce four novel analog circuit parts capable of emulating phase-coherent unitary dynamics of quantum systems.
  • To demonstrate the analog emulation of quantum Fourier transform (QFT) dynamics using these circuit parts.
  • To explore the potential for quantum-inspired computation using classical analog circuits.

Main Methods:

  • Development of four novel analog circuit parts: Planck capacitance, quantum admittance, quantum transadmittance, and quantum transadmittance mixer.
  • Classical emulation using paired real-value voltages and currents on Planck capacitances to represent probability amplitudes and Hamiltonian terms.
  • Implementation of circuits on an analog integrated circuit and experimental validation against theory and simulations.

Main Results:

  • Successful emulation of phase-coherent unitary dynamics of quantum systems.
  • Analog emulation of Nuclear Magnetic Resonance (NMR), Josephson junction, and Quantum Fourier Transform (QFT) dynamics.
  • Experimental results consistent with mathematical theory and computer simulations.

Conclusions:

  • Linear oscillatory neuronal networks with complex neurons and synapses can architect quantum-inspired computation using classical analog circuits.
  • An analog-circuit mapping between quantum and neural computation is established, enabling potential future synergies.
  • Analog computation offers a powerful approach for emulating complex quantum dynamics and advancing computational capabilities.