Daniel Puzzuoli, Christopher Granade, et al.
Physical Review A - AMO
Randomised benchmarking is a widely used experimental technique to characterise the average error of quantum operations. Benchmarking procedures that scale to enable the characterisation of n-qubit circuits rely on efficient procedures for manipulating those circuits and, as such, have been limited to subgroups of the Clifford group. However, universal quantum computers require additional, non-Clifford gates to approximate arbitrary unitary transformations. We define a scalable randomised benchmarking procedure over n-qubit unitary matrices that correspond to protected non-Clifford gates for a class of stabiliser codes. We present efficient methods for representing and composing group elements, sampling them uniformly and synthesising corresponding poly (n)-sized circuits. The procedure provides experimental access to two independent parameters that together characterise the average gate fidelity of a group element.
Daniel Puzzuoli, Christopher Granade, et al.
Physical Review A - AMO
Jared B. Hertzberg, Eric J. Zhang, et al.
npj Quantum Information
Neereja Sundaresan, Theodore J. Yoder, et al.
Nature Communications
Martin Suchara, Andrew W. Cross, et al.
ISIT 2015