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Generalized Quantum Probability and Entanglement Enhancement Witnessing

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Abstract

It has been suggested (cf. Sinha et al. in Science 329:418, 2010) that the Born rule for quantum probability could be violated. It has also been suggested that, in a generalized version of quantum mechanical probability theory such as that proposed by Sorkin (Mod. Phys. Lett. A 9:3119, 1994) there might occur deviations from the predictions of quantum probability in cases where more than two paths are available to a self-interfering system. These would lead to additional contributions to interference. Here, these ideas, some in the theoretical context and some in the experimental context, are briefly reviewed and pragmatically extended to situations involving bipartite systems, so that corresponding interference enhancement due to entanglement might be witnessed.

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Acknowledgements

I would like to thank Gregor Weihs for bringing the experimental tests for deviant quantum probability to my attention and David Simon for helpful informal discussions.

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Authors and Affiliations

  1. Quantum Communication and Measurement Laboratory, Department of Electrical and Computer Engineering and Division of Natural Science and Mathematics, Boston University, Boston, MA, USA

    Gregg Jaeger

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  1. Gregg Jaeger
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Correspondence to Gregg Jaeger.

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Jaeger, G. Generalized Quantum Probability and Entanglement Enhancement Witnessing. Found Phys 42, 752–759 (2012). https://doi.org/10.1007/s10701-012-9633-0

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  • DOI: https://doi.org/10.1007/s10701-012-9633-0

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