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State Extended Uncertainty Relations

D. A. Trifonov
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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 \geq 1/2. Some possible applications of the new inequalities are noted.

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D. A. Trifonov. 2000-05-22. State Extended Uncertainty Relations. https://doi.org/10.1088/0305-4470%2F33%2F32%2F102

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