Fault-tolerant quantum computation with constant error
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Quantum Error Correction and Fault Tolerant Quantum Computing
Quantum Error Correction and Fault Tolerant Quantum Computing
High-fidelity single-qubit gates using non-adiabatic rapid passage
Quantum Information & Computation
High-fidelity universal quantum gates through group-symmetrized rapid passage
Quantum Information & Computation
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Numerical simulation results are presented which suggest that a class of non-adiabaticrapid passage sweeps first realized experimentally in 1991 should be capable of implementinga universal set of quantum gates Gu that operate with high fidelity. The gatesconstituting Gu are the Hadamard and NOT gates, together with variants of the phase,Ø/8, and controlled-phase gates. The universality of Gu is established by showing that itcan construct the universal set consisting of Hadamard, phase, Ø/8, and controlled-NOTgates. Sweep parameter values are provided which simulations indicate will produce thedifferent gates in Gu, and for which the gate error probability Pe satisfies: (i) Pe 10-4for the one-qubit gates; and (ii) Pe 1.27×10-3 for the modified controlled-phase gate.The sweeps in this class are non-composite and generate controllable quantum interferenceeffects that allow the gates in Gu to operate non-adiabatically while maintaininghigh fidelity. These interference effects have been observed using NMR, and it has previouslybeen shown how these rapid passage sweeps can be applied to atomic systemsusing electric fields. Here we show how these sweeps can be applied to both superconductingcharge and flux qubit systems. The simulations suggest that the universal setof gates Gu produced by these rapid passage sweeps shows promise as possible elementsof a fault-tolerant scheme for quantum computing.