{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,25]],"date-time":"2025-08-25T18:40:24Z","timestamp":1756147224645,"version":"3.44.0"},"reference-count":55,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T00:00:00Z","timestamp":1753747200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T00:00:00Z","timestamp":1753747200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11701135"],"award-info":[{"award-number":["11701135"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Hebei Natural Science Foundation of China","award":["A2017403025"],"award-info":[{"award-number":["A2017403025"]}]},{"DOI":"10.13039\/501100008759","name":"PhD Research Startup Foundation of Hebei GEO University","doi-asserted-by":"crossref","award":["BQ201615"],"award-info":[{"award-number":["BQ201615"]}],"id":[{"id":"10.13039\/501100008759","id-type":"DOI","asserted-by":"crossref"}]},{"name":"National Pre-research Funds of Hebei GEO University","award":["KY2025YB15"],"award-info":[{"award-number":["KY2025YB15"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-025-04845-z","type":"journal-article","created":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T14:32:25Z","timestamp":1753799545000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Quantifying nonclassical correlation via the generalized Wigner\u2013Yanase skew information"],"prefix":"10.1007","volume":"24","author":[{"given":"Yan","family":"Hong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinlan","family":"Hao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Limin","family":"Gao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,7,29]]},"reference":[{"key":"4845_CR1","doi-asserted-by":"publisher","first-page":"865","DOI":"10.1103\/RevModPhys.81.865","volume":"81","author":"R Horodecki","year":"2009","unstructured":"Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81, 865 (2009). https:\/\/doi.org\/10.1103\/RevModPhys.81.865","journal-title":"Rev. Mod. Phys."},{"key":"4845_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.physrep.2009.02.004","volume":"479","author":"O G\u00fchne","year":"2009","unstructured":"G\u00fchne, O., T\u00f3th, G.: Entanglement detection. Phys. Rep. 479, 1 (2009). https:\/\/doi.org\/10.1016\/j.physrep.2009.02.004","journal-title":"Phys. Rep."},{"key":"4845_CR3","doi-asserted-by":"publisher","first-page":"1655","DOI":"10.1103\/RevModPhys.84.1655","volume":"84","author":"K Modi","year":"2012","unstructured":"Modi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: The classical-quantum boundary for correlations: discord and related measures. Rev. Mod. Phys. 84, 1655 (2012). https:\/\/doi.org\/10.1103\/RevModPhys.84.1655","journal-title":"Rev. Mod. Phys."},{"key":"4845_CR4","doi-asserted-by":"publisher","first-page":"1727","DOI":"10.1103\/RevModPhys.81.1727","volume":"81","author":"MD Reid","year":"2009","unstructured":"Reid, M.D., Drummond, P.D., Bowen, W.P., Cavalcanti, E.G., Lam, P.K., Bachor, H.A., Andersen, U.L., Leuchs, G.: Colloquium: the Einstein\u2013Podolsky\u2013Rosen paradox: from concepts to applications. Phys. Rep. 81, 1727 (2009). https:\/\/doi.org\/10.1103\/RevModPhys.81.1727","journal-title":"Phys. Rep."},{"key":"4845_CR5","doi-asserted-by":"publisher","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":"4845_CR6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.71.052302","volume":"71","author":"ZQ Chen","year":"2005","unstructured":"Chen, Z.Q.: Wigner\u2013Yanase skew information as tests for quantum entanglement. Phys. Rev. A 71, 052302 (2005). https:\/\/doi.org\/10.1103\/PhysRevA.71.052302","journal-title":"Phys. Rev. A"},{"key":"4845_CR7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.85.022321","volume":"85","author":"P Hyllus","year":"2012","unstructured":"Hyllus, P., Laskowski, W., Krischek, R., Schwemmer, C., Wieczorek, W., Weinfurter, H., Pezz\u00e9, L., Smerzi, A.: Fisher information and multiparticle entanglement. Phys. Rev. A 85, 022321 (2012). https:\/\/doi.org\/10.1103\/PhysRevA.85.022321","journal-title":"Phys. Rev. A"},{"key":"4845_CR8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.85.022322","volume":"85","author":"G T\u00f3th","year":"2012","unstructured":"T\u00f3th, G.: Multipartite entanglement and high-precision metrology. Phys. Rev. A 85, 022322 (2012). https:\/\/doi.org\/10.1103\/PhysRevA.85.022322","journal-title":"Phys. Rev. A"},{"key":"4845_CR9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.88.014301","volume":"88","author":"N Li","year":"2013","unstructured":"Li, N., Luo, S.: Entanglement detection via quantum Fisher information. Phys. Rev. A 88, 014301 (2013). https:\/\/doi.org\/10.1103\/PhysRevA.88.014301","journal-title":"Phys. Rev. A"},{"key":"4845_CR10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.91.042313","volume":"91","author":"Y Hong","year":"2015","unstructured":"Hong, Y., Luo, S., Song, H.T.: Detecting $$k$$-nonseparability via quantum Fisher information. Phys. Rev. A 91, 042313 (2015). https:\/\/doi.org\/10.1103\/PhysRevA.91.042313","journal-title":"Phys. Rev. A"},{"key":"4845_CR11","doi-asserted-by":"publisher","DOI":"10.1088\/1612-202X\/ab8793","volume":"17","author":"QH Zhang","year":"2019","unstructured":"Zhang, Q.H., Fei, S.M.: A sufficient entanglement criterion based on quantum Fisher information and variance. Laser Phys. Lett. 17, 065202 (2019). https:\/\/doi.org\/10.1088\/1612-202X\/ab8793","journal-title":"Laser Phys. Lett."},{"key":"4845_CR12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.012304","volume":"99","author":"Y Akbari-Kourbolagh","year":"2019","unstructured":"Akbari-Kourbolagh, Y., Azhdargalam, M.: Entanglement criterion for multipartite systems based on quantum Fisher information. Phys. Rev. A 99, 012304 (2019). https:\/\/doi.org\/10.1103\/PhysRevA.99.012304","journal-title":"Phys. Rev. A"},{"key":"4845_CR13","doi-asserted-by":"publisher","DOI":"10.1088\/1572-9494\/ab892f","volume":"72","author":"XF Huang","year":"2020","unstructured":"Huang, X.F., Zhang, T.G., Jing, N.H.: Uncertainty relations based on Wigner\u2013Yanase skew information. Commun. Theor. Phys. 72, 075101 (2020). https:\/\/doi.org\/10.1088\/1572-9494\/ab892f","journal-title":"Commun. Theor. Phys."},{"key":"4845_CR14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.108.144414","volume":"108","author":"F Dell\u2019Anna","year":"2023","unstructured":"Dell\u2019Anna, F., Pradhan, S., Boschi, C.D.E., Ercolessi, E.: Quantum Fisher information and multipartite entanglement in spin-1 chains. Phys. Rev. B 108, 144414 (2023). https:\/\/doi.org\/10.1103\/PhysRevB.108.144414","journal-title":"Phys. Rev. B"},{"key":"4845_CR15","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2024.107624","volume":"60","author":"Y Hong","year":"2024","unstructured":"Hong, Y., Xing, Y.B., Gao, L.M., Gao, T., Yan, F.L.: Multipartite entanglement detection via generalized Wigner\u2013Yanase skew information. Results Phys. 60, 107624 (2024). https:\/\/doi.org\/10.1016\/j.rinp.2024.107624","journal-title":"Results Phys."},{"key":"4845_CR16","doi-asserted-by":"publisher","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\u2013Podolsky\u2013Rosen nonlocality. Phys. Rev. Lett. 106, 130402 (2011). https:\/\/doi.org\/10.1103\/PhysRevLett.106.130402","journal-title":"Phys. Rev. Lett."},{"key":"4845_CR17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.87.062103","volume":"87","author":"J Schneeloch","year":"2013","unstructured":"Schneeloch, J., Broadbent, C.J., Walborn, S.P., Cavalcanti, E.G., Howell, J.C.: Einstein\u2013Podolsky\u2013Rosen steering inequalities from entropic uncertainty relations. Phys. Rev. A 87, 062103 (2013). https:\/\/doi.org\/10.1103\/PhysRevA.87.062103","journal-title":"Phys. Rev. A"},{"key":"4845_CR18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.92.062130","volume":"92","author":"S-W Ji","year":"2015","unstructured":"Ji, S.-W., Lee, J., Park, J., Nha, H.: Steering criteria via covariance matrices of local observables in arbitrary-dimensional quantum systems. Phys. Rev. A 92, 062130 (2015). https:\/\/doi.org\/10.1103\/PhysRevA.92.062130","journal-title":"Phys. Rev. A"},{"key":"4845_CR19","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":"4845_CR20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.2.023130","volume":"2","author":"A Ketterer","year":"2020","unstructured":"Ketterer, A., G\u00fchne, O.: Entropic uncertainty relations from quantum designs. Phys. Rev. Res. 2, 023130 (2020). https:\/\/doi.org\/10.1103\/PhysRevResearch.2.023130","journal-title":"Phys. Rev. Res."},{"key":"4845_CR21","doi-asserted-by":"publisher","first-page":"1001","DOI":"10.1137\/21M1408105","volume":"82","author":"A Ketterer","year":"2020","unstructured":"Ketterer, A.: Estimating the Shannon entropy and (un)certainty relations for design-structured POVMs. SIAM J. Appl. Math. 82, 1001\u20131019 (2020). https:\/\/doi.org\/10.1137\/21M1408105","journal-title":"SIAM J. Appl. Math."},{"key":"4845_CR22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.106.042402","volume":"106","author":"LM Lai","year":"2022","unstructured":"Lai, L.M., Luo, S.: Detecting Einstein\u2013Podolsky\u2013Rosen steering via correlation matrices. Phys. Rev. A 106, 042402 (2022). https:\/\/doi.org\/10.1103\/PhysRevA.106.042402","journal-title":"Phys. Rev. A"},{"key":"4845_CR23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.105.022421","volume":"105","author":"I Gianani","year":"2022","unstructured":"Gianani, I., Berardi, V., Barbieri, M.: Witnessing quantum steering by means of the Fisher information. Phys. Rev. A 105, 022421 (2022). https:\/\/doi.org\/10.1103\/PhysRevA.105.022421","journal-title":"Phys. Rev. A"},{"key":"4845_CR24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.110.012418","volume":"110","author":"LJ Li","year":"2024","unstructured":"Li, L.J., Fan, X.G., Song, X.K., Ye, L., Wang, D.: Einstein\u2013Podolsky\u2013Rosen steering criterion and monogamy relation via correlation matrices in tripartite systems. Phys. Rev. A 110, 012418 (2024). https:\/\/doi.org\/10.1103\/PhysRevA.110.012418","journal-title":"Phys. Rev. A"},{"key":"4845_CR25","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). https:\/\/doi.org\/10.1103\/PhysRevA.54.3824","journal-title":"Phys. Rev. A"},{"key":"4845_CR26","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1080\/09500340008244048","volume":"47","author":"G Vidal","year":"2000","unstructured":"Vidal, G.: Entanglement monotones. J. Mod. Opt. 47, 355 (2000). https:\/\/doi.org\/10.1080\/09500340008244048","journal-title":"J. Mod. Opt."},{"key":"4845_CR27","doi-asserted-by":"publisher","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":"4845_CR28","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.77.042303","volume":"77","author":"S Luo","year":"2008","unstructured":"Luo, S.: Quantum discord for two-qubit systems. Phys. Rev. A 77, 042303 (2008). https:\/\/doi.org\/10.1103\/PhysRevA.77.042303","journal-title":"Phys. Rev. A"},{"key":"4845_CR29","doi-asserted-by":"publisher","first-page":"10007","DOI":"10.1209\/0295-5075\/107\/10007","volume":"107","author":"CS Yu","year":"2014","unstructured":"Yu, C.S., Wu, S., Wang, X.G., Yi, X.X., Song, H.S.: Quantum correlation measure in arbitrary bipartite systems. Europhys. Lett. 107, 10007 (2014). https:\/\/doi.org\/10.1209\/0295-5075\/107\/10007","journal-title":"Europhys. Lett."},{"key":"4845_CR30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.106.120401","volume":"106","author":"S Luo","year":"2011","unstructured":"Luo, S., Fu, S.: Measurement-induced nonlocality. Phys. Rev. Lett. 106, 120401 (2011). https:\/\/doi.org\/10.1103\/PhysRevLett.106.120401","journal-title":"Phys. Rev. Lett."},{"key":"4845_CR31","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/17\/3\/033004","volume":"17","author":"ML Hu","year":"2015","unstructured":"Hu, M.L., Fan, H.: Measurement-induced nonlocality based on the trace norm. New J. Phys. 17, 033004 (2015). https:\/\/doi.org\/10.1088\/1367-2630\/17\/3\/033004","journal-title":"New J. Phys."},{"key":"4845_CR32","doi-asserted-by":"publisher","first-page":"3028","DOI":"10.1016\/j.physleta.2017.07.031","volume":"381","author":"R Muthuganesan","year":"2017","unstructured":"Muthuganesan, R., Sankaranarayanan, R.: Fidelity based measurement induced nonlocality. Phys. Lett. A 381, 3028 (2017). https:\/\/doi.org\/10.1016\/j.physleta.2017.07.031","journal-title":"Phys. Lett. A"},{"key":"4845_CR33","doi-asserted-by":"publisher","first-page":"1","DOI":"10.5555\/2011706.2011707","volume":"7","author":"MB Plenio","year":"2007","unstructured":"Plenio, M.B., Virmani, S.: An introduction to entanglement measures. Quantum Inf. Comput. 7, 1 (2007). https:\/\/doi.org\/10.5555\/2011706.2011707","journal-title":"Quantum Inf. Comput."},{"key":"4845_CR34","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). https:\/\/doi.org\/10.1103\/PhysRevLett.80.2245","journal-title":"Phys. Rev. Lett."},{"key":"4845_CR35","doi-asserted-by":"publisher","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\u2013Podolsky\u2013Rosen paradox. Phys. Rev. Lett. 98, 140402 (2007). https:\/\/doi.org\/10.1103\/PhysRevLett.98.140402","journal-title":"Phys. Rev. Lett."},{"key":"4845_CR36","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. Physics 1, 195 (1964). https:\/\/doi.org\/10.1103\/PhysicsPhysiqueFizika.1.195","journal-title":"Physics"},{"key":"4845_CR37","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1103\/RevModPhys.86.419","volume":"86","author":"N Brunner","year":"2014","unstructured":"Brunner, N., Cavalcanti, D., Pironio, S., Scarani, V., Wehner, S.: Bell nonlocality. Rev. Mod. Phys. 86, 419 (2014). https:\/\/doi.org\/10.1103\/RevModPhys.86.419","journal-title":"Rev. Mod. Phys."},{"key":"4845_CR38","doi-asserted-by":"publisher","first-page":"11301","DOI":"10.1007\/s11467-022-1222-x","volume":"18","author":"XG Fan","year":"2023","unstructured":"Fan, X.G., Zhao, F., Yang, H., Ming, F., Wang, D., Ye, L.: Inequality relations for the hierarchy of quantum correlations in two-qubit systems. Front. Phys. 18, 11301 (2023). https:\/\/doi.org\/10.1007\/s11467-022-1222-x","journal-title":"Front. Phys."},{"key":"4845_CR39","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.85.032117","volume":"85","author":"S Luo","year":"2012","unstructured":"Luo, S., Fu, S.: Quantifying correlations via the Wigner\u2013Yanase skew information. Phys. Rev. A 85, 032117 (2012). https:\/\/doi.org\/10.1103\/PhysRevA.85.032117","journal-title":"Phys. Rev. A"},{"key":"4845_CR40","doi-asserted-by":"publisher","first-page":"3967","DOI":"10.1007\/s10773-020-04646-3","volume":"59","author":"YJ Fan","year":"2020","unstructured":"Fan, Y.J., Wang, W.H.: Characterizing correlations via skew information. Int. J. Theor. Phys. 59, 3967 (2020). https:\/\/doi.org\/10.1007\/s10773-020-04646-3","journal-title":"Int. J. Theor. Phys."},{"key":"4845_CR41","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.100.042106","volume":"100","author":"HJ Xing","year":"2019","unstructured":"Xing, H.J., Chen, J.F., Fu, L.B.: Measure of bipartite correlation for quantum metrology. Phys. Rev. A 100, 042106 (2019). https:\/\/doi.org\/10.1103\/PhysRevA.100.042106","journal-title":"Phys. Rev. A"},{"key":"4845_CR42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.97.032326","volume":"97","author":"S Kim","year":"2018","unstructured":"Kim, S., Li, L.S., Kumar, A., Wu, J.D.: Characterizing nonclassical correlations via local quantum Fisher information. Phys. Rev. A 97, 032326 (2018). https:\/\/doi.org\/10.1103\/PhysRevA.97.032326","journal-title":"Phys. Rev. A"},{"key":"4845_CR43","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.240402","volume":"110","author":"D Girolami","year":"2013","unstructured":"Girolami, D., Tufarelli, T., Adesso, G.: Characterizing nonclassical correlations via local quantum uncertainty. Phys. Rev. Lett. 110, 240402 (2013). https:\/\/doi.org\/10.1103\/PhysRevLett.110.240402","journal-title":"Phys. Rev. Lett."},{"key":"4845_CR44","doi-asserted-by":"publisher","first-page":"263","DOI":"10.3390\/e23030263","volume":"23","author":"P Gibilisco","year":"2021","unstructured":"Gibilisco, P., Girolami, D., Hansen, F.: A unified approach to local quantum uncertainty and interferometric power by metric adjusted skew information. Entropy 23, 263 (2021). https:\/\/doi.org\/10.3390\/e23030263","journal-title":"Entropy"},{"key":"4845_CR45","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/0001-8708(73)90011-X","volume":"11","author":"EH Lieb","year":"1973","unstructured":"Lieb, E.H.: Convex trace functions and the Wigner\u2013Yanase\u2013Dyson conjecture. Adv. Math. 11, 267 (1973). https:\/\/doi.org\/10.1016\/0001-8708(73)90011-X","journal-title":"Adv. Math."},{"key":"4845_CR46","doi-asserted-by":"publisher","first-page":"885","DOI":"10.1090\/S0002-9939-03-07175-2","volume":"132","author":"S Luo","year":"2004","unstructured":"Luo, S.: Wigner\u2013Yanase skew information vs. quantum Fisher information. Proc. Am. Math. Soc. 132, 885 (2004). https:\/\/doi.org\/10.1090\/S0002-9939-03-07175-2","journal-title":"Proc. Am. Math. Soc."},{"key":"4845_CR47","doi-asserted-by":"publisher","first-page":"681","DOI":"10.1007\/s11232-005-0098-6","volume":"143","author":"S Luo","year":"2005","unstructured":"Luo, S.: Quantum versus classical uncertainty. Theor. Math. Phys. 143, 681 (2005). https:\/\/doi.org\/10.1007\/s11232-005-0098-6","journal-title":"Theor. Math. Phys."},{"key":"4845_CR48","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.106.052401","volume":"106","author":"MC Yang","year":"2022","unstructured":"Yang, M.C., Qiao, C.F.: Generalized Wigner\u2013Yanase skew information and the affiliated inequality. Phys. Rev. A 106, 052401 (2022). https:\/\/doi.org\/10.1103\/PhysRevA.106.052401","journal-title":"Phys. Rev. A"},{"key":"4845_CR49","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11005-010-0396-2","volume":"93","author":"L Cai","year":"2010","unstructured":"Cai, L., Hansen, F.: Metric-adjusted skew information: convexity and restricted forms of superadditivity. Lett. Math. Phys. 93, 1 (2010). https:\/\/doi.org\/10.1007\/s11005-010-0396-2","journal-title":"Lett. Math. Phys."},{"key":"4845_CR50","doi-asserted-by":"publisher","first-page":"9909","DOI":"10.1073\/pnas.0803323105","volume":"105","author":"F Hansen","year":"2008","unstructured":"Hansen, F.: Metric adjusted skew information. Proc. Natl. Acad. Sci. U.S.A. 105, 9909 (2008). https:\/\/doi.org\/10.1073\/pnas.0803323105","journal-title":"Proc. Natl. Acad. Sci. U.S.A."},{"key":"4845_CR51","doi-asserted-by":"publisher","first-page":"915","DOI":"10.1080\/09500340308234541","volume":"50","author":"M Gregoratti","year":"2003","unstructured":"Gregoratti, M., Werner, R.F.: Quantum lost and found. J. Mod. Opt. 50, 915 (2003). https:\/\/doi.org\/10.1080\/09500340308234541","journal-title":"J. Mod. Opt."},{"key":"4845_CR52","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/0024-3795(93)90274-R","volume":"193","author":"LJ Landau","year":"1993","unstructured":"Landau, L.J., Streater, R.F.: On Birkhoff\u2019s theorem for doubly stochastic completely positive maps of matrix algebras. Linear Algebra Appl. 193, 107 (1993). https:\/\/doi.org\/10.1016\/0024-3795(93)90274-R","journal-title":"Linear Algebra Appl."},{"key":"4845_CR53","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.64.042315","volume":"64","author":"P Rungta","year":"2001","unstructured":"Rungta, P., Bu\u017eek, V., Caves, C.M., Hillery, M., Milburn, G.J.: Universal state inversion and concurrence in arbitrary dimensions. Phys. Rev. A 64, 042315 (2001). https:\/\/doi.org\/10.1103\/PhysRevA.64.042315","journal-title":"Phys. Rev. A"},{"key":"4845_CR54","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.92.167902","volume":"92","author":"F Mintert","year":"2004","unstructured":"Mintert, F., Ku\u015b, M., Buchleitner, A.: Concurrence of mixed bipartite quantum states in arbitrary dimensions. Phys. Rev. Lett. 92, 167902 (2004). https:\/\/doi.org\/10.1103\/PhysRevLett.92.167902","journal-title":"Phys. Rev. Lett."},{"key":"4845_CR55","volume-title":"Applied Inequalities","author":"JC Kuang","year":"2021","unstructured":"Kuang, J.C.: Applied Inequalities. Shandong Science and Technology Press, Jinan (2021). (in Chinese)"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-025-04845-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-025-04845-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-025-04845-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,25]],"date-time":"2025-08-25T18:02:47Z","timestamp":1756144967000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-025-04845-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,29]]},"references-count":55,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2025,8]]}},"alternative-id":["4845"],"URL":"https:\/\/doi.org\/10.1007\/s11128-025-04845-z","relation":{},"ISSN":["1573-1332"],"issn-type":[{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2025,7,29]]},"assertion":[{"value":"19 February 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 June 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 July 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"242"}}