New derivation of Born's law and parameter estimation based on a relative state formulation

Details New derivation of Born's law and parameter estimation based on a relative state formulation New derivation of Born's law and parameter estimation based on a relative state formulation

2009-07-05

arxiv.org/abs/0907.0852v2

Physics

Quantum Physics

23 pages; Presentation and explanation are improved. Grammatical and typographical errors are corrected

Scientific paper

Excluding the concept of probability in quantum mechanics, we derive Born's law from the remaining postulates in quantum mechanics using type method. We also give a way of determining the unknown parameter in a state vector based on an indirect measurement model. While Deutsch adopt a concept of rational decision-maker who introduces probability, we adopt a concept of statistician in our measurement model and clarifies the distinguished feature of quantum measurement. Like many worlds interpretation, our scenario gives a simple solution for problem of measurement.

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