2013/07/31 by Patrick J. Coles, Marco Piani · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.89.022112
published as Phys. Rev. A 89, 022112 (2014) · 11 pages, 1 figure, v2: close to published version
arxiv created 2014/02/18 · arxiv updated 2014/02/26
The uncertainty principle can be expressed in entropic terms, also taking into account the role of entanglement in reducing uncertainty. The information exclusion principle bounds instead the correlations that can exist between the outcomes of incompatible measurements on one physical system, and a second reference system. We provide a more stringent formulation of both the uncertainty principle and the information exclusion principle, with direct applications for, e.g., the security analysis of quantum key distribution, entanglement estimation, and quantum communication. We also highlight a fundamental distinction between the complementarity of observables in terms of uncertainty and in terms of information.