State Extended Uncertainty Relations

الأصل · EN

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.