{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:27:38Z","timestamp":1740137258981,"version":"3.37.3"},"reference-count":73,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2020,9,25]],"date-time":"2020-09-25T00:00:00Z","timestamp":1600992000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,9,25]],"date-time":"2020-09-25T00:00:00Z","timestamp":1600992000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2020,10]]},"DOI":"10.1007\/s11128-020-02869-1","type":"journal-article","created":{"date-parts":[[2020,9,25]],"date-time":"2020-09-25T04:12:09Z","timestamp":1601007129000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Limitations imposed by complementarity"],"prefix":"10.1007","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3613-5455","authenticated-orcid":false,"given":"F. E. S.","family":"Steinhoff","sequence":"first","affiliation":[]},{"given":"M. C.","family":"de Oliveira","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,9,25]]},"reference":[{"key":"2869_CR1","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1007\/s11047-012-9353-6","volume":"12","author":"W van Dam","year":"2013","unstructured":"van Dam, W.: Implausible consequences of superstrong nonlocality. Nat. Comput. 12, 9\u201312 (2013). https:\/\/doi.org\/10.1007\/s11047-012-9353-6","journal-title":"Nat. Comput."},{"key":"2869_CR2","doi-asserted-by":"publisher","first-page":"250401","DOI":"10.1103\/PhysRevLett.96.250401","volume":"96","author":"G Brassard","year":"2006","unstructured":"Brassard, G., Buhrman, H., Linden, N., Methot, A.A., Tapp, A., Unger, F.: Limit on nonlocality in any world in which communication complexity is not trivial. Phys. Rev. Lett. 96, 250401 (2006). https:\/\/doi.org\/10.1103\/PhysRevLett.96.250401","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR3","doi-asserted-by":"publisher","first-page":"180502","DOI":"10.1103\/PhysRevLett.99.180502","volume":"99","author":"N Linden","year":"2007","unstructured":"Linden, N., Popescu, S., Short, A.J., Winter, A.: Quantum nonlocality and beyond: limits from nonlocal computation. Phys. Rev. Lett. 99, 180502 (2007). https:\/\/doi.org\/10.1103\/PhysRevLett.99.180502","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR4","doi-asserted-by":"publisher","first-page":"1101","DOI":"10.1038\/nature08400","volume":"461","author":"M Paw\u0142owski","year":"2009","unstructured":"Paw\u0142owski, M., Paterek, T., Kaszlikowski, D., et al.: Information causality as a physical principle. Nature 461, 1101\u20131104 (2009). https:\/\/doi.org\/10.1038\/nature08400","journal-title":"Nature"},{"key":"2869_CR5","doi-asserted-by":"publisher","first-page":"881","DOI":"10.1098\/rspa.2009.0453","volume":"466","author":"M Navascu\u00e9s","year":"2009","unstructured":"Navascu\u00e9s, M., Wunderlich, H.: A glance beyond the quantum model. Proc. R. Soc. A. 466, 881\u2013890 (2009). https:\/\/doi.org\/10.1098\/rspa.2009.0453","journal-title":"Proc. R. Soc. A."},{"key":"2869_CR6","doi-asserted-by":"publisher","first-page":"6288","DOI":"10.1038\/ncomms7288","volume":"6","author":"M Navascu\u00e9s","year":"2015","unstructured":"Navascu\u00e9s, M., Guryanova, Y., Hoban, M., et al.: Almost quantum correlations. Nat. Commun. 6, 6288 (2015). https:\/\/doi.org\/10.1038\/ncomms7288","journal-title":"Nat. Commun."},{"key":"2869_CR7","doi-asserted-by":"publisher","first-page":"172","DOI":"10.1007\/BF01397280","volume":"43","author":"W Heisenberg","year":"1927","unstructured":"Heisenberg, W.: \u00dcber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik. Z. Angew. Phys. 43, 172\u2013198 (1927). https:\/\/doi.org\/10.1007\/BF01397280","journal-title":"Z. Angew. Phys."},{"key":"2869_CR8","doi-asserted-by":"publisher","first-page":"580","DOI":"10.1038\/121580a0","volume":"121","author":"N Bohr","year":"1928","unstructured":"Bohr, N.: The quantum postulate and the recent development of atomic theory. Nature 121, 580\u2013590 (1928). https:\/\/doi.org\/10.1038\/121580a0","journal-title":"Nature"},{"key":"2869_CR9","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1016\/0375-9601(88)90114-4","volume":"128","author":"DM Greenberger","year":"1988","unstructured":"Greenberger, D.M., Yassin, A.: Simultaneous wave and particle knowledge in a neutron interferometer. Phys. Lett. A 128, 391\u2013394 (1988). https:\/\/doi.org\/10.1016\/0375-9601(88)90114-4","journal-title":"Phys. Lett. A"},{"key":"2869_CR10","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1103\/PhysRevA.51.54","volume":"51","author":"G Jaeger","year":"1995","unstructured":"Jaeger, G., Shimony, A., Vaidman, L.: Two interferometric complementarities. Phys. Rev. A 51, 54 (1995). https:\/\/doi.org\/10.1103\/PhysRevA.51.54","journal-title":"Phys. Rev. A"},{"key":"2869_CR11","doi-asserted-by":"publisher","first-page":"2154","DOI":"10.1103\/PhysRevLett.77.2154","volume":"77","author":"B-G Englert","year":"1996","unstructured":"Englert, B.-G.: Fringe visibility and which-way information: an inequality. Phys. Rev. Lett. 77, 2154 (1996). https:\/\/doi.org\/10.1103\/PhysRevLett.77.2154","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR12","volume-title":"The Feynman Lectures on Physics","author":"RP Feynman","year":"1966","unstructured":"Feynman, R.P., Leighton, R.B., Sands, M.: The Feynman Lectures on Physics, vol. 3. Addison-Wesley, New York (1966)"},{"key":"2869_CR13","doi-asserted-by":"crossref","unstructured":"Wheeler, J.A.: In: Wheeler, J.A., Zurek, W.H. (eds.) Quantum Theory and Measurement, pp. 182\u2013213. Princeton University Press, Princeton (1984)","DOI":"10.1515\/9781400854554"},{"key":"2869_CR14","doi-asserted-by":"publisher","first-page":"2208","DOI":"10.1103\/PhysRevA.25.2208","volume":"25","author":"MO Scully","year":"1982","unstructured":"Scully, M.O., Dr\u00fchl, K.: Quantum eraser: a proposed photon correlation experiment concerning observation and \u201cdelayed choice\u201d in quantum mechanics. Phys. Rev. A 25, 2208\u20132213 (1982). https:\/\/doi.org\/10.1103\/PhysRevA.25.2208","journal-title":"Phys. Rev. A"},{"key":"2869_CR15","doi-asserted-by":"publisher","first-page":"507","DOI":"10.1038\/353507b0","volume":"353","author":"A Zajonc","year":"1991","unstructured":"Zajonc, A., Wang, L., Zou, X., et al.: Quantum eraser. Nature 353, 507\u2013508 (1991). https:\/\/doi.org\/10.1038\/353507b0","journal-title":"Nature"},{"key":"2869_CR16","doi-asserted-by":"publisher","first-page":"3034","DOI":"10.1103\/PhysRevLett.75.3034","volume":"75","author":"TJ Herzog","year":"1995","unstructured":"Herzog, T.J., Kwiat, P.G., Weinfurter, H., Zeilinger, A.: Complementarity and the quantum eraser. Phys. Rev. Lett. 75, 3034\u20133037 (1995). https:\/\/doi.org\/10.1103\/PhysRevLett.75.3034","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1103\/PhysRevLett.84.1","volume":"84","author":"Y-H Kim","year":"2000","unstructured":"Kim, Y.-H., Yu, R., Kulik, S.P., Shih, Y., Scully, M.O.: Delayed \u201cchoice\u201d quantum eraser. Phys. Rev. Lett. 84, 1\u20135 (2000). https:\/\/doi.org\/10.1103\/PhysRevLett.84.1","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR18","doi-asserted-by":"publisher","first-page":"033818","DOI":"10.1103\/PhysRevA.65.033818","volume":"65","author":"SP Walborn","year":"2002","unstructured":"Walborn, S.P., Terra Cunha, M.O., P\u00e1dua, S., Monken, C.H.: Double-slit quantum eraser. Phys. Rev. A 65, 033818 (2002). https:\/\/doi.org\/10.1103\/PhysRevA.65.033818","journal-title":"Phys. Rev. A"},{"key":"2869_CR19","doi-asserted-by":"publisher","first-page":"966","DOI":"10.1126\/science.1136303","volume":"315","author":"V Jacques","year":"2007","unstructured":"Jacques, V., Wu, E., Grosshans, F., et al.: Experimental realization of Wheeler\u2019s delayed-choice Gedanken experiment. Science 315, 966\u2013968 (2007). https:\/\/doi.org\/10.1126\/science.1136303","journal-title":"Science"},{"key":"2869_CR20","doi-asserted-by":"publisher","first-page":"1221","DOI":"10.1073\/pnas.1213201110","volume":"110","author":"X-S Ma","year":"2012","unstructured":"Ma, X.-S., Kofler, J., Qarry, A., et al.: Quantum erasure with causally disconnected choice. PNAS 110, 1221\u20131226 (2012). https:\/\/doi.org\/10.1073\/pnas.1213201110","journal-title":"PNAS"},{"key":"2869_CR21","doi-asserted-by":"publisher","first-page":"230406","DOI":"10.1103\/PhysRevLett.107.230406","volume":"107","author":"R Ionicioiu","year":"2011","unstructured":"Ionicioiu, R., Terno, D.R.: Proposal for a quantum delayed-choice experiment. Phys. Rev. Lett. 107, 230406 (2011). https:\/\/doi.org\/10.1103\/PhysRevLett.107.230406","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR22","doi-asserted-by":"publisher","first-page":"032121","DOI":"10.1103\/PhysRevA.85.032121","volume":"85","author":"R Auccaise","year":"2012","unstructured":"Auccaise, R., Serra, R.M., Filgueiras, J.G., et al.: Experimental analysis of the quantum complementarity principle. Phys. Rev. A 85, 032121 (2012). https:\/\/doi.org\/10.1103\/PhysRevA.85.032121","journal-title":"Phys. Rev. A"},{"key":"2869_CR23","doi-asserted-by":"publisher","first-page":"022109","DOI":"10.1103\/PhysRevA.85.022109","volume":"85","author":"SS Roy","year":"2012","unstructured":"Roy, S.S., Shukla, A., Mahesh, T.S.: NMR implementation of a quantum delayed-choice experiment. Phys. Rev. A 85, 022109 (2012). https:\/\/doi.org\/10.1103\/PhysRevA.85.022109","journal-title":"Phys. Rev. A"},{"key":"2869_CR24","doi-asserted-by":"publisher","first-page":"014103","DOI":"10.1103\/PhysRevA.88.014103","volume":"88","author":"J-S Tang","year":"2013","unstructured":"Tang, J.-S., Li, Y.-L., Li, C.-F., Guo, G.-C.: Revisiting Bohr\u2019s principle of complementarity with a quantum device. Phys. Rev. A 88, 014103 (2013). https:\/\/doi.org\/10.1103\/PhysRevA.88.014103","journal-title":"Phys. Rev. A"},{"key":"2869_CR25","doi-asserted-by":"publisher","first-page":"634","DOI":"10.1126\/science.1226719","volume":"338","author":"A Peruzzo","year":"2012","unstructured":"Peruzzo, A., Shadbolt, P., Brunner, N., Popescu, S., O\u2019Brien, J.L.: A quantum delayed choice experiment. Science 338, 634\u2013637 (2012). https:\/\/doi.org\/10.1126\/science.1226719","journal-title":"Science"},{"key":"2869_CR26","doi-asserted-by":"publisher","first-page":"637","DOI":"10.1126\/science.1226755","volume":"338","author":"F Kaiser","year":"2012","unstructured":"Kaiser, F., Coudreau, T., Milman, P., Ostrowsky, D.B., Tanzilli, S.: Entanglement-enabled delayed choice experiment. Science 338, 637\u2013640 (2012). https:\/\/doi.org\/10.1126\/science.1226755","journal-title":"Science"},{"key":"2869_CR27","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1117\/12.638774","volume":"5866","author":"SS Afshar","year":"2007","unstructured":"Afshar, S.S.: Violation of the principle of complementarity, and its implications. Proc. SPIE 5866, 229\u2013244 (2007). https:\/\/doi.org\/10.1117\/12.638774","journal-title":"Proc. SPIE"},{"key":"2869_CR28","doi-asserted-by":"publisher","first-page":"649","DOI":"10.1016\/j.shpsb.2005.04.006","volume":"36","author":"RE Kastner","year":"2005","unstructured":"Kastner, R.E.: Why the Afshar experiment does not refute complementarity? Stud. Hist. Philos. Mod. Phys. 36, 649\u2013658 (2005). https:\/\/doi.org\/10.1016\/j.shpsb.2005.04.006","journal-title":"Stud. Hist. Philos. Mod. Phys."},{"key":"2869_CR29","doi-asserted-by":"publisher","first-page":"1370","DOI":"10.1007\/s10701-007-9153-5","volume":"37","author":"O Steuernagel","year":"2007","unstructured":"Steuernagel, O.: Afshar\u2019s experiment does not show a violation of complementarity. Found. Phys. 37, 1370\u20131385 (2007). https:\/\/doi.org\/10.1007\/s10701-007-9153-5","journal-title":"Found. Phys."},{"key":"2869_CR30","doi-asserted-by":"publisher","first-page":"123009","DOI":"10.1088\/1367-2630\/10\/12\/123009","volume":"10","author":"V Jacques","year":"2008","unstructured":"Jacques, V., Lai, N.D., Dr\u00e9au, A., et al.: Illustration of quantum complementarity using single photons interfering on a grating. New J. Phys. 10, 123009 (2008). https:\/\/doi.org\/10.1088\/1367-2630\/10\/12\/123009","journal-title":"New J. Phys."},{"key":"2869_CR31","first-page":"97","volume":"2","author":"DD Georgiev","year":"2007","unstructured":"Georgiev, D.D.: Single photon experiments and quantum complementarity. Prog. Phys. 2, 97\u2013103 (2007)","journal-title":"Prog. Phys."},{"key":"2869_CR32","doi-asserted-by":"publisher","first-page":"116001","DOI":"10.1088\/0034-4885\/74\/11\/116001","volume":"74","author":"C Ferrie","year":"2011","unstructured":"Ferrie, C.: Quasi-probability representations of quantum theory with applications to quantum information science. Rep. Prog. Phys. 74, 116001 (2011). https:\/\/doi.org\/10.1088\/0034-4885\/74\/11\/116001","journal-title":"Rep. Prog. Phys."},{"key":"2869_CR33","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1103\/PhysRev.34.163","volume":"34","author":"HP Robertson","year":"1929","unstructured":"Robertson, H.P.: The uncertainty principle. Phys. Rev. 34, 163\u2013164 (1929). https:\/\/doi.org\/10.1103\/PhysRev.34.163","journal-title":"Phys. Rev."},{"key":"2869_CR34","volume-title":"Atomic Theory and the Description of Nature","author":"N Bohr","year":"1934","unstructured":"Bohr, N.: Atomic Theory and the Description of Nature. Cambridge University Press, Cambridge (1934)"},{"key":"2869_CR35","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1038\/136065a0","volume":"121","author":"N Bohr","year":"1935","unstructured":"Bohr, N.: Quantum mechanics and physical reality. Nature 121, 65 (1935). https:\/\/doi.org\/10.1038\/136065a0","journal-title":"Nature"},{"key":"2869_CR36","volume-title":"The causality Problem in Atomic Physics, in New Theories in Physics","author":"N Bohr","year":"1939","unstructured":"Bohr, N.: The causality Problem in Atomic Physics, in New Theories in Physics. International Institute of Intellectual Cooperation, Paris (1939)"},{"key":"2869_CR37","volume-title":"Discussion with Einstein on Epistemological Problems in Atomic Physics, in Alber Einstein: Philosopher-Scientist","author":"N Bohr","year":"1949","unstructured":"Bohr, N.: Discussion with Einstein on Epistemological Problems in Atomic Physics, in Alber Einstein: Philosopher-Scientist. Lybrary of Living Philosophers, Evanston, Illinois (1949)"},{"key":"2869_CR38","volume-title":"Essays 1958\u20131962 on Atomic Physics and Human Knowledge","author":"N Bohr","year":"1963","unstructured":"Bohr, N.: Essays 1958\u20131962 on Atomic Physics and Human Knowledge. Wyley, New York (1963)"},{"key":"2869_CR39","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1016\/j.shpsb.2010.04.003","volume":"41","author":"ME Cuffaro","year":"2010","unstructured":"Cuffaro, M.E.: The Kantian framework of complementarity. Stud. Hist. Philos. Mod. Phys. 41, 309\u2013317 (2010). https:\/\/doi.org\/10.1016\/j.shpsb.2010.04.003","journal-title":"Stud. Hist. Philos. Mod. Phys."},{"key":"2869_CR40","doi-asserted-by":"publisher","first-page":"789","DOI":"10.1007\/BF00670506","volume":"19","author":"PJ Lahti","year":"1979","unstructured":"Lahti, P.J.: Uncertainty and complementarity in axiomatic quantum mechanics. Int. J. Theor. Phys. 19, 789\u2013842 (1979). https:\/\/doi.org\/10.1007\/BF00670506","journal-title":"Int. J. Theor. Phys."},{"key":"2869_CR41","doi-asserted-by":"publisher","first-page":"777","DOI":"10.1103\/PhysRev.47.777","volume":"47","author":"A Einstein","year":"1935","unstructured":"Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777\u2013780 (1935). https:\/\/doi.org\/10.1103\/PhysRev.47.777","journal-title":"Phys. Rev."},{"key":"2869_CR42","doi-asserted-by":"publisher","first-page":"065002","DOI":"10.1088\/0031-8949\/87\/06\/065002","volume":"87","author":"GM Bosyk","year":"2013","unstructured":"Bosyk, G.M., Portesi, M., Holik, F., Plastino, A.: On the connection between complementarity and uncertainty principles in the Mach\u2013Zehnder interferometric setting. Phys. Scrip. 87, 065002 (2013). https:\/\/doi.org\/10.1088\/0031-8949\/87\/06\/065002","journal-title":"Phys. Scrip."},{"key":"2869_CR43","doi-asserted-by":"publisher","first-page":"1041","DOI":"10.1088\/0305-4470\/23\/7\/013","volume":"23","author":"U Larsen","year":"1990","unstructured":"Larsen, U.: Superspace geometry: the exact uncertainty relationship between complementary aspects. J. Phys. A Math. Gen. 23, 1041 (1990). https:\/\/doi.org\/10.1088\/0305-4470\/23\/7\/013","journal-title":"J. Phys. A Math. Gen."},{"key":"2869_CR44","doi-asserted-by":"publisher","first-page":"032108","DOI":"10.1103\/PhysRevA.67.032108","volume":"67","author":"A Luis","year":"2003","unstructured":"Luis, A.: Complementarity and duality relations for finite-dimensional systems. Phys. Rev. A 67, 032108 (2003). https:\/\/doi.org\/10.1103\/PhysRevA.67.032108","journal-title":"Phys. Rev. A"},{"key":"2869_CR45","doi-asserted-by":"publisher","first-page":"631","DOI":"10.1103\/PhysRevLett.50.631","volume":"50","author":"D Deutsch","year":"1982","unstructured":"Deutsch, D.: Uncertainty in quantum measurements. Phys. Rev. Lett. 50, 631\u2013633 (1982). https:\/\/doi.org\/10.1103\/PhysRevLett.50.631","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR46","doi-asserted-by":"publisher","first-page":"1103","DOI":"10.1103\/PhysRevLett.60.1103","volume":"60","author":"H Maassen","year":"1988","unstructured":"Maassen, H., Uffink, J.B.M.: Generalized entropic uncertainty relations. Phys. Rev. Lett. 60, 1103\u20131106 (1988). https:\/\/doi.org\/10.1103\/PhysRevLett.60.1103","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR47","doi-asserted-by":"publisher","first-page":"025009","DOI":"10.1088\/1367-2630\/12\/2\/025009","volume":"12","author":"S Wehner","year":"2010","unstructured":"Wehner, S., Winter, A.: Entropic uncertainty relations\u2014a survey. New J. Phys. 12, 025009 (2010). https:\/\/doi.org\/10.1088\/1367-2630\/12\/2\/025009","journal-title":"New J. Phys."},{"key":"2869_CR48","doi-asserted-by":"publisher","first-page":"020401","DOI":"10.1103\/PhysRevLett.101.020401","volume":"101","author":"RW Spekkens","year":"2008","unstructured":"Spekkens, R.W.: Negativity and contextuality are equivalent notions of nonclassicality. Phys. Rev. Lett. 101, 020401 (2008). https:\/\/doi.org\/10.1103\/PhysRevLett.101.020401","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR49","doi-asserted-by":"publisher","first-page":"052108","DOI":"10.1103\/PhysRevA.71.052108","volume":"71","author":"RW Spekkens","year":"2005","unstructured":"Spekkens, R.W.: Contextuality for preparations, transformations, and unsharp measurements. Phys. Rev. A 71, 052108 (2005). https:\/\/doi.org\/10.1103\/PhysRevA.71.052108","journal-title":"Phys. Rev. A"},{"key":"2869_CR50","doi-asserted-by":"publisher","first-page":"326","DOI":"10.1016\/j.aop.2014.10.016","volume":"353","author":"P Blasiak","year":"2015","unstructured":"Blasiak, P.: Classical systems can be contextual too: Analogue of the Mermin\u2013Peres square. Ann. Phys. 353, 326\u2013339 (2015). https:\/\/doi.org\/10.1016\/j.aop.2014.10.016","journal-title":"Ann. Phys."},{"key":"2869_CR51","doi-asserted-by":"publisher","first-page":"012311","DOI":"10.1103\/PhysRevA.70.032331","volume":"69","author":"C Altafini","year":"2004","unstructured":"Altafini, C.: Representing multiqubit unitary evolutions via Stokes tensors. Phys. Rev. A 69, 012311 (2004). https:\/\/doi.org\/10.1103\/PhysRevA.70.032331","journal-title":"Phys. Rev. A"},{"key":"2869_CR52","doi-asserted-by":"publisher","first-page":"032104","DOI":"10.1063\/1.2181827","volume":"47","author":"C Altafini","year":"2006","unstructured":"Altafini, C., Havel, T.F.: Reflection symmetries for multiqubit density operators. J. Math. Phys. 47, 032104 (2006). https:\/\/doi.org\/10.1063\/1.2181827","journal-title":"J. Math. Phys."},{"key":"2869_CR53","doi-asserted-by":"publisher","first-page":"911","DOI":"10.1007\/BF02080476","volume":"22","author":"PJ Lahti","year":"1983","unstructured":"Lahti, P.J.: Hilbertian quantum theory as the theory of complementarity. Int. J. Theor. Phys. 22, 911\u2013929 (1983). https:\/\/doi.org\/10.1007\/BF02080476","journal-title":"Int. J. Theor. Phys."},{"key":"2869_CR54","doi-asserted-by":"publisher","first-page":"140404","DOI":"10.1103\/PhysRevLett.104.140404","volume":"104","author":"A Acin","year":"2010","unstructured":"Acin, A., Augusiak, R., Cavalcanti, D., et al.: Unified framework for correlations in terms of local quantum observables. Phys. Rev. Lett. 104, 140404 (2010). https:\/\/doi.org\/10.1103\/PhysRevLett.104.140404","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR55","doi-asserted-by":"publisher","first-page":"170403","DOI":"10.1103\/PhysRevLett.111.170403","volume":"111","author":"S Al Safi","year":"2013","unstructured":"Al Safi, S., Short, A.J.: Simulating all nonsignaling correlations via classical or quantum theory with negative probabilities. Phys. Rev. Lett. 111, 170403 (2013). https:\/\/doi.org\/10.1103\/PhysRevLett.111.170403","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR56","doi-asserted-by":"publisher","first-page":"190402","DOI":"10.1103\/PhysRevLett.101.190402","volume":"101","author":"B Dakic","year":"2008","unstructured":"Dakic, B., Suvakov, M., Paterek, T., Brukner, C.: Efficient hidden-variable simulation of measurements in quantum experiments phys. Rev. Lett. 101, 190402 (2008). https:\/\/doi.org\/10.1103\/PhysRevLett.101.190402","journal-title":"Rev. Lett."},{"key":"2869_CR57","doi-asserted-by":"publisher","first-page":"032110","DOI":"10.1103\/PhysRevA.75.032110","volume":"75","author":"RW Spekkens","year":"2007","unstructured":"Spekkens, R.W.: Evidence for the epistemic view of quantum states: a toy theory. Phys. Rev. A 75, 032110 (2007). https:\/\/doi.org\/10.1103\/PhysRevA.75.032110","journal-title":"Phys. Rev. A"},{"key":"2869_CR58","doi-asserted-by":"publisher","first-page":"847","DOI":"10.1016\/j.physleta.2013.01.045","volume":"377","author":"P Blasiak","year":"2013","unstructured":"Blasiak, P.: Quantum cube: a toy model of a qubit. Phys. Lett. A 377, 847\u2013850 (2013). https:\/\/doi.org\/10.1016\/j.physleta.2013.01.045","journal-title":"Phys. Lett. A"},{"key":"2869_CR59","doi-asserted-by":"publisher","first-page":"032304","DOI":"10.1103\/PhysRevA.75.032304","volume":"75","author":"J Barrett","year":"2007","unstructured":"Barrett, J.: Information processing in generalized probabilistic theories. Phys. Rev. A 75, 032304 (2007). https:\/\/doi.org\/10.1103\/PhysRevA.75.032304","journal-title":"Phys. Rev. A"},{"key":"2869_CR60","doi-asserted-by":"publisher","first-page":"123050","DOI":"10.1088\/1367-2630\/16\/12\/123050","volume":"16","author":"N Brunner","year":"2014","unstructured":"Brunner, N., Kaplan, M., Leverrier, A., Skrzypczyk, P.: Dimension of physical systems, information processing, and thermodynamics. New J. Phys. 16, 123050 (2014). https:\/\/doi.org\/10.1088\/1367-2630\/16\/12\/123050","journal-title":"New J. Phys."},{"key":"2869_CR61","doi-asserted-by":"publisher","first-page":"880","DOI":"10.1103\/PhysRevLett.23.880","volume":"23","author":"JF Clauser","year":"1969","unstructured":"Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 23, 880 (1969). https:\/\/doi.org\/10.1103\/PhysRevLett.23.880","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR62","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1007\/BF00417500","volume":"4","author":"BS Tsirelson","year":"1980","unstructured":"Tsirelson, B.S.: Quantum generalizations of Bell inequalities. Lett. Math. Phys. 4, 93\u2013100 (1980). https:\/\/doi.org\/10.1007\/BF00417500","journal-title":"Lett. Math. Phys."},{"key":"2869_CR63","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1007\/BF02058098","volume":"24","author":"S Popescu","year":"1994","unstructured":"Popescu, S., Rohrlich, D.: Quantum nonlocality as an axiom. Found. Phys. 24, 379\u2013385 (1994). https:\/\/doi.org\/10.1007\/BF02058098","journal-title":"Found. Phys."},{"key":"2869_CR64","doi-asserted-by":"publisher","first-page":"022101","DOI":"10.1103\/PhysRevA.71.022101","volume":"72","author":"J Barrett","year":"2005","unstructured":"Barrett, J., Linden, N., Massar, S., Pironio, S., Popescu, S., Roberts, D.: Nonlocal correlations as an information theoretic resource. Phys. Rev. A 72, 022101 (2005). https:\/\/doi.org\/10.1103\/PhysRevA.71.022101","journal-title":"Phys. Rev. A"},{"key":"2869_CR65","volume-title":"Quantum Computation and Quantum Information","author":"MA Nielsen","year":"2000","unstructured":"Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)"},{"key":"2869_CR66","doi-asserted-by":"publisher","first-page":"022332","DOI":"10.1103\/PhysRevA.88.022332","volume":"88","author":"D Ahn","year":"2013","unstructured":"Ahn, D., Myers, C.R., Ralph, T.C., Mann, R.B.: Quantum-state cloning in the presence of a closed timelike curve. Phys. Rev. A 88, 022332 (2013). https:\/\/doi.org\/10.1103\/PhysRevA.88.022332","journal-title":"Phys. Rev. A"},{"key":"2869_CR67","doi-asserted-by":"publisher","first-page":"190401","DOI":"10.1103\/PhysRevLett.111.190401","volume":"111","author":"TA Brun","year":"2013","unstructured":"Brun, T.A., Wilde, M.M., Winter, A.: Quantum state cloning using Deutschian closed timelike curves. Phys. Rev. Lett. 111, 190401 (2013). https:\/\/doi.org\/10.1103\/PhysRevLett.111.190401","journal-title":"Phys. Rev. Lett."},{"key":"2869_CR68","first-page":"885","volume":"6","author":"AM Gleason","year":"1957","unstructured":"Gleason, A.M.: Measures on the closed subspaces of a Hilbert space. J. Math. Mech. 6, 885 (1957)","journal-title":"J. Math. Mech."},{"key":"2869_CR69","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511810817","volume-title":"Matrix Analysis","author":"RA Horn","year":"1985","unstructured":"Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge (1985)"},{"key":"2869_CR70","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511535048","volume-title":"Geometry of Quantum States, An Introduction to Quantum Entanglement","author":"I Bengtsson","year":"2006","unstructured":"Bengtsson, I., \u017byczkowski, K.: Geometry of Quantum States, An Introduction to Quantum Entanglement. Cambridge University Press, Cambridge (2006)"},{"key":"2869_CR71","doi-asserted-by":"publisher","first-page":"235303","DOI":"10.1088\/1751-8113\/41\/23\/235303","volume":"41","author":"RA Bertlmann","year":"2008","unstructured":"Bertlmann, R.A., Krammer, P.: Bloch vectors for qudits. J. Phys. A Math. Theor. 41, 235303 (2008). https:\/\/doi.org\/10.1088\/1751-8113\/41\/23\/235303","journal-title":"J. Phys. A Math. Theor."},{"key":"2869_CR72","doi-asserted-by":"publisher","first-page":"010301(R)","DOI":"10.1103\/PhysRevA.94.010301","volume":"94","author":"A Asadian","year":"2016","unstructured":"Asadian, A., Erker, P., Huber, M., Kl\u00f6kl, C.: Heisenberg-Weyl observables: Bloch vectors in phase space. Phys. Rev. A 94, 010301(R) (2016). https:\/\/doi.org\/10.1103\/PhysRevA.94.010301","journal-title":"Phys. Rev. A"},{"key":"2869_CR73","doi-asserted-by":"publisher","first-page":"080402","DOI":"10.1103\/PhysRevLett.104.080402","volume":"104","author":"D Gross","year":"2010","unstructured":"Gross, D., M\u00fcller, M., Colbeck, R., Dahlsten, O.C.O., et al.: All reversible dynamics in maximally nonlocal theories are trivial. Phys. Rev. Lett. 104, 080402 (2010). https:\/\/doi.org\/10.1103\/PhysRevLett.104.080402","journal-title":"Phys. Rev. Lett."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-020-02869-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-020-02869-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-020-02869-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,25]],"date-time":"2021-09-25T00:55:53Z","timestamp":1632531353000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-020-02869-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,25]]},"references-count":73,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2020,10]]}},"alternative-id":["2869"],"URL":"https:\/\/doi.org\/10.1007\/s11128-020-02869-1","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"type":"print","value":"1570-0755"},{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2020,9,25]]},"assertion":[{"value":"16 May 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 September 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 September 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"358"}}