High-fidelity universal quantum gates (pp0936-0946)
          Ran Li and Frank Gaitan
          doi: https://doi.org/10.26421/QIC10.11-12-4
Abstracts: Twisted rapid passage is a type of non-adiabatic rapid passage that generates controllable quantum interference effects that were first observed experimentally in 2003. It is shown that twisted rapid passage sweeps can be used to implement a universal set of quantum gates G_U that operate with high-fidelity. The gate set G_U consists of the Hadamard and NOT gates, together with variants of the phase, π/8, and controlled-phase gates. For each gate g in G_U , sweep parameter values are provided which simulations indicate will produce a unitary operation that approximates g with error probability P_e < 10^{−4} . Note that all gates in G_U are implemented using a single family of control-field, and the error probability for each gate falls below the rough-and-ready estimate for the accuracy threshold Pa ~ 10^{−4} .
Key words:  fault-tolerant quantum computing, accuracy threshold, quantum interference, group-symmetrized evolution, non-adiabatic dynamics