{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T05:24:12Z","timestamp":1773465852338,"version":"3.50.1"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,12,8]],"date-time":"2016-12-08T00:00:00Z","timestamp":1481155200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11574022"],"award-info":[{"award-number":["11574022"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11174024"],"award-info":[{"award-number":["11174024"]}],"id":[{"id":"10.13039\/501100001809","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":[[2017,1]]},"DOI":"10.1007\/s11128-016-1481-y","type":"journal-article","created":{"date-parts":[[2016,12,8]],"date-time":"2016-12-08T12:50:19Z","timestamp":1481201419000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":167,"title":["The effects of mixedness and entanglement on the properties of the entropic uncertainty in Heisenberg model with Dzyaloshinski\u2013Moriya interaction"],"prefix":"10.1007","volume":"16","author":[{"given":"Xiao","family":"Zheng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guo-Feng","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,12,8]]},"reference":[{"key":"1481_CR1","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1007\/BF01397280","volume":"43","author":"W Heisenberg","year":"1927","unstructured":"Heisenberg, W.: \u00dcberden anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik. Z. Phys. 43, 172 (1927)","journal-title":"Z. Phys."},{"key":"1481_CR2","doi-asserted-by":"crossref","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 (1929)","journal-title":"Phys. Rev."},{"key":"1481_CR3","doi-asserted-by":"crossref","first-page":"3070","DOI":"10.1103\/PhysRevD.35.3070","volume":"35","author":"K Kraus","year":"1987","unstructured":"Kraus, K.: Complementary observables and uncertainty relations. Phys. Rev. D 35, 3070 (1987)","journal-title":"Phys. Rev. D"},{"key":"1481_CR4","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1038\/nphys2048","volume":"7","author":"R Prevedel","year":"2011","unstructured":"Prevedel, R., Hamel, D.R., Colbeck, R., Fisher, K., Resch, K.J.: Experimental investigation of the uncertainty principle in the presence of quantum memory and its application to witnessing entanglement. Nat. Phys. 7, 757 (2011)","journal-title":"Nat. Phys."},{"key":"1481_CR5","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1038\/nphys1734","volume":"6","author":"M Berta","year":"2010","unstructured":"Berta, M., Christandl, M., Colbeck, R., Renes, J.M., Renner, R.: The uncertainty principle in the presence of quantum memory. Nat. Phys. 6, 659 (2010)","journal-title":"Nat. Phys."},{"key":"1481_CR6","doi-asserted-by":"crossref","first-page":"020402","DOI":"10.1103\/PhysRevLett.103.020402","volume":"103","author":"JM Renes","year":"2009","unstructured":"Renes, J.M., Boileau, J.C.: Conjectured strong complementary information tradeoff. Phys. Rev. Lett. 103, 020402 (2009)","journal-title":"Phys. Rev. Lett."},{"key":"1481_CR7","doi-asserted-by":"crossref","first-page":"752","DOI":"10.1038\/nphys2047","volume":"7","author":"CF Li","year":"2011","unstructured":"Li, C.F., Xu, J.S., Xu, X.Y., Li, K., Guo, G.C.: Experimental investigation of the entanglement-assisted entropic uncertainty principle. Nat. Phys. 7, 752 (2011)","journal-title":"Nat. Phys."},{"key":"1481_CR8","doi-asserted-by":"crossref","first-page":"812","DOI":"10.1038\/ncomms1809","volume":"3","author":"J Cui","year":"2012","unstructured":"Cui, J., Gu, M., Kwek, L.C., Santos, M.F., Fan, H., Vedral, V.: Quantum phases with differing computational power. Nat. Commun. 3, 812 (2012)","journal-title":"Nat. Commun."},{"key":"1481_CR9","doi-asserted-by":"crossref","first-page":"110506","DOI":"10.1103\/PhysRevLett.106.110506","volume":"106","author":"M Tomamichel","year":"2011","unstructured":"Tomamichel, M., Renner, R.: Uncertainty relation for smooth entropies. Phys. Rev. Lett. 106, 110506 (2011)","journal-title":"Phys. Rev. Lett."},{"key":"1481_CR10","doi-asserted-by":"crossref","first-page":"210405","DOI":"10.1103\/PhysRevLett.108.210405","volume":"108","author":"PJ Coles","year":"2012","unstructured":"Coles, P.J., Colbeck, R., Yu, L., Zwolak, M.: Uncertainty relations from simple entropic properties. Phys. Rev. Lett. 108, 210405 (2012)","journal-title":"Phys. Rev. Lett."},{"key":"1481_CR11","doi-asserted-by":"crossref","first-page":"062334","DOI":"10.1103\/PhysRevA.86.062334","volume":"86","author":"PJ Coles","year":"2012","unstructured":"Coles, P.J.: Collapse of the quantum correlation hierarchy links entropic uncertainty to entanglement creation. Phys. Rev. A 86, 062334 (2012)","journal-title":"Phys. Rev. A"},{"key":"1481_CR12","doi-asserted-by":"crossref","first-page":"012113","DOI":"10.1103\/PhysRevA.86.012113","volume":"86","author":"ZY Xu","year":"2012","unstructured":"Xu, Z.Y., Yang, W.L., Feng, M.: Quantum-memory-assisted entropic uncertainty relation under noise. Phys. Rev. A 86, 012113 (2012)","journal-title":"Phys. Rev. A"},{"key":"1481_CR13","doi-asserted-by":"crossref","first-page":"1330","DOI":"10.1126\/science.1104149","volume":"306","author":"V Giovanetti","year":"2004","unstructured":"Giovanetti, V., Lloyd, S., Maccone, L.: Quantum-enhanced measurements: beating the standard quantum limit. Science 306, 1330 (2004)","journal-title":"Science"},{"key":"1481_CR14","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.physrep.2007.05.006","volume":"452","author":"P Busch","year":"2007","unstructured":"Busch, P., Heinonen, T., Lahti, P.J.: Heisenberg\u2019s uncertainty principle. Phys. Rep. 452, 155 (2007)","journal-title":"Phys. Rep."},{"key":"1481_CR15","doi-asserted-by":"crossref","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\u2013A survey. New J. Phys. 12, 025009 (2010)","journal-title":"New J. Phys."},{"key":"1481_CR16","doi-asserted-by":"crossref","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 (1988)","journal-title":"Phys. Rev. Lett."},{"key":"1481_CR17","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/0022-3697(58)90076-3","volume":"4","author":"I Dzyaloshinskii","year":"1958","unstructured":"Dzyaloshinskii, I.: A thermodynamic theory of \u201cweak\u201d ferromagnetism of antiferromagnetics. J. Phys. Chem. Solids 4, 241 (1958)","journal-title":"J. Phys. Chem. Solids"},{"key":"1481_CR18","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1103\/PhysRevLett.4.228","volume":"4","author":"T Moriya","year":"1960","unstructured":"Moriya, T.: New mechanism of anisotropic superexchange interaction. Phys. Rev. Lett. 4, 228 (1960)","journal-title":"Phys. Rev. Lett."},{"key":"1481_CR19","doi-asserted-by":"crossref","first-page":"034304","DOI":"10.1103\/PhysRevA.75.034304","volume":"75","author":"GF Zhang","year":"2007","unstructured":"Zhang, G.F.: Thermal entanglement and teleportation in a two-qubit Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction. Phys. Rev. A 75, 034304 (2007)","journal-title":"Phys. Rev. A"},{"key":"1481_CR20","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/BF01016429","volume":"52","author":"C Tsallis","year":"1988","unstructured":"Tsallis, C.: Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 52, 479 (1988)","journal-title":"J. Stat. Phys."},{"key":"1481_CR21","doi-asserted-by":"crossref","first-page":"063821","DOI":"10.1103\/PhysRevA.71.063821","volume":"71","author":"E Boukobza","year":"2005","unstructured":"Boukobza, E., Tannor, D.J.: Entropy exchange and entanglement in the Jaynes-Cummings model. Phys. Rev. A 71, 063821 (2005)","journal-title":"Phys. Rev. A"},{"key":"1481_CR22","first-page":"032338","volume":"86","author":"ML Hu","year":"2007","unstructured":"Hu, M.L., Fan, H.: Quantum-memory-assisted entropic uncertainty principle, teleportation, and entanglement witness in structured reservoirs. Phys. Rev. A 86, 032338 (2007)","journal-title":"Phys. Rev. A"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-016-1481-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-016-1481-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-016-1481-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,25]],"date-time":"2017-06-25T01:31:40Z","timestamp":1498354300000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-016-1481-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12,8]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["1481"],"URL":"https:\/\/doi.org\/10.1007\/s11128-016-1481-y","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12,8]]},"article-number":"1"}}