Quantum Limits of Measurement and Computing Induced by Conservation Laws and Uncertainty Relations

Masanao Ozawa

Published 2002-10-08Version 1

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.