Quantum Stabilizer Codes and Classical Linear Codes

@inproceedings{Cleve1997QuantumSC,
  title={Quantum Stabilizer Codes and Classical Linear Codes},
  author={Richard Cleve},
  year={1997}
}
We show that within any quantum stabilizer code there lurks a classical binary linear code with similar error-correcting capabilities, thereby demonstrating new connections between quantum codes and classical codes. Using this result—which applies to degenerate as well as nondegenerate codes— previously established necessary conditions for classical linear codes can be easily translated into necessary conditions for quantum stabilizer codes. Examples of specific consequences are: for a quantum… CONTINUE READING

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