State Extended Uncertainty Relations
D. A. Trifonov
Abstract
A scheme for construction of uncertainty relations (UR) for n observables and m states is presented. Several lowest order UR are displayed and briefly discussed. For two states |ψ> and |ϕ> and canonical observables the (entangled) extension of Heisenberg UR reads [Δp(ψ)]2[Δq(ϕ)]2 + [Δp(ϕ)]2[Δq(ψ)]2 ≥ 1/2. Some possible applications of the new inequalities are noted.
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