



01337nas a2200169   4500008004100000245007700041210006900118260001400187490000600201520082000207100001901027700002501046700001901071700002301090700001701113856003701130       2014                        eng d00aRobust Extraction of Tomographic Information via Randomized Benchmarking0 aRobust Extraction of Tomographic Information via Randomized Benc  c2014/3/250 v43 a  We describe how randomized benchmarking can be used to reconstruct the unital
part of any trace-preserving quantum map, which in turn is sufficient for the
full characterization of any unitary evolution, or more generally, any unital
trace-preserving evolution. This approach inherits randomized benchmarking's
robustness to preparation and measurement imperfections, therefore avoiding
systematic errors caused by these imperfections. We also extend these
techniques to efficiently estimate the average fidelity of a quantum map to
unitary maps outside of the Clifford group. The unitaries we consider include
operations commonly used to achieve universal quantum computation in a
fault-tolerant setting. In addition, we rigorously bound the time and sampling
complexities of randomized benchmarking procedures.
1 aKimmel, Shelby1 ada Silva, Marcus, P.1 aRyan, Colm, A.1 aJohnson, Blake, R.1 aOhki, Thomas  uhttp://arxiv.org/abs/1306.2348v1