2013/10/31 by Francesco Buscemi, Michael J. W. Hall, Masanao Ozawa +1 · 139 citations
Computer Science · Mathematics · Physics and Astronomy · #Artificial intelligence #Combinatorics #Computer science #Disturbance (geology) #Invariant (physics) #Mathematics #Noise (video) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum information #Quantum mechanics #Quantum noise #Statistical physics #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physrevlett.112.050401
published in Physical Review Letters 112(5), 050401 (American Physical Society) · 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
arxiv created 2014/01/17 · openalex publication_date 2014/02/03 · arxiv updated 2014/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.