dorsal/arxiv
View SchemaToward fault-tolerant quantum computation without concatenation
| Authors | Eric Dennis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905027 |
| URL | https://arxiv.org/abs/quant-ph/9905027 |
| DOI | 10.1103/PhysRevA.63.052314 |
| Journal | Phys.Rev.A63:052314,2001 |
Abstract
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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"abstract": "It has been known that quantum error correction via concatenated codes can be\ndone with exponentially small failure rate if the error rate for physical\nqubits is below a certain accuracy threshold. Other, unconcatenated codes with\ntheir own attractive features-improved accuracy threshold, local\noperations-have also been studied. By iteratively distilling a certain\ntwo-qubit entangled state it is shown how to perform an encoded Toffoli gate,\nimportant for universal computation, on CSS codes that are either\nunconcatenated or, for a range of very large block sizes, singly concatenated.",
"arxiv_id": "quant-ph/9905027",
"authors": [
"Eric Dennis"
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"doi": "10.1103/PhysRevA.63.052314",
"journal_ref": "Phys.Rev.A63:052314,2001",
"title": "Toward fault-tolerant quantum computation without concatenation",
"url": "https://arxiv.org/abs/quant-ph/9905027"
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