{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T09:42:02Z","timestamp":1766050922541,"version":"build-2065373602"},"reference-count":59,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2025,9,5]],"date-time":"2025-09-05T00:00:00Z","timestamp":1757030400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,9,5]],"date-time":"2025-09-05T00:00:00Z","timestamp":1757030400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"the Fundamental Research Funds for the Central Universities","award":["Grant No.21624351"],"award-info":[{"award-number":["Grant No.21624351"]}]},{"name":"Key Lab of Guangzhou for Quantum Precision Measurement","award":["Grant No. 202201000010"],"award-info":[{"award-number":["Grant No. 202201000010"]}]},{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["Grant Nos. 12371458"],"award-info":[{"award-number":["Grant Nos. 12371458"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-025-04914-3","type":"journal-article","created":{"date-parts":[[2025,9,5]],"date-time":"2025-09-05T06:06:19Z","timestamp":1757052379000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Steerability dynamics in double Jaynes\u2013Cummings model under noiseless and noisy environments"],"prefix":"10.1007","volume":"24","author":[{"given":"Ya-Xi","family":"Ban","sequence":"first","affiliation":[]},{"given":"Chang-Yue","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Ming-xiao","family":"Li","sequence":"additional","affiliation":[]},{"given":"Zhu-Jun","family":"Zheng","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,9,5]]},"reference":[{"key":"4914_CR1","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? Rev. Mod. Phys. 47, 777 (1935). https:\/\/doi.org\/10.1103\/PhysRev.47.777","journal-title":"Rev. Mod. Phys."},{"key":"4914_CR2","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1103\/PhysicsPhysiqueFizika.1.195","volume":"1","author":"JS Bell","year":"1964","unstructured":"Bell, J.S.: On the Einstein Podolsky Rosen paradox. Rev. Mod. Phys. 1, 195 (1964). https:\/\/doi.org\/10.1103\/PhysicsPhysiqueFizika.1.195","journal-title":"Rev. Mod. Phys."},{"key":"4914_CR3","doi-asserted-by":"publisher","first-page":"140402","DOI":"10.1103\/PhysRevLett.98.140402","volume":"98","author":"HM Wiseman","year":"2007","unstructured":"Wiseman, H.M., Jones, S.J., Doherty, A.C.: Steering, entanglement, nonlocality, and the Einstein-Podolsky-Rosen paradox. Phys. Rev. Lett. 98, 140402 (2007). https:\/\/doi.org\/10.1103\/PhysRevLett.98.140402","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR4","doi-asserted-by":"publisher","first-page":"017901","DOI":"10.1103\/PhysRevLett.88.017901","volume":"88","author":"H Ollivier","year":"2001","unstructured":"Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001). https:\/\/doi.org\/10.1103\/PhysRevLett.88.017901","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR5","doi-asserted-by":"publisher","first-page":"715","DOI":"10.1103\/RevModPhys.75.715","volume":"75","author":"WH Zurek","year":"2003","unstructured":"Zurek, W.H.: Decoherence, einselection, and the quantum origins of the classical. Rev. Mod. Phys. 75, 715 (2003). https:\/\/doi.org\/10.1103\/RevModPhys.75.715","journal-title":"Rev. Mod. Phys."},{"key":"4914_CR6","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1017\/S0305004100013554","volume":"31","author":"E Schr\u00f6dinger","year":"1935","unstructured":"Schr\u00f6dinger, E.: Discussion of probability relations between separated systems. Proc. Cambridge Philos. Soc. 31, 555 (1935). https:\/\/doi.org\/10.1017\/S0305004100013554","journal-title":"Proc. Cambridge Philos. Soc."},{"key":"4914_CR7","doi-asserted-by":"publisher","first-page":"140402","DOI":"10.1103\/PhysRevLett.98.140402","volume":"98","author":"HM Wiseman","year":"2007","unstructured":"Wiseman, H.M., Jones, S.J., Doherty, A.C.: Steering, entanglement, nonlocality, and the Einstein-Podolsky-Rosen paradox. Phys. Rev. Lett. 98, 140402 (2007). https:\/\/doi.org\/10.1103\/PhysRevLett.98.140402","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR8","doi-asserted-by":"publisher","first-page":"052116","DOI":"10.1103\/PhysRevA.76.052116","volume":"76","author":"SJ Jones","year":"2007","unstructured":"Jones, S.J., Wiseman, H.M., Doherty, A.C.: Entanglement, Einstein-Podolsky-Rosen correlations, Bell nonlocality, and steering. Phys. Rev. A 76, 052116 (2007). https:\/\/doi.org\/10.1103\/PhysRevA.76.052116","journal-title":"Phys. Rev. A"},{"key":"4914_CR9","doi-asserted-by":"publisher","first-page":"015001","DOI":"10.1103\/RevModPhys.92.015001","volume":"92","author":"R Uola","year":"2020","unstructured":"Uola, R., Costa, A.C.S., Nguyen, H.C., G\u00fchne, O.: Quantum steering. Rev. Mod. Phys. 92, 015001 (2020). https:\/\/doi.org\/10.1103\/RevModPhys.92.015001","journal-title":"Rev. Mod. Phys."},{"key":"4914_CR10","doi-asserted-by":"publisher","first-page":"030102","DOI":"10.1103\/PRXQuantum.3.030102","volume":"3","author":"Y Xiang","year":"2022","unstructured":"Xiang, Y., Cheng, S., Gong, Q., Ficek, Z., He, Q.: Quantum steering: practical challenges and future directions. PRX Quantum 3, 030102 (2022). https:\/\/doi.org\/10.1103\/PRXQuantum.3.030102","journal-title":"PRX Quantum"},{"key":"4914_CR11","doi-asserted-by":"publisher","first-page":"032112","DOI":"10.1103\/PhysRevA.80.032112","volume":"80","author":"EG Cavalcanti","year":"2009","unstructured":"Cavalcanti, E.G., Jones, S.J., Wiseman, H.M., Reid, M.D.: Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox. Phys. Rev. A 80, 032112 (2009). https:\/\/doi.org\/10.1103\/PhysRevA.80.032112","journal-title":"Phys. Rev. A"},{"key":"4914_CR12","doi-asserted-by":"publisher","first-page":"130402","DOI":"10.1103\/PhysRevLett.106.130402","volume":"106","author":"SP Walborn","year":"2011","unstructured":"Walborn, S.P., Salles, A., Gomes, R.M., Toscano, F., Souto Ribeiro, P.H.: Revealing Hidden Einstein-Podolsky-Rosen Nonlocality. Phys. Rev. Lett. 106, 130402 (2011). https:\/\/doi.org\/10.1103\/PhysRevLett.106.130402","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR13","doi-asserted-by":"publisher","first-page":"062111","DOI":"10.1103\/PhysRevA.98.062111","volume":"98","author":"T Kriv\u00e1chy","year":"2018","unstructured":"Kriv\u00e1chy, T., Fr\u00f6wis, F., Brunner, N.: Tight steering inequalities from generalized entropic uncertainty relations. Phys. Rev. A 98, 062111 (2018). https:\/\/doi.org\/10.1103\/PhysRevA.98.062111","journal-title":"Phys. Rev. A"},{"key":"4914_CR14","doi-asserted-by":"publisher","first-page":"032107","DOI":"10.1103\/PhysRevA.91.032107","volume":"91","author":"M \u017bukowski","year":"2015","unstructured":"\u017bukowski, M., Dutta, A., Yin, Z.: Geometric Bell-like inequalities for steering. Phys. Rev. A 91, 032107 (2015). https:\/\/doi.org\/10.1103\/PhysRevA.91.032107","journal-title":"Phys. Rev. A"},{"key":"4914_CR15","doi-asserted-by":"publisher","first-page":"012108","DOI":"10.1103\/PhysRevA.93.012108","volume":"93","author":"YZ Zhen","year":"2016","unstructured":"Zhen, Y.Z., Zheng, Y.L., Cao, W.F., Li, L., Chen, Z.B., Liu, N.L., Chen, K.: Certifying Einstein-Podolsky-Rosen steering via the local uncertainty principle. Phys. Rev. A 93, 012108 (2016). https:\/\/doi.org\/10.1103\/PhysRevA.93.012108","journal-title":"Phys. Rev. A"},{"key":"4914_CR16","doi-asserted-by":"publisher","first-page":"050104(R)","DOI":"10.1103\/PhysRevA.98.050104","volume":"98","author":"ACS Costa","year":"2018","unstructured":"Costa, A.C.S., Uola, R., G\u00fchne, O.: Steering criteria from general entropic uncertainty relations. Phys. Rev. A 98, 050104(R) (2018). https:\/\/doi.org\/10.1103\/PhysRevA.98.050104","journal-title":"Phys. Rev. A"},{"key":"4914_CR17","doi-asserted-by":"publisher","first-page":"090403","DOI":"10.1103\/PhysRevLett.116.090403","volume":"116","author":"T Moroder","year":"2016","unstructured":"Moroder, T., Gittsovich, O., Huber, M., Uola, R., G\u00fchne, O.: Steering maps and their application to dimension-bounded steering. Phys. Rev. Lett. 116, 090403 (2016). https:\/\/doi.org\/10.1103\/PhysRevLett.116.090403","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR18","doi-asserted-by":"publisher","first-page":"022324","DOI":"10.1103\/PhysRevA.101.022324","volume":"101","author":"H Yang","year":"2020","unstructured":"Yang, H., Ding, Z.-Y., Wang, D., Yuan, H., Song, X.-K., Yang, J., Zhang, C.-J., Ye, L.: Experimental certification of the steering criterion based on a general entropic uncertainty relation. Phys. Rev. A 101, 022324 (2020). https:\/\/doi.org\/10.1103\/PhysRevA.101.022324","journal-title":"Phys. Rev. A"},{"key":"4914_CR19","doi-asserted-by":"publisher","first-page":"052425","DOI":"10.1103\/PhysRevA.104.052425","volume":"104","author":"F Zhao","year":"2021","unstructured":"Zhao, F., Yang, H., Song, X.K., Wang, D., Ye, L.: Experimental certification of the steering criterion based on the local uncertainty relation. Phys. Rev. A 104, 052425 (2021). https:\/\/doi.org\/10.1103\/PhysRevA.104.052425","journal-title":"Phys. Rev. A"},{"key":"4914_CR20","doi-asserted-by":"publisher","first-page":"020404","DOI":"10.1103\/PhysRevLett.125.020404","volume":"125","author":"S Wollmann","year":"2020","unstructured":"Wollmann, S., Uola, R., Costa, A.C.S.: Experimental demonstration of robust quantum steering. Phys. Rev. Lett. 125, 020404 (2020). https:\/\/doi.org\/10.1103\/PhysRevLett.125.020404","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR21","doi-asserted-by":"publisher","first-page":"845","DOI":"10.1038\/nphys1766","volume":"6","author":"DJ Saunders","year":"2010","unstructured":"Saunders, D.J., Jones, S.J., Wiseman, H.M., Pryde, G.J.: Experimental EPR-steering using Bell-local states. Nat. Phys. 6, 845 (2010). https:\/\/doi.org\/10.1038\/nphys1766","journal-title":"Nat. Phys."},{"key":"4914_CR22","doi-asserted-by":"publisher","first-page":"140402","DOI":"10.1103\/PhysRevLett.113.140402","volume":"113","author":"K Sun","year":"2014","unstructured":"Sun, K., Xu, J.-S., Ye, X.-J., Wu, Y.-C., Chen, J.-L., Li, C.-F., Guo, G.-C.: Experimental demonstration of the Einstein-Podolsky-Rosen steering game based on the all-versus-nothing proof. Phys. Rev. Lett. 113, 140402 (2014). https:\/\/doi.org\/10.1103\/PhysRevLett.113.140402","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR23","doi-asserted-by":"publisher","first-page":"7941","DOI":"10.1038\/ncomms8941","volume":"6","author":"D Cavalcanti","year":"2015","unstructured":"Cavalcanti, D., Skrzypczyk, P., Aguilar, G.H., Nery, R.V., Souto Ribeiro, P.H., Walborn, S.P.: Detection of entanglement in asymmetric quantum networks and multipartite quantum steering. Nat. Commun. 6, 7941 (2015). https:\/\/doi.org\/10.1038\/ncomms8941","journal-title":"Nat. Commun."},{"key":"4914_CR24","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1038\/nphys3202","volume":"11","author":"S Armstrong","year":"2015","unstructured":"Armstrong, S., Wang, M., Teh, R.Y., Gong, Q., He, Q., Janousek, J., Bachor, H.-A., Reid, M.D., Lam, P.K.: Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks. Nat. Phys. 11, 167 (2015). https:\/\/doi.org\/10.1038\/nphys3202","journal-title":"Nat. Phys."},{"key":"4914_CR25","doi-asserted-by":"publisher","first-page":"160403","DOI":"10.1103\/PhysRevLett.116.160403","volume":"116","author":"S Wollmann","year":"2016","unstructured":"Wollmann, S., Walk, N., Bennet, A.J., Wiseman, H.M., Pryde, G.J.: Observation of Genuine One-Way Einstein-Podolsky-Rosen Steering. Phys. Rev. Lett. 116, 160403 (2016). https:\/\/doi.org\/10.1103\/PhysRevLett.116.160403","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR26","doi-asserted-by":"publisher","first-page":"140404","DOI":"10.1103\/PhysRevLett.118.140404","volume":"118","author":"Y Xiao","year":"2017","unstructured":"Xiao, Y., Ye, X.-J., Sun, K., Xu, J.-S., Li, C.-F., Guo, G.-C.: Demonstration of Multisetting One-Way Einstein-Podolsky-Rosen Steering in Two-Qubit Systems. Phys. Rev. Lett. 118, 140404 (2017). https:\/\/doi.org\/10.1103\/PhysRevLett.118.140404","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR27","doi-asserted-by":"publisher","first-page":"032120","DOI":"10.1103\/PhysRevA.83.032120","volume":"83","author":"QY He","year":"2011","unstructured":"He, Q.Y., Drummond, P.D., Reid, D.: Entanglement, EPR steering, and Bell-nonlocality criteria for multipartite higher-spin systems. Phys. Rev. A 83, 032120 (2011). https:\/\/doi.org\/10.1103\/PhysRevA.83.032120","journal-title":"Phys. Rev. A"},{"key":"4914_CR28","doi-asserted-by":"publisher","first-page":"020503","DOI":"10.1103\/PhysRevLett.116.020503","volume":"116","author":"S-L Chen","year":"2016","unstructured":"Chen, S.-L., Lambert, N., Li, C.-M., Miranowicz, A., Chen, Y.-N., Nori, F.: Quantifying Non-Markovianity with Temporal Steering. Phys. Rev. Lett. 116, 020503 (2016). https:\/\/doi.org\/10.1103\/PhysRevLett.116.020503","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR29","doi-asserted-by":"publisher","first-page":"022104","DOI":"10.1103\/PhysRevA.98.022104","volume":"98","author":"H-Y Ku","year":"2018","unstructured":"Ku, H.-Y., Chen, S.-L., Lambert, N., Chen, Y.-N., Nori, F.: Hierarchy in temporal quantum correlations. Phys. Rev. A 98, 022104 (2018). https:\/\/doi.org\/10.1103\/PhysRevA.98.022104","journal-title":"Phys. Rev. A"},{"key":"4914_CR30","doi-asserted-by":"publisher","first-page":"010301(R)","DOI":"10.1103\/PhysRevA.85.010301","volume":"85","author":"C Branciard","year":"2012","unstructured":"Branciard, C., Cavalcanti, E.G., Walborn, S.P., Scarani, V., Wiseman, H.M.: One-sided device-independent quantum key distribution: security, feasibility, and the connection with steering. Phys. Rev. A 85, 010301(R) (2012). https:\/\/doi.org\/10.1103\/PhysRevA.85.010301","journal-title":"Phys. Rev. A"},{"key":"4914_CR31","doi-asserted-by":"publisher","first-page":"634","DOI":"10.1364\/OPTICA.3.000634","volume":"3","author":"N Walk","year":"2016","unstructured":"Walk, N., et al.: Experimental demonstration of Gaussian protocols for one-sided device-independent quantum key distribution. Optica 3, 634 (2016). https:\/\/doi.org\/10.1364\/OPTICA.3.000634","journal-title":"Optica"},{"key":"4914_CR32","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1038\/s41534-018-0067-1","volume":"4","author":"K Sun","year":"2018","unstructured":"Sun, K., Ye, X.J., Xiao, Y., Xu, X.Y., Wu, Y.C., Xu, J.S., Chen, J.L., Li, C.F., Guo, G.C.: Demonstration of Einstein-Podolsky-Rosen steering with enhanced subchannel discrimination. npj Quantum Inf. 4, 1 (2018). https:\/\/doi.org\/10.1038\/s41534-018-0067-1","journal-title":"npj Quantum Inf."},{"key":"4914_CR33","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1038\/ncomms8941","volume":"6","author":"D Cavalcanti","year":"2015","unstructured":"Cavalcanti, D., et al.: Detection of entanglement in asymmetric quantum networks and multipartite quantum steering. Nat. Commun. 6, 1 (2015). https:\/\/doi.org\/10.1038\/ncomms8941","journal-title":"Nat. Commun."},{"key":"4914_CR34","doi-asserted-by":"publisher","first-page":"260401","DOI":"10.1103\/PhysRevLett.120.260401","volume":"120","author":"P Skrzypczyk","year":"2018","unstructured":"Skrzypczyk, P., Cavalcanti, D.: Maximal randomness generation from steering inequality violations using Qudits. Phys. Rev. Lett. 120, 260401 (2018). https:\/\/doi.org\/10.1103\/PhysRevLett.120.260401","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR35","doi-asserted-by":"publisher","first-page":"020102(R)","DOI":"10.1103\/PhysRevA.95.020102","volume":"95","author":"FJ Curchod","year":"2017","unstructured":"Curchod, F.J., et al.: Unbounded randomness certification using sequences of measurements. Phys. Rev. A 95, 020102(R) (2017). https:\/\/doi.org\/10.1103\/PhysRevA.95.020102","journal-title":"Phys. Rev. A"},{"key":"4914_CR36","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1103\/PhysRevLett.98.140402","volume":"51","author":"ET Jaynes","year":"1963","unstructured":"Jaynes, E.T., Cummings, F.W.: Comparison of quantum and semiclassical radiation theories with application to the beam maser. Proc. IEEE 51, 89 (1963). https:\/\/doi.org\/10.1103\/PhysRevLett.98.140402","journal-title":"Proc. IEEE"},{"key":"4914_CR37","doi-asserted-by":"publisher","first-page":"S621","DOI":"10.1088\/0953-4075\/39\/15\/S09","volume":"39","author":"M Y\u00f6na\u00e7","year":"2006","unstructured":"Y\u00f6na\u00e7, M., Yu, T., Eberly, J.H.: Sudden death of entanglement of two Jaynes-Cummings atoms. J. Phys. B: At. Mol. Opt. Phys. 39, S621 (2006). https:\/\/doi.org\/10.1088\/0953-4075\/39\/15\/S09","journal-title":"J. Phys. B: At. Mol. Opt. Phys."},{"key":"4914_CR38","doi-asserted-by":"publisher","first-page":"S45","DOI":"10.1088\/0953-4075\/40\/9\/S02","volume":"40","author":"M Y\u00f6na\u00e7","year":"2007","unstructured":"Y\u00f6na\u00e7, M., Yu, T., Eberly, J.H.: Pairwise concurrence dynamics: a four-qubit model. J. Phys. B: At. Mol. Opt. Phys. 40, S45 (2007). https:\/\/doi.org\/10.1088\/0953-4075\/40\/9\/S02","journal-title":"J. Phys. B: At. Mol. Opt. Phys."},{"key":"4914_CR39","doi-asserted-by":"publisher","first-page":"6621","DOI":"10.1038\/s41598-020-63236-9","volume":"10","author":"K Wang","year":"2020","unstructured":"Wang, K., Zheng, Z.J.: Violation of Svetlichny inequality in Triple Jaynes-Cummings Models. Sci. Rep. 10, 6621 (2020). https:\/\/doi.org\/10.1038\/s41598-020-63236-9","journal-title":"Sci. Rep."},{"key":"4914_CR40","doi-asserted-by":"publisher","DOI":"10.1142\/p380","author":"V Vedral","year":"2005","unstructured":"Vedral, V.: Modern foundations of quantum optics. Imperial College Press. (2005). https:\/\/doi.org\/10.1142\/p380","journal-title":"Imperial College Press."},{"key":"4914_CR41","doi-asserted-by":"publisher","first-page":"032418","DOI":"10.1103\/PhysRevA.103.032418","volume":"103","author":"Y Ding","year":"2021","unstructured":"Ding, Y., Xie, S., Eberly, J.H.: Periodic sudden freezing and thawing of entanglement in multiparty pure-state quantum systems. Phys. Rev. A 103, 032418 (2021). https:\/\/doi.org\/10.1103\/PhysRevA.103.032418","journal-title":"Phys. Rev. A"},{"key":"4914_CR42","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1007\/s11128-021-03195-w","volume":"20","author":"M Ali","year":"2021","unstructured":"Ali, M.: Genuinely entangling uncorrelated atoms via Jaynes-Cummings interactions. Quantum Inf. Process. 20, 311 (2021). https:\/\/doi.org\/10.1007\/s11128-021-03195-w","journal-title":"Quantum Inf. Process."},{"issue":"09","key":"4914_CR43","doi-asserted-by":"publisher","first-page":"2150061","DOI":"10.1142\/S0217732321500619","volume":"36","author":"M Ali","year":"2021","unstructured":"Ali, M.: Dynamics of local quantum uncertainty among cavity-reservoir qubits. Mod. Phys. Lett. A 36(09), 2150061 (2021). https:\/\/doi.org\/10.1142\/S0217732321500619","journal-title":"Mod. Phys. Lett. A"},{"issue":"2","key":"4914_CR44","doi-asserted-by":"publisher","first-page":"020306","DOI":"10.1103\/PRXQuantum.1.020306","volume":"1","author":"AZ Goldberg","year":"2020","unstructured":"Goldberg, A.Z., Steinberg, A.M.: Transcoherent states: optical states for maximal generation of atomic coherence. PRX Quantum 1(2), 020306 (2020). https:\/\/doi.org\/10.1103\/PRXQuantum.1.020306","journal-title":"PRX Quantum"},{"key":"4914_CR45","doi-asserted-by":"publisher","first-page":"025501","DOI":"10.1088\/0953-4075\/42\/2\/025501","volume":"42","author":"M Ali","year":"2009","unstructured":"Ali, M., Alber, G., Rau, A.R.P.: Manipulating entanglement sudden death of two-qubit X-states in zero- and finite-temperature reservoirs. J. Phys. B: At. Mol. Opt. Phys. 42, 025501 (2009). https:\/\/doi.org\/10.1088\/0953-4075\/42\/2\/025501","journal-title":"J. Phys. B: At. Mol. Opt. Phys."},{"key":"4914_CR46","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1038\/s41534-020-00307-9","volume":"6","author":"Y Zhao","year":"2020","unstructured":"Zhao, Y., Ku, H., Chen, S., Chen, H., Nori, F., Xiang, G., Li, C., Guo, G., Chen, Y.: Experimental demonstration of measurement-device-independent measure of quantum steering. NPJ Quantum Inf. 6, 77 (2020). https:\/\/doi.org\/10.1038\/s41534-020-00307-9","journal-title":"NPJ Quantum Inf."},{"key":"4914_CR47","doi-asserted-by":"publisher","first-page":"020338","DOI":"10.1103\/PRXQuantum.3.020338","volume":"3","author":"H-Y Ku","year":"2022","unstructured":"Ku, H.-Y., Kadlec, J., \u010cernoch, A., Quintino, M.T., Zhou, W., Lemr, K., Lambert, N., Miranowicz, A., Chen, S.-L., Nori, F., Chen, Y.-N.: Quantifying quantumness of channels without entanglement. PRX Quantum 3, 020338 (2022). https:\/\/doi.org\/10.1103\/PRXQuantum.3.020338","journal-title":"PRX Quantum"},{"key":"4914_CR48","doi-asserted-by":"publisher","first-page":"062436","DOI":"10.1103\/PhysRevA.104.062436","volume":"104","author":"K Jirakova","year":"2021","unstructured":"Jirakova, K., Cernoch, A., Lemr, K., Bartkiewicz, K., Miranowicz, A.: Experimental hierarchy and optimal robustness of quantum correlations of two-qubit states with controllable white noise. Phys. Rev. A 104, 062436 (2021). https:\/\/doi.org\/10.1103\/PhysRevA.104.062436","journal-title":"Phys. Rev. A"},{"key":"4914_CR49","doi-asserted-by":"publisher","first-page":"200202","DOI":"10.1103\/PhysRevLett.130.200202","volume":"130","author":"Y Wang","year":"2023","unstructured":"Wang, Y., Hao, Z.Y., Li, J.K., Liu, Z.H., Sun, K., Xu, J.S., Li, C.F., Guo, G.C.: Observation of non-markovian evolution of Einstein-Podolsky-Rosen steering. Phys. Rev. Lett. 130, 200202 (2023). https:\/\/doi.org\/10.1103\/PhysRevLett.130.200202","journal-title":"Phys. Rev. Lett."},{"key":"4914_CR50","doi-asserted-by":"publisher","first-page":"013103","DOI":"10.1103\/PhysRevResearch.5.013103","volume":"5","author":"KY Lee","year":"2023","unstructured":"Lee, K.Y., Lin, J.D., Miranowicz, A., Nori, F., Ku, H.Y., Chen, Y.N.: Steering-enhanced quantum metrology using superpositions of noisy phase shifts. Phys. Rev. Res. 5, 013103 (2023). https:\/\/doi.org\/10.1103\/PhysRevResearch.5.013103","journal-title":"Phys. Rev. Res."},{"key":"4914_CR51","doi-asserted-by":"publisher","first-page":"020103","DOI":"10.1103\/PhysRevA.93.020103","volume":"93","author":"ACS Costa","year":"2016","unstructured":"Costa, A.C.S., Angelo, R.M.: Quantification of Einstein-Podolsky-Rosen steering for two-qubit states. Phys. Rev. A 93, 020103 (2016). https:\/\/doi.org\/10.1103\/PhysRevA.93.020103","journal-title":"Phys. Rev. A"},{"key":"4914_CR52","doi-asserted-by":"publisher","first-page":"3311","DOI":"10.1103\/PhysRevA.47.3311","volume":"47","author":"HJ Briegel","year":"1993","unstructured":"Briegel, H.J., Englert, B.G.: Quantum optical master equations: the use of damping bases. Phys. Rev. A 47, 3311\u20133329 (1993). https:\/\/doi.org\/10.1103\/PhysRevA.47.3311","journal-title":"Phys. Rev. A"},{"key":"4914_CR53","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-47620-7","volume-title":"An open system approach to quantum optics","author":"H Carmichael","year":"1993","unstructured":"Carmichael, H.: An open system approach to quantum optics. Springer-Verlag (1993)"},{"key":"4914_CR54","doi-asserted-by":"publisher","first-page":"060305(R)","DOI":"10.1103\/PhysRevA.77.060305","volume":"77","author":"M Boissonneault","year":"2008","unstructured":"Boissonneault, M., Gambetta, J.M., Blais, A.: Nonlinear dispersive regime of cavity QED: the dressed dephasing model. Phys. Rev. A 77, 060305(R) (2008). https:\/\/doi.org\/10.1103\/PhysRevA.77.060305","journal-title":"Phys. Rev. A"},{"key":"4914_CR55","doi-asserted-by":"publisher","first-page":"053805","DOI":"10.1103\/PhysRevA.78.053805","volume":"78","author":"T Werlang","year":"2008","unstructured":"Werlang, T., Dodonov, A.V., Duzzioni, E.I., Villas-Boas, C.J.: Rabi model beyond the rotating-wave approximation: generation of photons from vacuum through decoherence. Phys. Rev. A 78, 053805 (2008). https:\/\/doi.org\/10.1103\/PhysRevA.78.053805","journal-title":"Phys. Rev. A"},{"key":"4914_CR56","doi-asserted-by":"publisher","first-page":"515","DOI":"10.1038\/nature05461","volume":"445","author":"DI Schuster","year":"2007","unstructured":"Schuster, D.I., et al.: Resolving photon number states in a superconducting circuit. Nature 445, 515 (2007). https:\/\/doi.org\/10.1038\/nature05461","journal-title":"Nature"},{"key":"4914_CR57","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1038\/s41534-025-01017-w","volume":"11","author":"KY Lee","year":"2025","unstructured":"Lee, K.Y., Lin, J.-D., Lemr, K., \u010cernoch, A., Miranowicz, A., Nori, F., Ku, H.-Y., Chen, Y.N.: Unveiling quantum steering by quantum-classical uncertainty complementarity. NPJ Quantum Inf. 11, 72 (2025). https:\/\/doi.org\/10.1038\/s41534-025-01017-w","journal-title":"NPJ Quantum Inf."},{"key":"4914_CR58","doi-asserted-by":"publisher","first-page":"041008","DOI":"10.1103\/PhysRevX.5.041008","volume":"5","author":"R Gallego","year":"2015","unstructured":"Gallego, R., Aolita, L.: Resource theory of steering. Phys. Rev. X 5, 041008 (2015). https:\/\/doi.org\/10.1103\/PhysRevX.5.041008","journal-title":"Phys. Rev. X"},{"key":"4914_CR59","doi-asserted-by":"publisher","first-page":"4973","DOI":"10.1038\/s41467-022-32466-y","volume":"13","author":"HY Ku","year":"2022","unstructured":"Ku, H.Y., Hsieh, C.Y., Chen, S.L., Chen, Y.N., Budroni, C.: Complete classification of steerability under local filters and its relation with measurement incompatibility. Nat. Commun. 13, 4973 (2022). https:\/\/doi.org\/10.1038\/s41467-022-32466-y","journal-title":"Nat. Commun."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-025-04914-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-025-04914-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-025-04914-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,16]],"date-time":"2025-10-16T17:41:27Z","timestamp":1760636487000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-025-04914-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,5]]},"references-count":59,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2025,9]]}},"alternative-id":["4914"],"URL":"https:\/\/doi.org\/10.1007\/s11128-025-04914-3","relation":{},"ISSN":["1573-1332"],"issn-type":[{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2025,9,5]]},"assertion":[{"value":"12 July 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 August 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 September 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"298"}}