General Qubit Errors Cannot Be Corrected
Quantum Physics
2007-05-23 v4 Condensed Matter
Atomic Physics
Abstract
Error correction, in the standard meaning of the term, implies the ability to correct all small analog errors and some large errors. Examining assumptions at the basis of the recently proposed quantum error-correcting codes, it is pointed out that these codes can correct only a subset of errors, and are unable to correct small phase errors which can have disastrous consequences for a quantum computation. This shortcoming will restrict their usefulness in real applications.
Cite
@article{arxiv.quant-ph/0206144,
title = {General Qubit Errors Cannot Be Corrected},
author = {Subhash Kak},
journal= {arXiv preprint arXiv:quant-ph/0206144},
year = {2007}
}
Comments
10 pages; with corrections and additional arguments