General qubit errors cannot be corrected

Authors:
Subhash Kak
Affiliations:
Department of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, LA
Venue:
Information Sciences: an International Journal
Year:
2003

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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 shortcomings will restrict their usefulness in real applications.