Physics – Quantum Physics
Scientific paper
2009-11-06
Physics
Quantum Physics
5 pages, 3 figures. Improved discussion of the non-Markovian nature of the sequence of measurements
Scientific paper
I analyze consecutive projective measurements in quantum mechanics in terms of quantum information theory and a no-collapse picture of measurement. I show that the entropy of all detectors that consecutively measured a quantum state is given by the entropy of the last measurement, while the amount of information that any of the consecutive measurements has about the quantum state is equal to the entropy of the preparation, that is, the first measurement of the pure state. Because the entropy of consecutive measurements cannot decrease, the entropy of the last detector tends to its maximum irrespective of the preparation. The formalism leads to a succinct description of the quantum Zeno and anti-Zeno effects.
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