State Extended Uncertainty Relations

Authors: D.A. Trifonov
Journal-ref: J. Phys. A33 (2000) L299-L304 (slightly reduced version)

 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 |+AFw-psi> and |+AFw-phi> and  canonical observables the (entangled) extension of Heisenberg UR reads [+AFw-Delta p(+AFw-psi)]^2[+AFw-Delta q(+AFw-phi)]^2 +- [+AFw-Delta p(+AFw-phi)]^2[+AFw-Delta q(+AFw-psi)]^2 +AFw-geq 1/2. Some possible applications of the new inequalities are noted.
 
 
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