dorsal/arxiv
View SchemaError Correction with Euclidean Qubits
| Authors | Alexander Yu. Vlasov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911074 |
| URL | https://arxiv.org/abs/quant-ph/9911074 |
| Journal | Quantum Computers & Computing 2 (2001) 68 |
Abstract
In classical case there is simplest method of error correction with using three equal bits instead of one. In the paper is shown, how the scheme fails for quantum error correction with complex vector spaces of usual quantum mechanics, but works in real and quaternionic cases. It is discussed also, how to implement the three qubits scheme with using encoding of quaternionic qubit by Majorana spinor. Necessary concepts and formulae from area of quantum error corrections are closely introduced and proved.
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"abstract": "In classical case there is simplest method of error correction with using\nthree equal bits instead of one. In the paper is shown, how the scheme fails\nfor quantum error correction with complex vector spaces of usual quantum\nmechanics, but works in real and quaternionic cases. It is discussed also, how\nto implement the three qubits scheme with using encoding of quaternionic qubit\nby Majorana spinor. Necessary concepts and formulae from area of quantum error\ncorrections are closely introduced and proved.",
"arxiv_id": "quant-ph/9911074",
"authors": [
"Alexander Yu. Vlasov"
],
"categories": [
"quant-ph"
],
"journal_ref": "Quantum Computers \u0026 Computing 2 (2001) 68",
"title": "Error Correction with Euclidean Qubits",
"url": "https://arxiv.org/abs/quant-ph/9911074"
},
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