1999/11/23 by Alexander Yu. Vlasov
Physics and Astronomy · #quant-ph
published as Quantum Computers & Computing 2 (2001) 68 · 13 pages \LaTeXe + amsmath, typo changes
arxiv created 1999/11/23 · arxiv updated 2009/12/01
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.