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Resolving the problem of definite outcomes of measurements

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arxiv 1502.06585 v4 pith:MLMPBXRF submitted 2015-02-23 quant-ph

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keywords definiteeigenvaluesmeasurementoutcomesquantumsolutioncorrelationsentangled
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The heart of the measurement puzzle, namely the problem of definite outcomes, remains unresolved. This paper shows that Josef Jauch's 1968 reduced density operator approach is the solution, even though many question it: The entangled "Measurement State" implies local mixtures of definite but indeterminate eigenvalues even though the MS continues evolving unitarily. A second, independent, argument based on the quantum's nonlocal entanglement with its measuring apparatus shows that the outcomes must be definite eigenvalues because of relativity's ban on instant signaling. Experiments with entangled photon pairs show the MS to be a non-paradoxical superposition of correlations between states rather than a "Schrodinger's cat" superposition of states. Nature's measurement strategy is to shift the superposition--the coherence--from the detected quantum to the correlations between the quantum and its detector, allowing both subsystems to collapse locally to mixtures of definite eigenvalues. This solution implies an innocuous revision of the standard eigenvalue-eigenstate link. Three frequent objections to this solution are rebutted.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Generalized rules for coherence transfer from local to global scale

    quant-ph 2019-08 reject novelty 3.0 of 10

    A generalization of two-photon interferometry shows local detection probabilities are phase-independent for path-entangled photons, a known effect repackaged as a new principle of 'mutual intolerance'.

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