State Extended Uncertainty Relations
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 |> and |φ> and canonical observables the (entangled) extension of Heisenberg UR reads [ p()]2[ q(φ)]2 + [ p(φ)]2[ q()]2 ≥ 1/2. Some possible applications of the new inequalities are noted.
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