General Qubit Errors Cannot Be Corrected

Details General Qubit Errors Cannot Be Corrected General Qubit Errors Cannot Be Corrected

2002-06-20

arxiv.org/abs/quant-ph/0206144v4

Information Sciences, vol. 152, pp. 195-202, 2003

Physics

Quantum Physics

10 pages; with corrections and additional arguments

Scientific paper

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.

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