Science Advances

Supplementary Materials

This PDF file includes:

  • section S1. Derivation of the circuit Hamiltonian
  • section S2. Readout and dissipation
  • section S3. Two coupled parametric oscillators
  • section S4. Robustness to decoherence
  • section S5. Quantum trajectory comparison between CVIM and QA
  • section S6. Parameter estimates
  • section S7. Typical quantum trajectories for the NPP
  • fig. S1. Illustration of a superconducting quantum interference device–based KPO
    circuit.
  • fig. S2. Schematics of a multiply connected circuit with logarithmically extended
    tunability.
  • fig. S3. Highest part of the eigenspectrum of two coupled parametric oscillators in
    the rotating frame.
  • fig. S4. Populations of the seven highest eigenstates as a function of the
    normalized ramp rate.
  • fig. S5. Stability diagram for the symmetric mode when J > 0.
  • fig. S6. Logarithmic negativity of the two-mode Gaussian state during annealing.
  • fig. S7. Conditional success probability conditioned on the total number of jumps.
  • fig. S8. Conditional success probability conditioned on the total number of jumps
    (N = 6) and conditioned on the number of jumps in a given oscillator.
  • fig. S9. Effect of dephasing on the discrete qubit QA.
  • fig. S10. Ratio of ac amplitudes as a function of c1 = cos(Φdc1 ) .
  • fig. S11. Conditional expectation values of the interoscillator phase correlations
    for ε=100 .
  • fig. S12. Conditional expectation values of the interoscillator phase correlations
    for ε=15 .
  • fig. S13. Conditional expectation values of the interoscillator phase correlations
    for ε=3.
  • References (52, 53, 56–61)

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