Error Correction with Euclidean Qubits

Details Error Correction with Euclidean Qubits Error Correction with Euclidean Qubits

1999-11-16

arxiv.org/abs/quant-ph/9911074v2

Quantum Computers & Computing 2 (2001) 68

Physics

Quantum Physics

13 pages \LaTeXe + amsmath, typo changes

Scientific paper

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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