A small error-correction code for protecting three-qubit quantum information
Chui-Ping Yang+*, Shih-I Chu*, Siyuan Han+
+Department of Physics and Astronomy, University of Kansas, 66045 Lawrence, Kansas USA
*Department of Chemistry, University of Kansas, and Kansas for Advanced Scientific Computing, 66045 Lawrence, Kansas, USA
PACS: 03.65.Bz, 03.67.Lx, 89.70.+c
Abstract
We present a quantum error correction code which
protects three quantum bits (qubits) of quantum information against one
erasure, i.e., a single-qubit
arbitrary error at a known position. The present code has a high encoding
efficiency since only one auxiliary qubit is needed for one message qubit on
average. In addition, we note that the code can also work even in a worse
case that the interaction with environment causes a leakage out of the qubit
space. The code may have some applications in the storage of quantum
information for a small-scale quantum computing, quantum information
processing, and quantum communication.