{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T17:11:14Z","timestamp":1772730674133,"version":"3.50.1"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2018,5,21]],"date-time":"2018-05-21T00:00:00Z","timestamp":1526860800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"TUBITAK"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2018,7]]},"DOI":"10.1007\/s11128-018-1935-5","type":"journal-article","created":{"date-parts":[[2018,5,21]],"date-time":"2018-05-21T06:13:24Z","timestamp":1526883204000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Controlling the loss of quantum correlations via quantum memory channels"],"prefix":"10.1007","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9458-3715","authenticated-orcid":false,"given":"Durgun","family":"Duran","sequence":"first","affiliation":[]},{"given":"Abdullah","family":"Ver\u00e7in","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,5,21]]},"reference":[{"key":"1935_CR1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511976667","volume-title":"Quantum Computation and Quantum Information","author":"M Nielsen","year":"2010","unstructured":"Nielsen, M., Chuang, I.L.: Quantum Computation and Quantum Information, 10 Anniversary edn. Cambridge University Press, Cambridge (2010)","edition":"10 Anniversary"},{"key":"1935_CR2","doi-asserted-by":"publisher","first-page":"771","DOI":"10.1002\/1521-3978(200009)48:9\/11<771::AID-PROP771>3.0.CO;2-E","volume":"48","author":"DP DiVincenzo","year":"2000","unstructured":"DiVincenzo, D.P.: The physical implementation of quantum computation. Fortschr. Phys. 48, 771\u2013783 (2000)","journal-title":"Fortschr. Phys."},{"issue":"1","key":"1935_CR3","first-page":"1","volume":"7","author":"MB Plenio","year":"2007","unstructured":"Plenio, M.B., Virmani, S.: An introduction to entanglement measures. Quantum Inf. Comput. 7(1), 1\u201351 (2007)","journal-title":"Quantum Inf. Comput."},{"key":"1935_CR4","volume-title":"The Theory of Open Quantum Systems","author":"HP Breuer","year":"2002","unstructured":"Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)"},{"key":"1935_CR5","volume-title":"Decoherence and the Quantum-to-Classical Transition","author":"M Schlosshauer","year":"2008","unstructured":"Schlosshauer, M.: Decoherence and the Quantum-to-Classical Transition. Springer, Berlin (2008)"},{"key":"1935_CR6","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1038\/ncomms1005","volume":"1","author":"J-S Xu","year":"2010","unstructured":"Xu, J.-S., Xu, X.-Y., Li, C.-F., Zhang, C.-J., Zou, X.-B., Guo, G.-C.: Experimental investigation of classical and quantum correlations under decoherence. Nat. Commun. 1, 7 (2010)","journal-title":"Nat. Commun."},{"key":"1935_CR7","doi-asserted-by":"publisher","first-page":"1203","DOI":"10.1103\/RevModPhys.86.1203","volume":"86","author":"F Caruso","year":"2014","unstructured":"Caruso, F., Giovannetti, V., Lupo, C., Mancini, S.: Quantum channels and memory effects. Rev. Mod. Phys. 86, 1203 (2014)","journal-title":"Rev. Mod. Phys."},{"key":"1935_CR8","doi-asserted-by":"publisher","first-page":"032317","DOI":"10.1103\/PhysRevA.72.032317","volume":"72","author":"B Groisman","year":"2005","unstructured":"Groisman, B., Popescu, S., Winter, A.: Quantum, classical, and total amount of correlations in a quantum state. Phys. Rev. A 72, 032317 (2005)","journal-title":"Phys. Rev. A"},{"key":"1935_CR9","doi-asserted-by":"publisher","DOI":"10.1515\/9783110273403","volume-title":"Quantum Systems, Channels, Information: A Mathematical Introduction","author":"AS Holevo","year":"2012","unstructured":"Holevo, A.S.: Quantum Systems, Channels, Information: A Mathematical Introduction. de Gruyter, Berlin (2012)"},{"key":"1935_CR10","doi-asserted-by":"publisher","first-page":"3824","DOI":"10.1103\/PhysRevA.54.3824","volume":"54","author":"CH Bennett","year":"1996","unstructured":"Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54, 3824 (1996)","journal-title":"Phys. Rev. A"},{"key":"1935_CR11","doi-asserted-by":"publisher","first-page":"2245","DOI":"10.1103\/PhysRevLett.80.2245","volume":"80","author":"WK Wootters","year":"1998","unstructured":"Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)","journal-title":"Phys. Rev. Lett."},{"key":"1935_CR12","doi-asserted-by":"publisher","first-page":"062102","DOI":"10.1103\/PhysRevA.61.062102","volume":"61","author":"RF Werner","year":"2000","unstructured":"Werner, R.F., Wolf, M.M.: Bell\u2019s inequalities for states with positive partial transpose. Phys. Rev. A 61, 062102 (2000)","journal-title":"Phys. Rev. A"},{"key":"1935_CR13","doi-asserted-by":"publisher","first-page":"2625","DOI":"10.1103\/PhysRevLett.85.2625","volume":"85","author":"BM Terhal","year":"2000","unstructured":"Terhal, B.M., Gerd, K., Vollbrecht, K.G.H.: Entanglement of formation for isotropic states. Phys. Rev. Lett. 85, 2625 (2000)","journal-title":"Phys. Rev. Lett."},{"key":"1935_CR14","doi-asserted-by":"publisher","first-page":"012307","DOI":"10.1103\/PhysRevA.67.012307","volume":"67","author":"P Rungta","year":"2003","unstructured":"Rungta, P., Caves, C.M.: Concurrence-based entanglement measures for isotropic states. Phys. Rev. A 67, 012307 (2003)","journal-title":"Phys. Rev. A"},{"key":"1935_CR15","first-page":"211","volume":"6","author":"WF Stinespring","year":"1955","unstructured":"Stinespring, W.F.: Positive functions on \n                    \n                      \n                    \n                    $$C^*$$\n                    \n                      \n                        \n                          C\n                          \u2217\n                        \n                      \n                    \n                  -algebras. Proc. Am. Math. Soc. 6, 211\u2013216 (1955)","journal-title":"Proc. Am. Math. Soc."},{"key":"1935_CR16","series-title":"Lecture Notes in Physics","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-12732-1","volume-title":"Effects and Operations: Fundamental Notions of Quantum Theory","author":"K Kraus","year":"1983","unstructured":"Kraus, K.: Effects and Operations: Fundamental Notions of Quantum Theory. Lecture Notes in Physics. Springer, Berlin (1983)"},{"key":"1935_CR17","doi-asserted-by":"publisher","first-page":"050301(R)","DOI":"10.1103\/PhysRevA.65.050301","volume":"65","author":"C Macchiavello","year":"2002","unstructured":"Macchiavello, C., Palma, G.M.: Entanglement-enhanced information transmission over a quantum channel with correlated noise. Phys. Rev. A 65, 050301(R) (2002)","journal-title":"Phys. Rev. A"},{"key":"1935_CR18","doi-asserted-by":"publisher","first-page":"064301","DOI":"10.1103\/PhysRevA.67.064301","volume":"67","author":"Y Yeo","year":"2003","unstructured":"Yeo, Y., Skeen, A.: Time-correlated quantum amplitude-damping channel. Phys. Rev. A 67, 064301 (2003)","journal-title":"Phys. Rev. A"},{"key":"1935_CR19","unstructured":"For any pure two-qubit state \n                    \n                      \n                    \n                    $$\\rho =|\\psi \\rangle \\langle \\psi |$$\n                    \n                      \n                        \n                          \u03c1\n                          =\n                          |\n                          \u03c8\n                          \u27e9\n                          \u27e8\n                          \u03c8\n                          |\n                        \n                      \n                    \n                   the matrix \n                    \n                      \n                    \n                    $$T=\\rho \\tilde{\\rho }$$\n                    \n                      \n                        \n                          T\n                          =\n                          \u03c1\n                          \n                            \u03c1\n                            ~\n                          \n                        \n                      \n                    \n                   is of the form \n                    \n                      \n                    \n                    $$T=\\langle \\tilde{\\psi }|\\psi \\rangle |\\psi \\rangle \\langle \\tilde{\\psi }|$$\n                    \n                      \n                        \n                          T\n                          =\n                          \n                            \u27e8\n                            \n                              \u03c8\n                              ~\n                            \n                            |\n                            \u03c8\n                            \u27e9\n                          \n                          \n                            |\n                            \u03c8\n                            \u27e9\n                            \u27e8\n                          \n                          \n                            \u03c8\n                            ~\n                          \n                          \n                            |\n                          \n                        \n                      \n                    \n                   and obeys the equation \n                    \n                      \n                    \n                    $$T(T-|\\langle \\psi |\\tilde{\\psi }\\rangle |^2)=0$$\n                    \n                      \n                        \n                          T\n                          (\n                          T\n                          -\n                          |\n                          \n                            \u27e8\n                            \u03c8\n                            |\n                            \n                              \u03c8\n                              ~\n                            \n                            \u27e9\n                          \n                          \n                            |\n                            2\n                          \n                          )\n                          =\n                          0\n                        \n                      \n                    \n                  . This shows that the only nonzero eigenvalue of \n                    \n                      \n                    \n                    $$T$$\n                    \n                      \n                        T\n                      \n                    \n                   is \n                    \n                      \n                    \n                    $$|\\langle \\psi |\\tilde{\\psi }\\rangle |^2$$\n                    \n                      \n                        \n                          \n                            |\n                          \n                          \n                            \u27e8\n                            \u03c8\n                            |\n                            \n                              \u03c8\n                              ~\n                            \n                            \u27e9\n                          \n                          \n                            \n                              |\n                            \n                            2\n                          \n                        \n                      \n                    \n                   and therefore \n                    \n                      \n                    \n                    $$C(\\rho )=|\\langle \\psi |\\tilde{\\psi }\\rangle |$$\n                    \n                      \n                        \n                          \n                            C\n                            \n                              (\n                              \u03c1\n                              )\n                            \n                            =\n                            |\n                          \n                          \n                            \u27e8\n                            \u03c8\n                            |\n                            \n                              \u03c8\n                              ~\n                            \n                            \u27e9\n                          \n                          \n                            |"},{"issue":"5914","key":"1935_CR20","doi-asserted-by":"publisher","first-page":"598","DOI":"10.1126\/science.1167343","volume":"323","author":"T Yu","year":"2009","unstructured":"Yu, T., Eberly, J.H.: Sudden death of entanglement. Science 323(5914), 598 (2009)","journal-title":"Science"},{"issue":"5","key":"1935_CR21","doi-asserted-by":"publisher","first-page":"676","DOI":"10.1016\/j.optcom.2009.10.042","volume":"283","author":"T Yu","year":"2010","unstructured":"Yu, T., Eberly, J.H.: Entanglement evolution in a non-Markovian environment. Opt. Commun. 283(5), 676\u2013680 (2010)","journal-title":"Opt. Commun."},{"issue":"2","key":"1935_CR22","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1016\/0034-4877(76)90060-4","volume":"9","author":"A Uhlmann","year":"1976","unstructured":"Uhlmann, A.: The transition probability in the state space of a \n                    \n                      \n                    \n                    $$*$$\n                    \n                      \n                        \n                          \n                          \u2217\n                        \n                      \n                    \n                  -algebra. Rep. Math. Phys. 9(2), 273\u2013279 (1976)","journal-title":"Rep. Math. Phys."},{"key":"1935_CR23","doi-asserted-by":"publisher","first-page":"2315","DOI":"10.1080\/09500349414552171","volume":"41","author":"R Jozsa","year":"1994","unstructured":"Jozsa, R.: Fidelity for mixed quantum states. J. Mod. Opt. 41, 2315\u20132323 (1994)","journal-title":"J. Mod. Opt."},{"key":"1935_CR24","doi-asserted-by":"publisher","first-page":"2614","DOI":"10.1103\/PhysRevA.54.2614","volume":"54","author":"B Schumacher","year":"1996","unstructured":"Schumacher, B.: Sending entanglement through noisy quantum channels. Phys. Rev. A 54, 2614 (1996)","journal-title":"Phys. Rev. A"},{"key":"1935_CR25","doi-asserted-by":"publisher","first-page":"010303(R)","DOI":"10.1103\/PhysRevA.69.010303","volume":"69","author":"C Macchiavello","year":"2004","unstructured":"Macchiavello, C., Palma, G.M., Virmani, S.: Transition behavior in the channel capacity of two-qubit channels with memory. Phys. Rev. A 69, 010303(R) (2004)","journal-title":"Phys. Rev. A"},{"issue":"6","key":"1935_CR26","doi-asserted-by":"publisher","first-page":"1295","DOI":"10.1070\/RM1998v053n06ABEH000091","volume":"53","author":"AS Holevo","year":"1998","unstructured":"Holevo, A.S.: Quantum coding theorems. Russ. Math. Surv. 53(6), 1295\u20131331 (1998)","journal-title":"Russ. Math. Surv."},{"key":"1935_CR27","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1142\/S0129055X03001709","volume":"15","author":"M Horodecki","year":"2003","unstructured":"Horodecki, M., Shor, P.W., Ruskai, M.B.: Entanglement breaking channels. Rev. Math. Phys. 15, 629 (2003)","journal-title":"Rev. Math. Phys."},{"key":"1935_CR28","doi-asserted-by":"publisher","first-page":"222","DOI":"10.1038\/nphoton.2011.35","volume":"5","author":"V Giovannetti","year":"2011","unstructured":"Giovannetti, V., Lloyd, S., Maccone, L.: Advances in quantum metrology. Nat. Photonics 5, 222 (2011)","journal-title":"Nat. Photonics"},{"key":"1935_CR29","doi-asserted-by":"publisher","first-page":"190502","DOI":"10.1103\/PhysRevLett.105.190502","volume":"105","author":"B Daki\u0107","year":"2010","unstructured":"Daki\u0107, B., Vedral, V., Brukner, \u010c.: Necessary and sufficient condition for nonzero quantum discord. Phys. Rev. Lett. 105, 190502 (2010)","journal-title":"Phys. Rev. Lett."},{"key":"1935_CR30","doi-asserted-by":"publisher","first-page":"024103","DOI":"10.1103\/PhysRevA.80.024103","volume":"80","author":"T Werlang","year":"2009","unstructured":"Werlang, T., Souza, S., Fanchini, F.F., Villas-B\u00f4as, C.J.: Robustness of quantum discord to sudden death. Phys. Rev. A 80, 024103 (2009)","journal-title":"Phys. Rev. A"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-018-1935-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-018-1935-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-018-1935-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,21]],"date-time":"2019-05-21T14:47:22Z","timestamp":1558450042000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-018-1935-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,21]]},"references-count":30,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2018,7]]}},"alternative-id":["1935"],"URL":"https:\/\/doi.org\/10.1007\/s11128-018-1935-5","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5,21]]},"assertion":[{"value":"30 January 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 May 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 May 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"164"}}