Uncertainty principle for quantum instruments and computing

Details Uncertainty principle for quantum instruments and computing Uncertainty principle for quantum instruments and computing

2003-10-11

arxiv.org/abs/quant-ph/0310071v2

International Journal of Quantum Information (IJQI) 1, 569--588 (2003)

Physics

Quantum Physics

13 pages, Revtex4

Scientific paper

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.

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