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A general theory of empirical state determination in quantum physics: Part I

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Abstract

This paper develops a method for extracting from data the quantum theoretical state representation belonging to any reproducible empirical scheme for preparing a physical system, provided only that at least one observable has its possible values limited to a finite set. In Part I, we formulate a general systematic procedure, based on the concept of irreducible tensor operators, for the selection of sets of observables sufficiently large to permit the unambiguous determination of an unknown quantum state.

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References

  1. W. Band and J. L. Park,Found. Phys. 1, 133 (1970).

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  2. U. Fano and G. Racah,Irreducible Tensorial Sets (Academic Press, New York, 1959).

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This investigation was supported in part under a grant from Research Corporation and by Graduate School research funds.

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Park, J.L., Band, W. A general theory of empirical state determination in quantum physics: Part I. Found Phys 1, 211–226 (1971). https://doi.org/10.1007/BF00708608

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  • DOI: https://doi.org/10.1007/BF00708608

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