{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T13:42:09Z","timestamp":1780062129061,"version":"3.54.0"},"reference-count":43,"publisher":"Pleiades Publishing Ltd","issue":"1","license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Probl Inf Transm"],"published-print":{"date-parts":[[2018,1]]},"DOI":"10.1134\/s0032946018010015","type":"journal-article","created":{"date-parts":[[2018,4,12]],"date-time":"2018-04-12T21:06:42Z","timestamp":1523567202000},"page":"1-19","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Strong Converse for the Feedback-Assisted Classical Capacity of Entanglement-Breaking Channels"],"prefix":"10.1134","volume":"54","author":[{"given":"D.","family":"Ding","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M. M.","family":"Wilde","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"137","published-online":{"date-parts":[[2018,4,13]]},"reference":[{"key":"4316_CR1","doi-asserted-by":"publisher","DOI":"10.1002\/0471200611","volume-title":"Elements of Information Theory","author":"T.M. Cover","year":"1991","unstructured":"Cover, T.M. and Thomas, J.A., Elements of Information Theory, New York: Wiley, 1991."},{"key":"4316_CR2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139030687","volume-title":"Network Information Theory","author":"A. El Gamal","year":"2011","unstructured":"El Gamal, A. and Kim, Y.-H., Network Information Theory, Cambridge: Cambridge Univ. Press, 2011."},{"issue":"1","key":"4316_CR3","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1109\/18.651037","volume":"44","author":"A.S. Holevo","year":"1998","unstructured":"Holevo, A.S., The Capacity of the Quantum Channel with General Signal States, IEEE Trans. Inform. Theory, 1998, vol. 44, no. 1, pp. 269\u2013273.","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"1","key":"4316_CR4","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1103\/PhysRevA.56.131","volume":"56","author":"B. Schumacher","year":"1997","unstructured":"Schumacher, B. and Westmoreland, M.D., Sending Classical Information via Noisy Quantum Channels, Phys. Rev. A, 1997, vol. 56, no. 1, pp. 131\u2013138.","journal-title":"Phys. Rev. A"},{"issue":"4","key":"4316_CR5","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1038\/nphys1224","volume":"5","author":"M.B. Hastings","year":"2009","unstructured":"Hastings, M.B., Superadditivity of Communication Capacity Using Entangled Inputs, Nat. Phys., 2009, vol. 5, no. 4, pp. 255\u2013257.","journal-title":"Nat. Phys."},{"issue":"6","key":"4316_CR6","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1142\/S0129055X03001709","volume":"15","author":"M. Horodecki","year":"2003","unstructured":"Horodecki, M., Shor, P.W., and Ruskai, M.B., Entanglement Breaking Channels, Rev. Math. Phys., 2003, vol. 15, no. 6, pp. 629\u2013641.","journal-title":"Rev. Math. Phys."},{"issue":"9","key":"4316_CR7","doi-asserted-by":"publisher","first-page":"4334","DOI":"10.1063\/1.1498000","volume":"43","author":"P.W. Shor","year":"2002","unstructured":"Shor, P.W., Additivity of the Classical Capacity of Entanglement-Breaking Quantum Channels, J. Math. Phys., 2002, vol. 43, no. 9, pp. 4334\u20134340.","journal-title":"J. Math. Phys."},{"issue":"1","key":"4316_CR8","doi-asserted-by":"publisher","first-page":"320","DOI":"10.1109\/TIT.2004.839519","volume":"51","author":"G. Bowen","year":"2005","unstructured":"Bowen, G. and Nagarajan, R., On Feedback and the Classical Capacity of a Noisy Quantum Channel, IEEE Trans. Inform. Theory, 2005, vol. 51, no. 1, pp. 320\u2013324.","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"6","key":"4316_CR9","doi-asserted-by":"publisher","first-page":"062301","DOI":"10.1103\/PhysRevA.76.062301","volume":"76","author":"M. Hayashi","year":"2007","unstructured":"Hayashi, M., Error Exponent in Asymmetric Quantum Hypothesis Testing and Its Application to Classical-Quantum Channel Coding, Phys. Rev. A, 2007, vol. 76, no. 6, p. 062301.","journal-title":"Phys. Rev. A"},{"key":"4316_CR10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-66822-7","volume-title":"Coding Theorems of Information Theory","author":"J. Wolfowitz","year":"1978","unstructured":"Wolfowitz, J., Coding Theorems of Information Theory, Berlin: Springer, 1978, 3rd ed."},{"issue":"3","key":"4316_CR11","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1109\/TIT.1973.1055007","volume":"19","author":"S. Arimoto","year":"1973","unstructured":"Arimoto, S., On the Converse to the Coding Theorem for Discrete Memoryless Channels, IEEE Trans. Inform. Theory, 1973, vol. 19, no. 3, pp. 357\u2013359.","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"7","key":"4316_CR12","doi-asserted-by":"publisher","first-page":"2486","DOI":"10.1109\/18.796386","volume":"45","author":"T. Ogawa","year":"1999","unstructured":"Ogawa, T. and Nagaoka, H., Strong Converse to the Quantum Channel Coding Theorem, IEEE Trans. Inform. Theory, 1999, vol. 45, no. 7, pp. 2486\u20132489.","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"7","key":"4316_CR13","doi-asserted-by":"publisher","first-page":"2481","DOI":"10.1109\/18.796385","volume":"45","author":"A. Winter","year":"1999","unstructured":"Winter, A., Coding Theorem and Strong Converse for Quantum Channels, IEEE Trans. Inform. Theory, 1999, vol. 45, no. 7, pp. 2481\u20132485.","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"7","key":"4316_CR14","doi-asserted-by":"publisher","first-page":"070504","DOI":"10.1103\/PhysRevLett.103.070504","volume":"103","author":"R. Koenig","year":"2009","unstructured":"Koenig, R. and Wehner, S., A Strong Converse for Classical Channel Coding Using Entangled Inputs, Phys. Rev. Lett., 2009, vol. 103, no. 7, p. 070504.","journal-title":"Phys. Rev. Lett."},{"issue":"2","key":"4316_CR15","doi-asserted-by":"publisher","first-page":"593","DOI":"10.1007\/s00220-014-2122-x","volume":"331","author":"M.M. Wilde","year":"2014","unstructured":"Wilde, M.M., Winter, A., and Yang, D., Strong Converse for the Classical Capacity of Entanglement-Breaking and Hadamard Channels via a Sandwiched R\u00e9nyi Relative Entropy, Comm. Math. Phys., 2014, vol. 331, no. 2, pp. 593\u2013622.","journal-title":"Comm. Math. Phys."},{"issue":"4","key":"4316_CR16","doi-asserted-by":"publisher","first-page":"1842","DOI":"10.1109\/TIT.2015.2403840","volume":"61","author":"B.R. Bardhan","year":"2015","unstructured":"Bardhan, B.R., Garc\u00eda-Patr\u00f3n, R., Wilde, M.M., and Winter, A., Strong Converse for the Classical Capacity of All Phase-Insensitive Bosonic Gaussian Channels, IEEE Trans. Inform. Theory, 2015, vol. 61, no. 4, pp. 1842\u20131850.","journal-title":"IEEE Trans. Inform. Theory"},{"key":"4316_CR17","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1142\/9789812563071_0005","volume-title":"Asymptotic Theory of Quantum Statistical Inference: Selected Papers","author":"H. Nagaoka","year":"2005","unstructured":"Nagaoka, H., Strong Converse Theorems in Quantum Information Theory, Asymptotic Theory of Quantum Statistical Inference: Selected Papers, Hayashi, M., Ed., Singapore: World Sci., 2005, pp. 64\u201365."},{"issue":"12","key":"4316_CR18","doi-asserted-by":"publisher","first-page":"122203","DOI":"10.1063\/1.4838856","volume":"54","author":"M. M\u00fcller-Lennert","year":"2003","unstructured":"M\u00fcller-Lennert, M., Dupuis, F., Szehr, O., Fehr, S., and Tomamichel, M., On Quantum R\u00e9nyi Entropies: A New Generalization and Some Properties, J. Math. Phys., 2003, vol. 54, no. 12, p. 122203.","journal-title":"J. Math. Phys."},{"issue":"2","key":"4316_CR19","first-page":"186","volume":"3","author":"C. King","year":"2003","unstructured":"King, C., Maximal p-Norms of Entanglement Breaking Channels, Quantum Inf. Comput., 2003, vol. 3, no. 2, pp. 186\u2013190.","journal-title":"Quantum Inf. Comput."},{"issue":"4","key":"4316_CR20","doi-asserted-by":"publisher","first-page":"2474","DOI":"10.1109\/TIT.2011.2110050","volume":"57","author":"M. Mosonyi","year":"2011","unstructured":"Mosonyi, M. and Hiai, F., On the Quantum R\u00e9nyi Relative Entropies and Related Capacity Formulas, IEEE Trans. Inform. Theory, 2011, vol. 57, no. 4, pp. 2474\u20132487.","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"3","key":"4316_CR21","doi-asserted-by":"publisher","first-page":"797","DOI":"10.1007\/s00220-016-2645-4","volume":"344","author":"T. Mo.sonyi,M. Cooney","year":"2016","unstructured":"Cooney, T., Mosonyi,M., and Wilde, M.M., Strong Converse Exponents for a Quantum Channel Discrimination Problem and Quantum-Feedback-Assisted Communication, Comm. Math. Phys., 2016, vol. 344, no. 3, pp. 797\u2013829.","journal-title":"Comm. Math. Phys."},{"issue":"2","key":"4316_CR22","doi-asserted-by":"publisher","first-page":"59","DOI":"10.2996\/kmj\/1138844604","volume":"14","author":"H. Umegaki","year":"1962","unstructured":"Umegaki, H., Conditional Expectation in an Operator Algebra, IV (Entropy and Information), K\u014ddai Math. Sem. Rep., 1962, vol. 14, no. 2, pp. 59\u201385.","journal-title":"K\u014ddai Math. Sem. Rep."},{"issue":"12","key":"4316_CR23","doi-asserted-by":"publisher","first-page":"122201","DOI":"10.1063\/1.4838835","volume":"54","author":"R.L. Frank","year":"2013","unstructured":"Frank, R.L. and Lieb, E.H., Monotonicity of a Relative R\u00e9nyi Entropy, J. Math. Phys., 2013, vol. 54, no. 12, p. 122201.","journal-title":"J. Math. Phys."},{"issue":"12","key":"4316_CR24","doi-asserted-by":"publisher","first-page":"122202","DOI":"10.1063\/1.4838855","volume":"54","author":"S. Beigi","year":"2013","unstructured":"Beigi, S., Sandwiched R\u00e9nyi Divergence Satisfies Data Processing Inequality, J. Math. Phys., 2013, vol. 54, no. 12, p. 122202.","journal-title":"J. Math. Phys."},{"issue":"1","key":"4316_CR25","first-page":"179","volume":"17","author":"M. Ohya","year":"1997","unstructured":"Ohya, M., Petz, D., and Watanabe, N., On Capacities of Quantum Channels, Probab. Math. Statist., 1997, vol. 17, no. 1, pp. 179\u2013196.","journal-title":"Probab. Math. Statist."},{"issue":"2","key":"4316_CR26","doi-asserted-by":"publisher","first-page":"022308","DOI":"10.1103\/PhysRevA.63.022308","volume":"63","author":"B. Schumacher","year":"2001","unstructured":"Schumacher, B. and Westmoreland, M.D., Optimal Signal Ensembles, Phys. Rev. A, 2001, vol. 63, no. 2, p. 022308.","journal-title":"Phys. Rev. A"},{"key":"4316_CR27","first-page":"265","volume-title":"Quantum Computation and Information (Proc. AMS Special Session, Jan. 19\u201321, 2000, Washington, DC)","author":"B. Schumacher","year":"2002","unstructured":"Schumacher, B. and Westmoreland, M.D., Relative Entropy in Quantum Information Theory, Quantum Computation and Information (Proc. AMS Special Session, Jan. 19\u201321, 2000, Washington, DC), Lomonaco, S.J., Jr. and Brandt, H.E., Eds., Providence, RI: Amer. Math. Soc., 2002, pp. 265\u2013290."},{"issue":"2","key":"4316_CR28","doi-asserted-by":"publisher","first-page":"113","DOI":"10.4213\/rm1709","volume":"61","author":"A.S. Holevo","year":"2006","unstructured":"Holevo, A.S., Multiplicativity of p-Norms of Completely Positive Maps and the Additivity Problem in Quantum Information Theory, Uspekhi Mat. Nauk, 2006, vol. 61, no. 2 (368), pp. 113\u2013152 [Russian Math. Surveys (Engl. Transl.), 2006, vol. 61, no. 2, pp. 301\u2013339].","journal-title":"Uspekhi Mat. Nauk"},{"issue":"1","key":"4316_CR29","doi-asserted-by":"publisher","first-page":"171","DOI":"10.2140\/pjm.1958.8.171","volume":"8","author":"M. Sion","year":"1958","unstructured":"Sion, M., On General Minimax Theorems, Pacific J. Math., 1958, vol. 8, no. 1, pp. 171\u2013176.","journal-title":"Pacific J. Math."},{"issue":"4","key":"4316_CR30","doi-asserted-by":"publisher","first-page":"1436","DOI":"10.1016\/j.laa.2008.09.040","volume":"430","author":"K.M.R. Audenaert","year":"2009","unstructured":"Audenaert, K.M.R., A Note on the p \u2192 q Norms of 2-PositiveMaps, Linear Algebra Appl., 2009, vol. 430, no. 4, pp. 1436\u20131440.","journal-title":"Linear Algebra Appl."},{"issue":"15","key":"4316_CR31","doi-asserted-by":"publisher","first-page":"150502","DOI":"10.1103\/PhysRevLett.96.150502","volume":"96","author":"C.H. Bennett","year":"2006","unstructured":"Bennett, C.H., Devetak, I., Shor, P.W., and Smolin, J.A., Inequalities and Separations among Assisted Capacities of Quantum Channels, Phys. Rev. Lett., 2006, vol. 96, no. 15, p. 150502.","journal-title":"Phys. Rev. Lett."},{"issue":"12","key":"4316_CR32","doi-asserted-by":"publisher","first-page":"120503","DOI":"10.1103\/PhysRevLett.103.120503","volume":"103","author":"G. Smith","year":"2009","unstructured":"Smith, G. and Smolin, J.A., Extensive Nonadditivity of Privacy, Phys. Rev. Lett., 2009, vol. 103, no. 12, p. 120503.","journal-title":"Phys. Rev. Lett."},{"issue":"4","key":"4316_CR33","doi-asserted-by":"publisher","first-page":"042319","DOI":"10.1103\/PhysRevA.86.042319","volume":"86","author":"J.K. Korbicz","year":"2012","unstructured":"Korbicz, J.K., Horodecki, P., and Horodecki, R., Quantum-Correlation Breaking Channels, Broadcasting Scenarios, and Finite Markov Chains, Phys. Rev. A, 2012, vol. 86, no. 4, p. 042319.","journal-title":"Phys. Rev. A"},{"key":"4316_CR34","doi-asserted-by":"crossref","unstructured":"Polyanskiy, Y. and Verd\u00fa, S., Arimoto Channel Coding Converse and R\u00e9nyi Divergence, in Proc. 48th Annual Allerton Conf. on Communication, Control, and Computation, Sept. 29\u2013Oct. 1, 2010, Allerton, IL, USA, pp. 1327\u20131333.","DOI":"10.1109\/ALLERTON.2010.5707067"},{"issue":"1","key":"4316_CR35","doi-asserted-by":"publisher","first-page":"373","DOI":"10.1007\/s00220-017-2928-4","volume":"355","author":"M. Mosonyi","year":"2017","unstructured":"Mosonyi, M. and Ogawa, T., Strong Converse Exponent for Classical-Quantum Channel Coding, Comm. Math. Phys., 2017, vol. 355, no. 1, pp. 373\u2013426.","journal-title":"Comm. Math. Phys."},{"key":"4316_CR36","volume-title":"Noisy Channels","author":"U. Augustin","year":"1978","unstructured":"Augustin, U., Noisy Channels, Habilitation Thesis, Univ. Erlangen-N\u00fcrnberg, Germany, 1978."},{"issue":"1","key":"4316_CR37","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1109\/TIT.1979.1056003","volume":"25","author":"G. Dueck","year":"1979","unstructured":"Dueck, G. and K\u00f6rner, J., Reliability Function of a Discrete Memoryless Channel at Rates above Capacity, IEEE Trans. Inform. Theory, 1979, vol. 25, no. 1, pp. 82\u201385.","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"1","key":"4316_CR38","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1109\/TIT.1982.1056444","volume":"28","author":"I. Csisz\u00e1r","year":"1982","unstructured":"Csisz\u00e1r, I. and K\u00f6rner, J., Feedback Does Not Affect the Reliability Function of a DMC at Rates above Capacity, IEEE Trans. Inform. Theory, 1982, vol. 28, no. 1, pp. 92\u201393.","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"6","key":"4316_CR39","doi-asserted-by":"publisher","first-page":"062312","DOI":"10.1103\/PhysRevA.81.062312","volume":"81","author":"K. Br\u00e1dler","year":"2010","unstructured":"Br\u00e1dler, K., Hayden, P., Touchette, D., and Wilde, M.M., Trade-off Capacities of the Quantum Hadamard Channels, Phys. Rev. A, 2010, vol. 81, no. 6, p. 062312.","journal-title":"Phys. Rev. A"},{"key":"4316_CR40","doi-asserted-by":"publisher","DOI":"10.1017\/9781316809976","volume-title":"Quantum Information Theory","author":"M.M. Wilde","year":"2017","unstructured":"Wilde, M.M., Quantum Information Theory, Cambridge: Cambridge Univ. Press, 2017, 2nd ed."},{"issue":"4","key":"4316_CR41","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1007\/BF01646490","volume":"31","author":"M. Fannes","year":"1973","unstructured":"Fannes, M., A Continuity Property of the Entropy Density for Spin Lattice Systems, Comm. Math. Phys., 1973, vol. 31, no. 4, pp. 291\u2013294.","journal-title":"Comm. Math. Phys."},{"issue":"28","key":"4316_CR42","doi-asserted-by":"publisher","first-page":"8127","DOI":"10.1088\/1751-8113\/40\/28\/S18","volume":"40","author":"K.M.R. Audenaert","year":"2007","unstructured":"Audenaert, K.M.R., A Sharp Continuity Estimate for the von Neumann Entropy, J. Phys. A, 2007, vol. 40, no. 28, pp. 8127\u20138136.","journal-title":"J. Phys. A"},{"issue":"1","key":"4316_CR43","doi-asserted-by":"publisher","first-page":"715","DOI":"10.1109\/TIT.2016.2615847","volume":"63","author":"M. Tomamichel","year":"2017","unstructured":"Tomamichel, M., Wilde, M.M., and Winter, A., Strong Converse Rates for Quantum Communication, IEEE Trans. Inform. Theory, 2017, vol. 63, no. 1, pp. 715\u2013727.","journal-title":"IEEE Trans. Inform. Theory"}],"container-title":["Problems of Information Transmission"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0032946018010015","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0032946018010015.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0032946018010015.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T02:34:38Z","timestamp":1775010878000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0032946018010015"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1]]},"references-count":43,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["4316"],"URL":"https:\/\/doi.org\/10.1134\/s0032946018010015","relation":{},"ISSN":["0032-9460","1608-3253"],"issn-type":[{"value":"0032-9460","type":"print"},{"value":"1608-3253","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1]]},"assertion":[{"value":"7 July 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 October 2017","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 April 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}