Introduces noiseless quantum codes, the early decoherence-free-subspace picture in which symmetry of the system-environment coupling creates a subspace immune to specific noise operators.

Key Results

  • Proposes passive error protection via symmetry-protected subspaces rather than active correction
  • Identifies decoherence-free subspaces as eigenspaces where the environment cannot distinguish logical states
  • Establishes the algebraic foundation later used for DFS encodings and noiseless subsystems