Designing Kerr Interactions for Quantum Information Processing via
Counterrotating Terms of Asymmetric Josephson-Junction Loops
- URL: http://arxiv.org/abs/2107.06757v2
- Date: Fri, 10 Jun 2022 11:51:59 GMT
- Title: Designing Kerr Interactions for Quantum Information Processing via
Counterrotating Terms of Asymmetric Josephson-Junction Loops
- Authors: Timo Hillmann, Fernando Quijandr\'ia
- Abstract summary: static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes.
Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation.
Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
- Score: 68.8204255655161
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Continuous-variable systems realized in high-coherence microwave cavities are
a promising platform for quantum information processing. While strong dynamic
nonlinear interactions are desired to implement fast and high-fidelity quantum
operations, static cavity nonlinearities typically limit the performance of
bosonic quantum error-correcting codes. Here we study theoretical models of
nonlinear oscillators describing superconducting quantum circuits with
asymmetric Josephson-junctions loops. Treating the nonlinearity as a
perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff
transformation. We support our analytical results with numerical experiments
and show that the effective Kerr-type couplings can be canceled by an interplay
of higher-order nonlinearities. This can be better understood in a simplified
model supporting only cubic and quartic nonlinearities. Our results show that a
cubic interaction allows to increase the effective rates of both linear and
nonlinear operations without an increase in the undesired anharmonicity of an
oscillator which is crucial for many bosonic encodings.
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