{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T17:06:54Z","timestamp":1763831214799,"version":"3.37.3"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,2,1]],"date-time":"2021-02-01T00:00:00Z","timestamp":1612137600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,2,1]],"date-time":"2021-02-01T00:00:00Z","timestamp":1612137600000},"content-version":"vor","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":["11301025"],"award-info":[{"award-number":["11301025"]}],"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":[[2021,2]]},"DOI":"10.1007\/s11128-021-03008-0","type":"journal-article","created":{"date-parts":[[2021,2,18]],"date-time":"2021-02-18T19:09:25Z","timestamp":1613675365000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Sum uncertainty relations based on metric-adjusted skew information"],"prefix":"10.1007","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5848-7304","authenticated-orcid":false,"given":"Liang","family":"Cai","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,2,15]]},"reference":[{"key":"3008_CR1","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/s11005-008-0269-0","volume":"85","author":"K Audenaert","year":"2008","unstructured":"Audenaert, K., Cai, L., Hansen, F.: Inequalities for quantum skew information. Lett. Math. Phys. 85, 135\u2013146 (2008)","journal-title":"Lett. Math. Phys."},{"issue":"1","key":"3008_CR2","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), 1\u201313 (2010)","journal-title":"Lett. Math. Phys."},{"key":"3008_CR3","doi-asserted-by":"crossref","unstructured":"Cai, L.: Quantum uncertainty based on metric adjusted skew information. Infinite Dimens. Anal., Quantum Probab. Relat. Top. 21(2), 1850006 (2018)","DOI":"10.1142\/S0219025718500066"},{"key":"3008_CR4","doi-asserted-by":"publisher","first-page":"14238","DOI":"10.1038\/srep14238","volume":"5","author":"B Chen","year":"2015","unstructured":"Chen, B., Fei, S.: Sum uncertainty relations for arbitrary $$N$$ incompatible observables. Sci. Rep. 5, 14238 (2015)","journal-title":"Sci. Rep."},{"key":"3008_CR5","doi-asserted-by":"publisher","first-page":"2639","DOI":"10.1007\/s11128-016-1274-3","volume":"15","author":"B Chen","year":"2016","unstructured":"Chen, B., Fei, S., Long, G.: Sum uncertainty relations based on Wigner\u2013Yanase skew information. Quantum Inf. Process. 15, 2639\u20132648 (2016)","journal-title":"Quantum Inf. Process."},{"key":"3008_CR6","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1007\/s11128-019-2415-2","volume":"18","author":"Y Fan","year":"2019","unstructured":"Fan, Y., Cao, H., Wang, W., Meng, H., Chen, L.: Non-Hermitian extensions of uncertainty relations with generalized metric adjusted skew information. Quantum Inf. Process. 18, 309 (2019)","journal-title":"Quantum Inf. Process."},{"key":"3008_CR7","doi-asserted-by":"publisher","first-page":"258","DOI":"10.1007\/s11128-019-2371-x","volume":"18","author":"S Fu","year":"2019","unstructured":"Fu, S., Sun, Y., Luo, S.: Skew information-based uncertainty relations for quantum channels. Quantum Inf. Process. 18, 258 (2019)","journal-title":"Quantum Inf. Process."},{"key":"3008_CR8","doi-asserted-by":"crossref","unstructured":"Gibilisco, P., Imparato, D., Isola, T.: Uncertainty principle and quantum Fisher information. II. J. Math. Phys. 48(7), 072109, 25 (2007)","DOI":"10.1063\/1.2748210"},{"issue":"1","key":"3008_CR9","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1090\/S0002-9939-08-09447-1","volume":"137","author":"P Gibilisco","year":"2009","unstructured":"Gibilisco, P., Imparato, D., Isola, T.: Inequalities for quantum Fisher information. Proc. Am. Math. Soc. 137(1), 317\u2013327 (2009)","journal-title":"Proc. Am. Math. Soc."},{"issue":"1","key":"3008_CR10","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1016\/j.jmaa.2010.09.029","volume":"375","author":"P Gibilisco","year":"2011","unstructured":"Gibilisco, P., Isola, T.: On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information. J. Math. Anal. Appl. 375(1), 270\u2013275 (2011)","journal-title":"J. Math. Anal. Appl."},{"key":"3008_CR11","doi-asserted-by":"publisher","first-page":"117903","DOI":"10.1103\/PhysRevLett.92.117903","volume":"92","author":"O G\u00fchne","year":"2004","unstructured":"G\u00fchne, O.: Characterizing entanglement via uncertainty relations. Phys. Rev. Lett. 92, 117903 (2004)","journal-title":"Phys. Rev. Lett."},{"issue":"29","key":"3008_CR12","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. USA 105(29), 9909\u20139916 (2008)","journal-title":"Proc. Natl. Acad. Sci. USA"},{"issue":"2","key":"3008_CR13","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/0375-9601(67)90366-0","volume":"25","author":"CW Helstrom","year":"1967","unstructured":"Helstrom, C.W.: Minimum mean-squared error of estimates in quantum statistics. Phys. Lett. A 25(2), 101\u2013102 (1967)","journal-title":"Phys. Lett. A"},{"key":"3008_CR14","doi-asserted-by":"publisher","first-page":"032103","DOI":"10.1103\/PhysRevA.68.032103","volume":"68","author":"HF Hofmann","year":"2003","unstructured":"Hofmann, H.F., Takeuchi, S.: Violation of local uncertainty relations as a signature of entanglement. Phys. Rev. A 68, 032103 (2003)","journal-title":"Phys. Rev. A"},{"key":"3008_CR15","unstructured":"Honda, A., Okazaki, Y., Takahashi, Y.: Generalizations of the Hlawka\u2019s inequality. Bull. Kyushu Inst. Technol. Pure Appl. Math. (45), 9\u201315 (1998)"},{"key":"3008_CR16","doi-asserted-by":"publisher","first-page":"014301","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)","journal-title":"Phys. Rev. A"},{"key":"3008_CR17","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\u2013288 (1973)","journal-title":"Adv. Math."},{"key":"3008_CR18","unstructured":"Lieb, E.H., Ruskai, M.B.: Proof of the strong subadditivity of quantum-mechanical entropy. J. Math. Phys. 14, 1938\u20131941 (1973). With an appendix by B. Simon"},{"key":"3008_CR19","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/BF01608390","volume":"39","author":"G Lindblad","year":"1974","unstructured":"Lindblad, G.: Expectations and entropy inequalities for finite quantum systems. Comm. Math. Phys. 39, 111\u2013119 (1974)","journal-title":"Comm. Math. Phys."},{"key":"3008_CR20","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/BF01609396","volume":"40","author":"G Lindblad","year":"1975","unstructured":"Lindblad, G.: Completely positive maps and entropy inequalities. Comm. Math. Phys. 40, 147\u2013151 (1975)","journal-title":"Comm. Math. Phys."},{"key":"3008_CR21","doi-asserted-by":"publisher","first-page":"180403","DOI":"10.1103\/PhysRevLett.91.180403","volume":"91","author":"S Luo","year":"2003","unstructured":"Luo, S.: Wigner\u2013Yanase skew information and uncertainty relations. Phys. Rev. Lett. 91, 180403 (2003)","journal-title":"Phys. Rev. Lett."},{"key":"3008_CR22","unstructured":"Luo, S.: Wigner\u2013Yanase skew information vs. quantum Fisher information. Proc. Am. Math. Soc. 132(3), 885\u2013890 (2004)"},{"key":"3008_CR23","doi-asserted-by":"crossref","unstructured":"Luo, S.: Heisenberg uncertainty relation for mixed states. Phys. Rev. A 72(4), 042110\u20131\u20133 (2005)","DOI":"10.1103\/PhysRevA.72.042110"},{"key":"3008_CR24","doi-asserted-by":"publisher","first-page":"022130","DOI":"10.1103\/PhysRevA.96.022130","volume":"96","author":"S Luo","year":"2017","unstructured":"Luo, S., Sun, Y.: Quantum coherence versus quantum uncertainty. Phys. Rev. A 96, 022130 (2017)","journal-title":"Phys. Rev. A"},{"key":"3008_CR25","doi-asserted-by":"publisher","first-page":"260401","DOI":"10.1103\/PhysRevLett.113.260401","volume":"113","author":"L Maccone","year":"2014","unstructured":"Maccone, L., Pati, A.K.: Stronger uncertainty relations for all incompatible observables. Phys. Rev. Lett. 113, 260401 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"3008_CR26","doi-asserted-by":"crossref","unstructured":"Maassen, H., Uffink, J.B.M.: Generalized entropic uncertainty relations. Phys. Rev. Lett. 60, 1103\u20131106 (1988)","DOI":"10.1103\/PhysRevLett.60.1103"},{"issue":"3","key":"3008_CR27","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/j.physleta.2007.03.005","volume":"367","author":"AK Pati","year":"2007","unstructured":"Pati, A.K., Sahu, P.K.: Sum uncertainty relation in quantum theory. Phys. Lett. A 367(3), 177\u2013181 (2007)","journal-title":"Phys. Lett. A"},{"key":"3008_CR28","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/0024-3795(94)00211-8","volume":"244","author":"D Petz","year":"1996","unstructured":"Petz, D.: Monotone metrics on matrix spaces. Linear Algebra Appl. 244, 81\u201396 (1996)","journal-title":"Linear Algebra Appl."},{"key":"3008_CR29","doi-asserted-by":"crossref","unstructured":"Schilling, R.L., Song, R., Vondra\u010dek, Z.: Bernstein functions. De Gruyter Studies in Mathematics, vol. 37. Walter de Gruyter & Co., Berlin (2010)","DOI":"10.1515\/9783110215311"},{"key":"3008_CR30","doi-asserted-by":"publisher","first-page":"910","DOI":"10.1073\/pnas.49.6.910","volume":"49","author":"EP Wigner","year":"1963","unstructured":"Wigner, E.P., Yanase, M.M.: Information contents of distributions. Proc. Nat. Acad. Sci. 49, 910\u2013918 (1963)","journal-title":"Proc. Nat. Acad. Sci."},{"issue":"1","key":"3008_CR31","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.jmaa.2009.09.060","volume":"365","author":"K Yanagi","year":"2010","unstructured":"Yanagi, K.: Uncertainty relation on Wigner\u2013Yanase\u2013Dyson skew information. J. Math. Anal. Appl. 365(1), 12\u201318 (2010)","journal-title":"J. Math. Anal. Appl."},{"issue":"2","key":"3008_CR32","doi-asserted-by":"publisher","first-page":"888","DOI":"10.1016\/j.jmaa.2011.03.068","volume":"380","author":"K Yanagi","year":"2011","unstructured":"Yanagi, K.: Metric adjusted skew information and uncertainty relation. J. Math. Anal. Appl. 380(2), 888\u2013892 (2011)","journal-title":"J. Math. Anal. Appl."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-021-03008-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-021-03008-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-021-03008-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,18]],"date-time":"2022-12-18T02:10:32Z","timestamp":1671329432000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-021-03008-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,2]]},"references-count":32,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["3008"],"URL":"https:\/\/doi.org\/10.1007\/s11128-021-03008-0","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"type":"print","value":"1570-0755"},{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2021,2]]},"assertion":[{"value":"6 August 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 January 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 February 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"72"}}