dorsal/arxiv
View SchemaMultiple Particle Interference and Quantum Error Correction
| Authors | Andrew Steane |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9601029 |
| URL | https://arxiv.org/abs/quant-ph/9601029 |
| DOI | 10.1098/rspa.1996.0136 |
| Journal | Proc.Roy.Soc.Lond. A452 (1996) 2551 |
Abstract
The concept of multiple particle interference is discussed, using insights provided by the classical theory of error correcting codes. This leads to a discussion of error correction in a quantum communication channel or a quantum computer. Methods of error correction in the quantum regime are presented, and their limitations assessed. A quantum channel can recover from arbitrary decoherence of x qubits if K bits of quantum information are encoded using n quantum bits, where K/n can be greater than 1-2 H(2x/n), but must be less than 1 - 2 H(x/n). This implies exponential reduction of decoherence with only a polynomial increase in the computing resources required. Therefore quantum computation can be made free of errors in the presence of physically realistic levels of decoherence. The methods also allow isolation of quantum communication from noise and evesdropping (quantum privacy amplification).
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"abstract": "The concept of multiple particle interference is discussed, using insights\nprovided by the classical theory of error correcting codes. This leads to a\ndiscussion of error correction in a quantum communication channel or a quantum\ncomputer. Methods of error correction in the quantum regime are presented, and\ntheir limitations assessed. A quantum channel can recover from arbitrary\ndecoherence of x qubits if K bits of quantum information are encoded using n\nquantum bits, where K/n can be greater than 1-2 H(2x/n), but must be less than\n1 - 2 H(x/n). This implies exponential reduction of decoherence with only a\npolynomial increase in the computing resources required. Therefore quantum\ncomputation can be made free of errors in the presence of physically realistic\nlevels of decoherence. The methods also allow isolation of quantum\ncommunication from noise and evesdropping (quantum privacy amplification).",
"arxiv_id": "quant-ph/9601029",
"authors": [
"Andrew Steane"
],
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"quant-ph"
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"doi": "10.1098/rspa.1996.0136",
"journal_ref": "Proc.Roy.Soc.Lond. A452 (1996) 2551",
"title": "Multiple Particle Interference and Quantum Error Correction",
"url": "https://arxiv.org/abs/quant-ph/9601029"
},
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