All Abstracts | Poster Abstracts | Talk Abstracts

Accurate quantum Z rotations with less magic

Chris Cesare, Center for Quantum Information and Control, Department of Physics and Astronomy, University of New Mexico

(Session 7b : Friday from 4:30 - 5:00)

Abstract. We present quantum protocols for executing arbitrarily accurate pi/2^k rotations of a qubit about its Z axis. Unlike reduced instruction set computing (RISC) protocols which use a two-step process of synthesizing high- fidelity "magic" states from which T = Z(pi/4) gates can be teleported and then compiling a sequence of adaptive stabilizer operations and T gates to approximate Z(pi/2^k), our complex instruction set computing (CISC) protocol distills magic states for the Z(pi/2^k) gates directly. Replacing this two-step process with a single step results in substantial reductions in the number of gates needed. The key to our construction is a family of shortened quantum Reed-Muller codes of length 2^(k+2)-1, whose distillation threshold shrinks with k but is greater than 0.85% for k <= 6. CC was supported in part by the Laboratory Directed Research and Development program at Sandia National Laboratories. Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000.