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 quits; assuming perfect qubits, we show
that the gate errors are exponentially small when the oscillator’s impedance
sqrt{L/C} is large compared to hbar/4e^2 ~ 1 kilo-ohm. 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.
Protected gates for superconducting qubits
We analyze the accuracy of quantum phase gates acting on „zero-pi qubits“ in
superconducting circuits, where the gates are protected against thermal and
Hamiltonian noise