State Extended Uncertainty Relations

Details State Extended Uncertainty Relations State Extended Uncertainty Relations

2000-05-22

arxiv.org/abs/quant-ph/0005086v1

J. Phys. A33 (2000) L299-L304 (slightly reduced version)

Physics

Quantum Physics

LaTex, 6 pages 15x23cm text, No figures

Scientific paper

10.1088/0305-4470/33/32/102

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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