2008/09/30 by Takayuki Miyadera, Hideki Imai · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Mathematical Analysis and Transform Methods #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1103/physreva.78.052119
published as Phys. Rev. A 78, 052119 (2008) · 7 pages, 1 figure. To appear in Phys. Rev. A
arxiv created 2008/11/22 · openalex publication_date 2008/11/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A limitation on simultaneous measurement of two arbitrary positive-operator-valued measures is discussed. In general, simultaneous measurement of two noncommutative observables is only approximately possible. Following Werner's formulation, we introduce a distance between observables to quantify an accuracy of measurement. We derive an inequality that relates the achievable accuracy with noncommutativity between two observables. As a byproduct a necessary condition for two positive-operator-valued measures to be simultaneously measurable is obtained.