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POIR.04.04.00-00-17C1\/18-00"],"award-info":[{"award-number":["no. POIR.04.04.00-00-17C1\/18-00"]}]}],"content-domain":{"domain":["quantum-journal.org"],"crossmark-restriction":false},"short-container-title":["Quantum"],"abstract":"<jats:p>The optimal allocation of resources is a crucial task for their efficient use in a wide range of practical applications in science and engineering. This paper investigates the optimal allocation of resources in multipartite quantum systems. In particular, we show the relevance of proportional fairness and optimal reliability criteria for the application of quantum resources. Moreover, we present optimal allocation solutions for an arbitrary number of qudits using measurement incompatibility as an exemplary resource theory. Besides, we study the criterion of optimal equitability and demonstrate its relevance to scenarios involving several resource theories such as nonlocality vs local contextuality. Finally, we highlight the potential impact of our results for quantum networks and other multi-party quantum information processing, in particular to the future Quantum Internet.<\/jats:p>","DOI":"10.22331\/q-2021-03-10-407","type":"journal-article","created":{"date-parts":[[2021,3,10]],"date-time":"2021-03-10T13:29:48Z","timestamp":1615382988000},"page":"407","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":2,"title":["Optimal allocation of quantum resources"],"prefix":"10.22331","volume":"5","author":[{"given":"Roberto","family":"Salazar","sequence":"first","affiliation":[{"name":"International Centre for Theory of Quantum Technologies, University of Gdansk, Wita Stwosza 63, 80-308 Gdansk, Poland"},{"name":"Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. \u0141ojasiewicza 11, 30-348 Krak\u00f3w, Poland"}]},{"given":"Tanmoy","family":"Biswas","sequence":"additional","affiliation":[{"name":"International Centre for Theory of Quantum Technologies, University of Gdansk, Wita Stwosza 63, 80-308 Gdansk, Poland"},{"name":"Institute of Theoretical Physics and Astrophysics, National Quantum Information Centre, Faculty of Mathematics, Physics and Informatics, University of Gdansk, Wita Stwosza 57, 80-308 Gdansk, Poland"}]},{"given":"Jakub","family":"Czartowski","sequence":"additional","affiliation":[{"name":"Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. \u0141ojasiewicza 11, 30-348 Krak\u00f3w, Poland"}]},{"given":"Karol","family":"\u017byczkowski","sequence":"additional","affiliation":[{"name":"Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, ul. \u0141ojasiewicza 11, 30-348 Krak\u00f3w, Poland"},{"name":"National Quantum Information Center of Gdansk, University of Gdansk, ul. Andersa 27 81-824 Sopot, Poland"},{"name":"Centrum Fizyki Teoretycznej PAN, Al. Lotnik\u00f3w 32\/46, 02-668 Warszawa, Poland"}]},{"given":"Pawe\u0142","family":"Horodecki","sequence":"additional","affiliation":[{"name":"International Centre for Theory of Quantum Technologies, University of Gdansk, Wita Stwosza 63, 80-308 Gdansk, Poland"},{"name":"National Quantum Information Center of Gdansk, University of Gdansk, ul. Andersa 27 81-824 Sopot, Poland"},{"name":"Faculty of Applied Physics and Mathematics, National Quantum Information Centre, Gdansk University of Technology, 80-233 Gdansk, Poland"}]}],"member":"9598","published-online":{"date-parts":[[2021,3,10]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. 81, 865 (2009), URL: https:\/\/doi.org\/10.1103\/RevModPhys.81.865.","DOI":"10.1103\/RevModPhys.81.865"},{"key":"1","doi-asserted-by":"publisher","unstructured":"F. G. S. L. 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