Chiral Spin Liquids and Quantum Error Correcting Codes

Details Chiral Spin Liquids and Quantum Error Correcting Codes Chiral Spin Liquids and Quantum Error Correcting Codes

2000-06-21

arxiv.org/abs/quant-ph/0006092v1

Phys. Rev. A 62, 062310 (2000)

Physics

Quantum Physics

9 pages, 3 figures

Scientific paper

10.1103/PhysRevA.62.062310

The possibility of using the two-fold topological degeneracy of spin-1/2 chiral spin liquid states on the torus to construct quantum error correcting codes is investigated. It is shown that codes constructed using these states on finite periodic lattices do not meet the necessary and sufficient conditions for correcting even a single qubit error with perfect fidelity. However, for large enough lattice sizes these conditions are approximately satisfied, and the resulting codes may therefore be viewed as approximate quantum error correcting codes.

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