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arxiv: quant-ph/0005086 · v1 · submitted 2000-05-22 · 🪐 quant-ph · hep-th· math-ph· math.MP

State Extended Uncertainty Relations

classification 🪐 quant-ph hep-thmath-phmath.MP
keywords deltaobservablesrelationsstatesuncertaintyapplicationsbrieflycanonical
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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 |\psi> and |\phi> and canonical observables the (entangled) extension of Heisenberg UR reads [\Delta p(\psi)]^2[\Delta q(\phi)]^2 + [\Delta p(\phi)]^2[\Delta q(\psi)]^2 \geq 1/2. Some possible applications of the new inequalities are noted.

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