Quantum Limits of Measurement and Computing Induced by Conservation Laws   and Uncertainty Relations
  A quantitative extension of the Wigner-Araki-Yanase theorem is obtained on the limitation on precise, non-disturbing measurements of observables which do not commute with additive conserved quantities, and applied to obtaining a limitation on the accuracy of quantum computing with computational bases which do not commute with angular momentum. 
Masanao Ozawa