Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
Quantum Physics
2014-04-02 v1 Mesoscale and Nanoscale Physics
Atomic and Molecular Clusters
Computational Physics
Abstract
We describe how a universal set of dynamically-corrected quantum gates can be implemented using sequences of shaped decoupling pulses on any qubit network forming a sparse bipartite graph with always-on Ising interactions. These interactions are constantly decoupled except when they are needed for two-qubit gates. We analytically study the error operators associated with the constructed gates up to third order in the Magnus expansion, analyze these errors numerically in the unitary time evolution of small qubit clusters, and give a bound on high-order errors for qubits on a large square lattice. We prove that with a large enough toric code the present gate set can be used to implement a fault-tolerant quantum memory.
Cite
@article{arxiv.1310.1652,
title = {Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code},
author = {Amrit De and Leonid P. Pryadko},
journal= {arXiv preprint arXiv:1310.1652},
year = {2014}
}