Noise and disturbance in quantum measurements: an information-theoretic approach
Abstract
We introduce information-theoretic definitions for noise and disturbance in quantum measurements and prove a state-independent noise-disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under relabelling of outcomes, and allow for the possibility of using quantum or classical operations to `correct' for the disturbance. We also show how our bound implies strong tradeoff relations for mean square deviations.
Keywords
Cite
@article{arxiv.1310.6603,
title = {Noise and disturbance in quantum measurements: an information-theoretic approach},
author = {Francesco Buscemi and Michael J. W. Hall and Masanao Ozawa and Mark M. Wilde},
journal= {arXiv preprint arXiv:1310.6603},
year = {2014}
}
Comments
v3: to appear on PRL (some issues fixed, supplemental material expanded). v2: replaced with submitted version; 5 two-column pages + 6 one-column pages + 3 figures; one issue corrected and few references added. v1: 17 pages, 3 figures