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dc.contributor.authorMartens, John C.
dc.contributor.authorRalston, John P.
dc.contributor.authorTakaki, J. D. Tapia
dc.date.accessioned2018-12-14T16:46:30Z
dc.date.available2018-12-14T16:46:30Z
dc.date.issued2017-12-30
dc.identifier.citationMartens, J.C., Ralston, J.P. & Takaki, J.D.T. Eur. Phys. J. C (2018) 78: 5. https://doi.org/10.1140/epjc/s10052-017-5455-8en_US
dc.identifier.urihttp://hdl.handle.net/1808/27506
dc.description.abstractQuantum tomography is a method to experimentally extract all that is observable about a quantum mechanical system. We introduce quantum tomography to collider physics with the illustration of the angular distribution of lepton pairs. The tomographic method bypasses much of the field-theoretic formalism to concentrate on what can be observed with experimental data. We provide a practical, experimentally driven guide to model-independent analysis using density matrices at every step. Comparison with traditional methods of analyzing angular correlations of inclusive reactions finds many advantages in the tomographic method, which include manifest Lorentz covariance, direct incorporation of positivity constraints, exhaustively complete polarization information, and new invariants free from frame conventions. For example, experimental data can determine the entanglement entropy of the production process. We give reproducible numerical examples and provide a supplemental standalone computer code that implements the procedure. We also highlight a property of complex positivity that guarantees in a least-squares type fit that a local minimum of a χ2 statistic will be a global minimum: There are no isolated local minima. This property with an automated implementation of positivity promises to mitigate issues relating to multiple minima and convention dependence that have been problematic in previous work on angular distributions.en_US
dc.publisherSpringerOpenen_US
dc.rightsThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.en_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en_US
dc.titleQuantum tomography for collider physics: illustrations with lepton-pair productionen_US
dc.typeArticleen_US
kusw.kudepartmentPhysics and Astronomyen_US
dc.identifier.doi10.1140/epjc/s10052-017-5455-8en_US
kusw.oaversionScholarly/refereed, publisher versionen_US
kusw.oapolicyThis item meets KU Open Access policy criteria.en_US
dc.rights.accessrightsopenAccessen_US


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This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Except where otherwise noted, this item's license is described as: This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.