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Open Quantum Systems Decoherence Quantum Simulation Superconducting Qubits

Protection of qubits by nonlinear resonances

arXiv
Authors: Rakesh Kumar Saini, Raman Sehgal, Sudhir R. Jain

Year

2020

Paper ID

19134

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

We show that quantized superconducting circuits are non-integrable at the classical level of description, adorned by nonlinear resonances amidst stochastic sea. The spectral fluctuations of these quasi-integrable systems exhibit intermediate behaviour between regularity and chaos. The distribution function of ratios of adjacent spacings, and, nearest-neighbour spacing distribution functions attest to the occurrence of "mild chaos". Based on these features, we propose criteria for protection of qubits from decoherence which amounts to choosing the parameters of the system in a way that the system resides as close as possible to the elliptic point of the primary nonlinear resonance of the corresponding classical system.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • We show that quantized superconducting circuits are non-integrable at the classical level of description, adorned by nonlinear resonances amidst stochastic sea.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2011.10329 [2] arXiv https://arxiv.org/abs/2011.10329 [3] Publisher https://arxiv.org/abs/2011.10329

Local Citation Graph (Related-Paper Links)

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