2000/05/22 by D. A. Trifonov
Mathematics · Physics and Astronomy · #Algorithm #Computer science #Political science #Quantum Mechanics and Applications #State (computer science) #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/0305-4470/33/32/102
published as J. Phys. A33 (2000) L299-L304 (slightly reduced version) · LaTex, 6 pages 15x23cm text, No figures
arxiv created 2000/05/22 · openalex publication_date 2000/08/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A scheme for construction of uncertainty relations for n observables and m states is presented. Several lowest-order inequalities are displayed and briefly discussed. For two states |ψ⟩ and |ϕ⟩ and canonical observables the (entangled) extension of the Heisenberg relation reads [Δ p (ψ)] 2 [Δ q (ϕ)] 2 + [Δ p (ϕ)] 2 [Δ q (ψ)] 2 ⩾½.