{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T17:10:24Z","timestamp":1773681024934,"version":"3.50.1"},"reference-count":18,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2017,3,3]],"date-time":"2017-03-03T00:00:00Z","timestamp":1488499200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We summarize a recent reconstruction of the quantum theory of qubits from rules constraining an observer\u2019s acquisition of information about physical systems. This review is accessible and fairly self-contained, focusing on the main ideas and results and not the technical details. The reconstruction offers an informational explanation for the architecture of the theory and speci\ufb01cally for its correlation structure. In particular, it explains entanglement, monogamy and non-locality compellingly from limited accessible information and complementarity. As a by-product, it also unravels new \u2018conserved informational charges\u2019 from complementarity relations that characterize the unitary group and the set of pure states.<\/jats:p>","DOI":"10.3390\/e19030098","type":"journal-article","created":{"date-parts":[[2017,3,3]],"date-time":"2017-03-03T11:30:04Z","timestamp":1488540604000},"page":"98","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["Quantum Theory from Rules on Information Acquisition"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7108-1184","authenticated-orcid":false,"given":"Philipp","family":"H\u00f6hn","sequence":"first","affiliation":[{"name":"Vienna Center for Quantum Science and Technology, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria"},{"name":"Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,3,3]]},"reference":[{"key":"ref_1","unstructured":"H\u00f6hn, P.A. (arXiv, 2014). Toolbox for reconstructing quantum theory from rules on information acquisition, arXiv."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"012102","DOI":"10.1103\/PhysRevA.95.012102","article-title":"Quantum theory from questions","volume":"95","author":"Wever","year":"2017","journal-title":"Phys. Rev. A"},{"key":"ref_3","unstructured":"Hardy, L. (arXiv, 2001). Quantum Theory From Five Reasonable Axioms, arXiv."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Halvorson, H. (2011). Deep Beauty, Cambridge University Press.","DOI":"10.1017\/CBO9780511976971"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"063001","DOI":"10.1088\/1367-2630\/13\/6\/063001","article-title":"A derivation of quantum theory from physical requirements","volume":"13","author":"Masanes","year":"2011","journal-title":"New J. Phys."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"012311","DOI":"10.1103\/PhysRevA.84.012311","article-title":"Informational derivation of quantum theory","volume":"84","author":"Chiribella","year":"2011","journal-title":"Phys. Rev. A"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"123029","DOI":"10.1088\/1367-2630\/16\/12\/123029","article-title":"Higher-order interference and single-system postulates characterizing quantum theory","volume":"16","author":"Barnum","year":"2014","journal-title":"New J. Phys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"090403","DOI":"10.1103\/PhysRevLett.109.090403","article-title":"Deriving Quantum Theory from Its Local Structure and Reversibility","volume":"109","author":"Masanes","year":"2012","journal-title":"Phys. Rev. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"023012","DOI":"10.1088\/1367-2630\/12\/2\/023012","article-title":"From information geometry to quantum theory","volume":"12","author":"Goyal","year":"2010","journal-title":"New J. Phys."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Appleby, M., Fuchs, C.A., Stacey, B.C., and Zhu, H. (arXiv, 2016). Introducing the Qplex: A Novel Arena for Quantum Theory, arXiv.","DOI":"10.1140\/epjd\/e2017-80024-y"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1637","DOI":"10.1007\/BF02302261","article-title":"Relational quantum mechanics","volume":"35","author":"Rovelli","year":"1996","journal-title":"Int. J. Theor. Phys."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1023\/A:1018820410908","article-title":"A Foundational Principle for Quantum Mechanics","volume":"29","author":"Zeilinger","year":"1999","journal-title":"Found. Phys."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Castell, L., and Ischebeck, O. (2003). Time, Quantum and Information, Springer.","DOI":"10.1007\/978-3-662-10557-3"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1017\/S0305004100013554","article-title":"Discussion of Probability Relations between Separated Systems","volume":"31","year":"1935","journal-title":"Math. Proc. Camb. Philos. Soc."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3354","DOI":"10.1103\/PhysRevLett.83.3354","article-title":"Operationally Invariant Information in Quantum Measurements","volume":"83","author":"Brukner","year":"1999","journal-title":"Phys. Rev. Lett."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"022113","DOI":"10.1103\/PhysRevA.63.022113","article-title":"Conceptual inadequacy of the Shannon information in quantum measurements","volume":"63","author":"Brukner","year":"2001","journal-title":"Phys. Rev. A"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"247902","DOI":"10.1103\/PhysRevLett.89.247902","article-title":"Practical Scheme for Quantum Computation with Any Two-Qubit Entangling Gate","volume":"89","author":"Bremner","year":"2002","journal-title":"Phys. Rev. Lett."},{"key":"ref_18","first-page":"773","article-title":"Exact universality from any entangling gate without inverses","volume":"9","author":"Harrow","year":"2009","journal-title":"Quant. Inf. 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