title: 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 the 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.
authors.affiliation: Institute for Advanced Research, Nagoya University, Chikusa-ku, Nagoya 464-8601, Japan.
authors.forename: Francesco
authors.initials: F
authors.lastname: Buscemi
authors.affiliation: Centre for Quantum Computation and Communication Technology (Australian Research Council), Centre for Quantum Dynamics, Griffith University, Brisbane, Queensland 4111, Australia.
authors.forename: Michael J W
authors.initials: MJ
authors.lastname: Hall
authors.affiliation: Graduate School of Information Science, Nagoya University, Chikusa-ku, Nagoya 464-8601, Japan.
authors.forename: Masanao
authors.initials: M
authors.lastname: Ozawa
authors.affiliation: Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA.
authors.forename: Mark M
authors.initials: MM
authors.lastname: Wilde