Structurally Stable Subharmonic Regime of a Driven Quantum Josephson Circuit

Michiel, Burgelman,; Rouchon, Pierre; Sarlette, Alain; Mirrahimi, Mazyar

doi:10.1103/physrevapplied.18.064044

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A No First Sidebands With a Cross-or Self-kerr Nonlinearity ...1

Harmonic Expansion Of the Equations Of Motion1

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2023

2024

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Cited by 5 publications

(2 citation statements)

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“…[54,55] in a Duffing oscillator without damping. While our system is related to it [59], we expect that, due to the damping, subharmonics do not occur in the steady state of a moderately driven system [56]. That assumption is even more likely to hold when in one of the modes, damping dominates the nonlinearity.…”

Section: A No First Sidebands With a Cross-or Self-kerr Nonlinearity ...mentioning

confidence: 94%

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Signatures and characterization of dominating Kerr nonlinearity between two driven systems with application to a suspended magnetic beam

Sokolov,

Heikkilä

2024

Phys. Rev. B

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Section: A No First Sidebands With a Cross-or Self-kerr Nonlinearity ...mentioning

confidence: 94%

“…with k and l integers. We assume that the system does not undergo a subharmonic bifurcation [54][55][56][57] and subharmonics are negligible. a and b can then be expanded in the form…”

Section: Harmonic Expansion Of the Equations Of Motionmentioning

confidence: 99%

Signatures and characterization of dominating Kerr nonlinearity between two driven systems with application to a suspended magnetic beam

Sokolov,

Heikkilä

2024

Phys. Rev. B

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Driving superconducting qubits into chaos

Chávez-Carlos,

Prado Reynoso,

Cortiñas

et al. 2024

Quantum Sci. Technol.

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Kerr parametric oscillators are potential building blocks for fault-tolerant quantum computers. They can stabilize Kerr-cat qubits, which offer advantages toward the encoding and manipulation of error-protected quantum information. The recent realization of Kerr-cat qubits made use of the nonlinearity of the SNAIL transmon superconducting circuit and a squeezing drive. Increasing nonlinearities can enable faster gate times, but, as shown here, can also induce chaos and melt the qubit away. We determine the region of validity of the Kerr-cat qubit and discuss how its disintegration could be experimentally detected. The danger zone for parametric quantum computation is also a potential playground for investigating quantum chaos with driven superconducting circuits.

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