TY - JOUR
T1 - Robust Extraction of Tomographic Information via Randomized Benchmarking
JF - Physical Review X
Y1 - 2014
A1 - Shelby Kimmel
A1 - Marcus P. da Silva
A1 - Colm A. Ryan
A1 - Blake R. Johnson
A1 - Thomas Ohki
AB - 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.
VL - 4
UR - http://arxiv.org/abs/1306.2348v1
CP - 1
J1 - Phys. Rev. X
U5 - 10.1103/PhysRevX.4.011050
ER -