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Q: Quantenoptik
Q 12: Quantum Information III
Q 12.5: Talk
Tuesday, April 3, 2001, 17:00–17:15, H 3010
Constructing measurements for A+B from measurements for A and B — •Dominik Janzing1 and Thomas Beth2 — 1Am Fasanengarten 5, 76131 Karlsruhe — 2Am Fasanengarten 5, 76131 Karlsruhe
We consider measurement processes for the observable A which project onto eigenstates of A. Since there is no obvious connection between the eigenspaces of A+B and those of A respectively B, it is not obvious how to relate the corresponding measurements either. We present an abstract model where a fixed interaction Hamiltonian between the measuring device and the measured system enables measurement procedures for every self-adjoint operator. Using Lie algebraic tools we construct procedures for the observables A+B, i[A,B], and AB+BA from those for A and B.