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Protected gates for superconducting qubits

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Brooks, Peter, Kitaev, Alexei, Preskill, John·2013·Physical Review A

Abstract

We analyze the accuracy of quantum phase gates acting on ``0-$\ensuremath{\pi}$ qubits'' in superconducting circuits, where the gates are protected against thermal and Hamiltonian noise by continuous-variable quantum error-correcting codes. The gates are executed by turning on and off a tunable Josephson coupling between an $LC$ oscillator and a qubit or pair of qubits; assuming perfect qubits, we show that the gate errors are exponentially small when the oscillator's impedance $\sqrt{L/C}$ is large compared to $\ensuremath{\hbar}/4{e}^{2}\ensuremath{\approx}1\phantom{\rule{4pt}{0ex}}\mathrm{k}\ensuremath{\Omega}$. The protected gates are not computationally universal by themselves, but a scheme for universal fault-tolerant quantum computation can be constructed by combining them with unprotected noisy operations. We validate our analytic arguments with numerical simulations.

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Metadata

Authors
Brooks, P., Kitaev, A., & Preskill, J.
Venue
Physical Review A
Published
2013-05-06
Volume
87
Issue
5
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
OpenAlex
W1967722604
Cited by
201
References
2
FWCI
5.89
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Protected gates for superconducting qubits. https://app.cochat.ai/papers/10.1103/physreva.87.052306
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Brooks, P., Kitaev, A., & Preskill, J. (2013). Protected gates for superconducting qubits. Physical Review A. https://doi.org/10.1103/physreva.87.052306

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