Toward fault-tolerant quantum computation without concatenation

Details Toward fault-tolerant quantum computation without concatenation Toward fault-tolerant quantum computation without concatenation

1999-05-07

arxiv.org/abs/quant-ph/9905027v2

Phys.Rev.A63:052314,2001

Physics

Quantum Physics

12 pages, 2 figures, replaced: new stuff on error models, numerical example for concatenation criteria

Scientific paper

10.1103/PhysRevA.63.052314

It has been known that quantum error correction via concatenated codes can be done with exponentially small failure rate if the error rate for physical qubits is below a certain accuracy threshold. Other, unconcatenated codes with their own attractive features-improved accuracy threshold, local operations-have also been studied. By iteratively distilling a certain two-qubit entangled state it is shown how to perform an encoded Toffoli gate, important for universal computation, on CSS codes that are either unconcatenated or, for a range of very large block sizes, singly concatenated.

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