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

Masanao Ozawa
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Abstract

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.

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Masanao Ozawa. 2002-10-08. Quantum Limits of Measurement and Computing Induced by Conservation Laws and Uncertainty Relations. https://arxiv.org/abs/quant-ph/0210046

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