{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,23]],"date-time":"2023-02-23T12:34:47Z","timestamp":1677155687233},"reference-count":23,"publisher":"Open Publishing Association","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. Proc. Theor. Comput. Sci.","EPTCS"],"DOI":"10.4204\/eptcs.340.7","type":"journal-article","created":{"date-parts":[[2021,9,6]],"date-time":"2021-09-06T16:58:12Z","timestamp":1630947492000},"page":"141-159","source":"Crossref","is-referenced-by-count":2,"title":["Hyper-decoherence in Density Hypercubes"],"prefix":"10.4204","volume":"340","author":[{"given":"James","family":"Hefford","sequence":"first","affiliation":[{"name":"University of Oxford"}]},{"given":"Stefano","family":"Gogioso","sequence":"additional","affiliation":[{"name":"University of Oxford"}]}],"member":"2720","published-online":{"date-parts":[[2021,9,6]]},"reference":[{"key":"ashoush","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4204\/EPTCS.221.1","article-title":"Dual Density Operators and Natural Language Meaning","volume":"221","author":"Ashoush","year":"2016","journal-title":"EPTCS"},{"key":"chiribella_purification","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.81.062348","article-title":"Probabilistic theories with purification","volume":"81","author":"Chiribella","year":"2010","journal-title":"Phys. Rev. A"},{"issue":"043016","key":"coecke_zx","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/13\/4\/043016","article-title":"Interacting quantum observables: categorical algebra and diagrammatics","volume":"13","author":"Coecke","year":"2011","journal-title":"New Journal of Physics"},{"key":"coecke_double","article-title":"Meaning Updating of Density Matrices","volume":"arXiv:2001.00862v1","author":"Coecke","year":"2020","journal-title":"arXiv preprint"},{"issue":"3","key":"coecke_bases","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1017\/S0960129512000047","article-title":"A new description of orthogonal bases","volume":"23","author":"Coecke","year":"2013","journal-title":"Mathematical Structures in Computer Science"},{"key":"coecke_environment","doi-asserted-by":"publisher","DOI":"10.2168\/LMCS-8(4:14)2012","article-title":"Environment and classical channels in categorical quantum mechanics","volume":"8","author":"Coecke","year":"2012","journal-title":"Logical Methods in Computer Science"},{"key":"coecke_classicality","doi-asserted-by":"publisher","first-page":"104","DOI":"10.4204\/EPTCS.266.7","article-title":"Two Roads to Classicality","volume":"266","author":"Coecke","year":"2018","journal-title":"EPTCS"},{"key":"coecke2016terminality","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1007\/s00354-016-0201-6","article-title":"Terminality implies no-signalling... and much more than that","volume":"34","author":"Coecke","year":"2016","journal-title":"New Generation Computing"},{"issue":"4","key":"coecke2013causal","doi-asserted-by":"publisher","first-page":"458","DOI":"10.1007\/s10701-012-9646-8","article-title":"Causal categories: relativistically interacting processes","volume":"43","author":"Coecke","year":"2013","journal-title":"Foundations of Physics"},{"issue":"023028","key":"density_cubes","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/16\/2\/023028","article-title":"Density cubes and higher-order interference theories","volume":"16","author":"Daki\\'c","year":"2014","journal-title":"New Journal of Physics"},{"key":"gogioso_cpm","doi-asserted-by":"publisher","first-page":"145","DOI":"10.4204\/EPTCS.287.8","article-title":"Higher-order CPM Constructions","volume":"287","author":"Gogioso","year":"2019","journal-title":"EPTCS"},{"key":"gogioso_cpt","doi-asserted-by":"publisher","first-page":"367","DOI":"10.4204\/EPTCS.266.23","article-title":"Categorical Probabilistic Theories","volume":"266","author":"Gogioso","year":"2018","journal-title":"EPTCS"},{"key":"gogioso_hyper","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1007\/978-3-030-35895-210","article-title":"Density Hypercubes, Higher Order Interference and Hyper-decoherence: A Categorical Approach","volume-title":"Quantum Interaction","author":"Gogioso","year":"2019"},{"key":"kissinger_phasegadgets","article-title":"Reducing T-count with the ZX-calculus","volume":"arXiv:1903.10477","author":"Kissinger","year":"2019","journal-title":"arXiv preprint"},{"key":"lee_extensions","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/s10701-016-0045-4","article-title":"Higher-Order Interference in Extensions of Quantum Theory","volume":"47","author":"Lee","year":"2017","journal-title":"Found Phys"},{"issue":"20170732","key":"lee_nogo","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2017.0732","article-title":"A no-go theorem for theories that decohere to quantum mechanics","volume":"474","author":"Lee","year":"2018","journal-title":"Proc. R. Soc. A"},{"key":"piedeleu","article-title":"Open System Categorical Quantum Semantics in Natural Language Processing","volume":"arXiv:1502.00831","author":"Piedeleu","year":"2015","journal-title":"arXiv preprint"},{"key":"selinger","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1016\/j.entcs.2006.12.018","article-title":"Dagger Compact Closed Categories and Completely Positive Maps","volume":"170","author":"Selinger","year":"2007","journal-title":"Electronic Notes in Theoretical Computer Science"},{"key":"selinger_idempotents","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/j.entcs.2008.04.021","article-title":"Idempotents in Dagger Categories: (Extended Abstract)","volume":"210","author":"Selinger","year":"2008","journal-title":"Electronic Notes in Theoretical Computer Science"},{"issue":"33","key":"sorkin_measure","doi-asserted-by":"publisher","first-page":"3119","DOI":"10.1142\/S021773239400294X","article-title":"Quantum Mechanics as Quantum Measure Theory","volume":"9","author":"Sorkin","year":"1994","journal-title":"Mod. Phys. Lett. A"},{"key":"Sorkin2","first-page":"229","volume-title":"Quantum Classical Correspondence: The 4th Drexel Symposium on Quantum Nonintegrability","author":"Sorkin","year":"1997"},{"key":"coecke_dilation","doi-asserted-by":"publisher","first-page":"133","DOI":"10.4204\/EPTCS.266.9","article-title":"Double Dilation = Double Mixing","volume":"266","author":"Zwart","year":"2018","journal-title":"EPTCS"},{"issue":"355302","key":"quarticquantum","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/41\/35\/355302","article-title":"Quartic quantum theory: an extension of the standard quantum mechanics","volume":"41","author":"\u017byczkowski","year":"2008","journal-title":"J. Phys. A: Math. Theor."}],"container-title":["Electronic Proceedings in Theoretical Computer Science"],"original-title":[],"language":"en","deposited":{"date-parts":[[2021,9,8]],"date-time":"2021-09-08T03:10:27Z","timestamp":1631070627000},"score":1,"resource":{"primary":{"URL":"http:\/\/arxiv.org\/abs\/2003.08318v3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9,6]]},"references-count":23,"URL":"https:\/\/doi.org\/10.4204\/eptcs.340.7","relation":{},"ISSN":["2075-2180"],"issn-type":[{"value":"2075-2180","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,9,6]]}}}