Uncertainty principle for quantum instruments and computing
量子物理
2007-05-23 v2
摘要
Recently, universally valid uncertainty relations have been established to set a precision limit for any instruments given a disturbance constraint in a form more general than the one originally proposed by Heisenberg. One of them leads to a quantitative generalization of the Wigner-Araki-Yanase theorem on the precision limit of measurements under conservation laws. Applying this, a rigorous lower bound is obtained for the gate error probability of physical implementations of Hadamard gates on a standard qubit of a spin 1/2 system by interactions with control fields or ancilla systems obeying the angular momentum conservation law.
引用
@article{arxiv.quant-ph/0310071,
title = {Uncertainty principle for quantum instruments and computing},
author = {Masanao Ozawa},
journal= {arXiv preprint arXiv:quant-ph/0310071},
year = {2007}
}
备注
13 pages, Revtex4