Threshold Error Penalty for Fault Tolerant Computation with Nearest Neighbour Communication
Quantum Physics
2007-05-23 v2
Abstract
The error threshold for fault tolerant quantum computation with concatenated encoding of qubits is penalized by internal communication overhead. Many quantum computation proposals rely on nearest-neighbour communication, which requires excess gate operations. For a qubit stripe with a width of L+1 physical qubits implementing L levels of concatenation, we find that the error threshold of 2.1x10^-5 without any communication burden is reduced to 1.2x10^-7 when gate errors are the dominant source of error. This ~175X penalty in error threshold translates to an ~13X penalty in the amplitude and timing of gate operation control pulses.
Cite
@article{arxiv.quant-ph/0411111,
title = {Threshold Error Penalty for Fault Tolerant Computation with Nearest Neighbour Communication},
author = {T. Szkopek and P. O. Boykin and H. Fan and V. Roychowdhury and E. Yablonovitch and G. Simms and M. Gyure and B. Fong},
journal= {arXiv preprint arXiv:quant-ph/0411111},
year = {2007}
}
Comments
minor correction