Conditional probabilities and collapse in quantum measurements

Details Conditional probabilities and collapse in quantum measurements Conditional probabilities and collapse in quantum measurements

2008-01-11

arxiv.org/abs/0801.1805v1

International Journal of Theoretical Physics, Volume 47, Issue 9, (2008), pp. 2382-2392

Physics

Quantum Physics

15 pages

Scientific paper

10.1007/s10773-008-9672-7

We show that including both the system and the apparatus in the quantum description of the measurement process, and using the concept of conditional probabilities, it is possible to deduce the statistical operator of the system after a measurement with a given result, which gives the probability distribution for all possible consecutive measurements on the system. This statistical operator, representing the state of the system after the first measurement, is in general not the same that would be obtained using the postulate of collapse.

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