{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T16:51:42Z","timestamp":1781283102545,"version":"3.54.1"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,2,23]],"date-time":"2023-02-23T00:00:00Z","timestamp":1677110400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,2,23]],"date-time":"2023-02-23T00:00:00Z","timestamp":1677110400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000086","name":"Directorate for Mathematical and Physical Sciences","doi-asserted-by":"publisher","award":["2105583"],"award-info":[{"award-number":["2105583"]}],"id":[{"id":"10.13039\/100000086","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-023-03872-y","type":"journal-article","created":{"date-parts":[[2023,2,23]],"date-time":"2023-02-23T18:02:21Z","timestamp":1677175341000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Coherence as entropy increment for Tsallis and R\u00e9nyi entropies"],"prefix":"10.1007","volume":"22","author":[{"given":"Anna","family":"Vershynina","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,2,23]]},"reference":[{"key":"3872_CR1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.113.150402","volume":"113","author":"J Aberg","year":"2014","unstructured":"Aberg, J.: Catalytic coherence. Phys. Rev. Lett. 113, 150402 (2014)","journal-title":"Phys. Rev. Lett."},{"issue":"14","key":"3872_CR2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.113.140401","volume":"113","author":"T Baumgratz","year":"2014","unstructured":"Baumgratz, T., Cramer, M., Plenio, M.B.: Quantifying coherence. Phys. Rev. Lett. 113(14), 140401 (2014)","journal-title":"Phys. Rev. Lett."},{"issue":"3","key":"3872_CR3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.117.030401","volume":"117","author":"E Chitambar","year":"2016","unstructured":"Chitambar, E., Gour, G.: Critical examination of incoherent operations and a physically consistent resource theory of quantum coherence. Phys. Rev. Lett. 117(3), 030401 (2016)","journal-title":"Phys. Rev. Lett."},{"issue":"5","key":"3872_CR4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.94.052336","volume":"94","author":"E Chitambar","year":"2016","unstructured":"Chitambar, E., Gour, G.: Comparison of incoherent operations and measures of coherence. Phys. Rev. A 94(5), 052336 (2016)","journal-title":"Phys. Rev. A"},{"issue":"2","key":"3872_CR5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.117.020402","volume":"117","author":"E Chitambar","year":"2016","unstructured":"Chitambar, E., Hsieh, M.H.: Relating the resource theories of entanglement and quantum coherence. Phys. Rev. Lett. 117(2), 020402 (2016)","journal-title":"Phys. Rev. Lett."},{"issue":"21","key":"3872_CR6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.115.210403","volume":"115","author":"P Cwikliski","year":"2015","unstructured":"Cwikliski, P., Studziski, M., Horodecki, M., Oppenheim, J.: Limitations on the evolution of quantum coherences: towards fully quantum second laws of thermodynamics. Phys. Rev. Lett. 115(21), 210403 (2015)","journal-title":"Phys. Rev. Lett."},{"issue":"8","key":"3872_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11128-021-03199-6","volume":"20","author":"Y Dai","year":"2021","unstructured":"Dai, Y., Hu, J., Zhang, Z., Zhang, C., Dong, Y., Wang, X.: Measurement-induced entropy increment for quantifying genuine coherence. Quantum Inf. Process. 20(8), 1\u201312 (2021)","journal-title":"Quantum Inf. Process."},{"issue":"4","key":"3872_CR8","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/50\/4\/045301","volume":"50","author":"JI De Vicente","year":"2016","unstructured":"De Vicente, J.I., Streltsov, A.: Genuine quantum coherence. J. Phys. A Math. Theor. 50(4), 045301 (2016)","journal-title":"J. Phys. A Math. Theor."},{"issue":"5","key":"3872_CR9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.91.052120","volume":"91","author":"S Du","year":"2015","unstructured":"Du, S., Bai, Z., Guo, Y.: Conditions for coherence transformations under incoherent operations. Phys. Rev. A 91(5), 052120 (2015)","journal-title":"Phys. Rev. A"},{"issue":"6","key":"3872_CR10","doi-asserted-by":"publisher","first-page":"2766","DOI":"10.1103\/PhysRev.131.2766","volume":"131","author":"RJ Glauber","year":"1963","unstructured":"Glauber, R.J.: Coherent and incoherent states of the radiation field. Phys. Rev. 131(6), 2766 (1963)","journal-title":"Phys. Rev."},{"key":"3872_CR11","first-page":"145","volume":"58","author":"GH Hardy","year":"1929","unstructured":"Hardy, G.H., Littlewood, J.E., P\u00f3lya, G.: Some simple inequalities satisfied by convex function. Messenger Math. 58, 145\u2013152 (1929)","journal-title":"Messenger Math."},{"issue":"07","key":"3872_CR12","doi-asserted-by":"publisher","first-page":"1750023","DOI":"10.1142\/S0129055X17500234","volume":"29","author":"F Hiai","year":"2017","unstructured":"Hiai, F., Mosonyi, M.: Different quantum $$f$$-divergences and the reversibility of quantum operations. Rev. Math. Phys. 29(07), 1750023 (2017)","journal-title":"Rev. Math. Phys."},{"key":"3872_CR13","first-page":"1","volume":"762","author":"ML Hu","year":"2018","unstructured":"Hu, M.L., Hu, X., Wang, J., Peng, Y., Zhang, Y.R., Fan, H.: Quantum coherence and geometric quantum discord. Phys. Rep. 762, 1\u2013100 (2018)","journal-title":"Phys. Rep."},{"issue":"1","key":"3872_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1038\/srep22174","volume":"6","author":"P Kammerlander","year":"2016","unstructured":"Kammerlander, P., Anders, J.: Coherence and measurement in quantum thermodynamics. Sci. Rep. 6(1), 1\u20137 (2016)","journal-title":"Sci. Rep."},{"key":"3872_CR15","doi-asserted-by":"publisher","first-page":"6383","DOI":"10.1038\/ncomms7383","volume":"6","author":"M Lostaglio","year":"2015","unstructured":"Lostaglio, M., Jennings, D., Rudolph, T.: Description of quantum coherence in thermodynamic processes requires constraints beyond free energy. Nat. Commun. 6, 6383 (2015)","journal-title":"Nat. Commun."},{"issue":"16","key":"3872_CR16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.160407","volume":"116","author":"J Ma","year":"2016","unstructured":"Ma, J., Yadin, B., Girolami, D., Vedral, V., Gu, M.: Converting coherence to quantum correlations. Phys. Rev. Lett. 116(16), 160407 (2016)","journal-title":"Phys. Rev. Lett."},{"key":"3872_CR17","doi-asserted-by":"crossref","unstructured":"Marshall, A. W., Olkin, I., Arnold, B.C.: Doubly Stochastic Matrices. In Inequalities: Theory of Majorization and Its Applications, pp. 29\u201377. Springer, New York (2010)","DOI":"10.1007\/978-0-387-68276-1_2"},{"issue":"4","key":"3872_CR18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.042107","volume":"93","author":"M Piani","year":"2016","unstructured":"Piani, M., Cianciaruso, M., Bromley, T.R., Napoli, C., Johnston, N., Adesso, G.: Robustness of asymmetry and coherence of quantum states. Phys. Rev. A 93(4), 042107 (2016)","journal-title":"Phys. Rev. A"},{"key":"3872_CR19","doi-asserted-by":"crossref","unstructured":"Pinelis, I.: Modulus of continuity of the quantum f-entropy with respect to the trace distance. arXiv preprint arXiv:2107.10112 (2021)","DOI":"10.7153\/mia-2021-24-66"},{"issue":"15","key":"3872_CR20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.150504","volume":"116","author":"C Radhakrishnan","year":"2016","unstructured":"Radhakrishnan, C., Parthasarathy, M., Jambulingam, S., Byrnes, T.: Distribution of quantum coherence in multipartite systems. Phys. Rev. Lett. 116(15), 150504 (2016)","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"3872_CR21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.012110","volume":"93","author":"S Rana","year":"2016","unstructured":"Rana, S., Parashar, P., Lewenstein, M.: Trace-distance measure of coherence. Phys. Rev. A 93(1), 012110 (2016)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"3872_CR22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.032136","volume":"93","author":"AE Rastegin","year":"2016","unstructured":"Rastegin, A.E.: Quantum-coherence quantifiers based on the Tsallis relative $$\\alpha $$ entropies. Phys. Rev. A 93(3), 032136 (2016)","journal-title":"Phys. Rev. A"},{"key":"3872_CR23","doi-asserted-by":"publisher","first-page":"9942","DOI":"10.1021\/jp901724d","volume":"113","author":"P Rebentrost","year":"2009","unstructured":"Rebentrost, P., Mohseni, M., Aspuru-Guzik, A.: Role of quantum coherence and environmental fluctuations in chromophoric energy transport. J. Phys. Chem. B 113, 9942 (2009)","journal-title":"J. Phys. Chem. B"},{"issue":"9\u201320","key":"3872_CR24","first-page":"51","volume":"22","author":"I Schur","year":"1923","unstructured":"Schur, I.: Uber eine Klasse von Mittelbildungen mit Anwendungen auf die Determinantentheorie. Sitzungsberichte der Berliner Mathematischen Gesellschaft 22(9\u201320), 51 (1923)","journal-title":"Sitzungsberichte der Berliner Mathematischen Gesellschaft"},{"key":"3872_CR25","doi-asserted-by":"crossref","unstructured":"Scully, M.O., Zubairy, M.S.: Quantum Optics, Cambridge. Ch, 4, 17 (1997)","DOI":"10.1017\/CBO9780511813993"},{"issue":"4","key":"3872_CR26","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.91.042120","volume":"91","author":"LH Shao","year":"2015","unstructured":"Shao, L.H., Xi, Z., Fan, H., Li, Y.: Fidelity and trace-norm distances for quantifying coherence. Phys. Rev. A 91(4), 042120 (2015)","journal-title":"Phys. Rev. A"},{"issue":"6","key":"3872_CR27","doi-asserted-by":"publisher","first-page":"631","DOI":"10.1088\/0253-6102\/67\/6\/631","volume":"67","author":"LH Shao","year":"2017","unstructured":"Shao, L.H., Li, Y.M., Luo, Y., Xi, Z.J.: Quantum Coherence quantifiers based on R\u00e9nyi $$\\alpha $$-relative entropy. Commun. Theor. Phys. 67(6), 631 (2017)","journal-title":"Commun. Theor. Phys."},{"issue":"4","key":"3872_CR28","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.89.041003","volume":"89","author":"A Streltsov","year":"2017","unstructured":"Streltsov, A., Adesso, G., Plenio, M.B.: Colloquium: quantum coherence as a resource. Rev. Mod. Phys. 89(4), 041003 (2017)","journal-title":"Rev. Mod. Phys."},{"issue":"2","key":"3872_CR29","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.115.020403","volume":"115","author":"A Streltsov","year":"2015","unstructured":"Streltsov, A., Singh, U., Dhar, H.S., Bera, M.N., Adesso, G.: Measuring quantum coherence with entanglement. Phys. Rev. Lett. 115(2), 020403 (2015)","journal-title":"Phys. Rev. Lett."},{"issue":"2","key":"3872_CR30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.94.022329","volume":"94","author":"KC Tan","year":"2016","unstructured":"Tan, K.C., Kwon, H., Park, C.Y., Jeong, H.: Unified view of quantum correlations and quantum coherence. Phys. Rev. A 94(2), 022329 (2016)","journal-title":"Phys. Rev. A"},{"issue":"5","key":"3872_CR31","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11128-022-03531-8","volume":"21","author":"A Vershynina","year":"2022","unstructured":"Vershynina, A.: Measure of genuine coherence based of quasi-relative entropy. Quantum Inf. Process. 21(5), 1\u201322 (2022)","journal-title":"Quantum Inf. Process."},{"key":"3872_CR32","unstructured":"Virosztek, D.: Quantum entropies, relative entropies, and related preserver problems (2016)"},{"issue":"12","key":"3872_CR33","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.120404","volume":"116","author":"A Winter","year":"2016","unstructured":"Winter, A., Yang, D.: Operational resource theory of coherence. Phys. Rev. Lett. 116(12), 120404 (2016)","journal-title":"Phys. Rev. Lett."},{"key":"3872_CR34","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/15\/9\/093020","volume":"15","author":"B Witt","year":"2013","unstructured":"Witt, B., Mintert, F.: Stationary quantum coherence and transport in disordered networks. New J. Phys. 15, 093020 (2013)","journal-title":"New J. Phys."},{"issue":"4","key":"3872_CR35","volume":"6","author":"B Yadin","year":"2016","unstructured":"Yadin, B., Ma, J., Girolami, D., Gu, M., Vedral, V.: Quantum processes which do not use coherence. Phys. Rev. X 6(4), 041028 (2016)","journal-title":"Phys. Rev. X"},{"issue":"2","key":"3872_CR36","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.92.022112","volume":"92","author":"Y Yao","year":"2015","unstructured":"Yao, Y., Xiao, X., Ge, L., Sun, C.P.: Quantum coherence in multipartite systems. Phys. Rev. A 92(2), 022112 (2015)","journal-title":"Phys. Rev. A"},{"issue":"6","key":"3872_CR37","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.94.060302","volume":"94","author":"XD Yu","year":"2016","unstructured":"Yu, X.D., Zhang, D.J., Xu, G.F., Tong, D.M.: Alternative framework for quantifying coherence. Phys. Rev. A 94(6), 060302 (2016)","journal-title":"Phys. Rev. A"},{"issue":"1","key":"3872_CR38","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1038\/s41598-017-18692-1","volume":"8","author":"H Zhao","year":"2018","unstructured":"Zhao, H., Yu, C.S.: Coherence measure in terms of the Tsallis relative $$\\alpha $$ entropy. Sci. Rep. 8(1), 299 (2018)","journal-title":"Sci. Rep."},{"issue":"3","key":"3872_CR39","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.96.032316","volume":"96","author":"H Zhu","year":"2017","unstructured":"Zhu, H., Ma, Z., Cao, Z., Fei, S.M., Vedral, V.: Operational one-to-one mapping between coherence and entanglement measures. Phys. Rev. A 96(3), 032316 (2017)","journal-title":"Phys. Rev. A"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-03872-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-023-03872-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-03872-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,20]],"date-time":"2023-03-20T16:26:41Z","timestamp":1679329601000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-023-03872-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,23]]},"references-count":39,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["3872"],"URL":"https:\/\/doi.org\/10.1007\/s11128-023-03872-y","relation":{},"ISSN":["1573-1332"],"issn-type":[{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2,23]]},"assertion":[{"value":"2 December 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 January 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 February 2023","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 author has no competing interests or conflict of interest to declare that are relevant to the content of this article.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"127"}}