Correcting Quantum Errors In Higher Spin Systems
arXiv:quant-ph/9610023 · doi:10.1103/PhysRevA.55.R839
Abstract
I consider the theory of quantum error correcting code (QECC) where each quantum particle has more than two possible eigenstates. In this higher spin system, I report an explicit QECC that is related to the symmetry group . This QECC, which generalizes Shor's simple majority vote code, is able to correct errors arising from exactly one quantum particle. I also provide a simple encoding algorithm.
In REVTEX 3.0, requires AMS fonts. Typos corrected. To appear in PRA (Rapid Comm.)
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