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Yet, perhaps somewhat counterintuitively, entanglement assistance can help and actually elevate the chances of success even in a one-way communicational task that is to be completed by a single-shot use of a noiseless classical channel.To quantify the help that a non-signaling resource provides to a noiseless classical channel, one might ask how many extra letters should be added to the alphabet of the channel in order to perform equally well <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>w<\/mml:mi><mml:mi>i<\/mml:mi><mml:mi>t<\/mml:mi><mml:mi>h<\/mml:mi><mml:mi>o<\/mml:mi><mml:mi>u<\/mml:mi><mml:mi>t<\/mml:mi><\/mml:math> the specified non-signaling resource. As was observed by Cubitt, Leung, Matthews, and Winter, there is no upper bound on the number of extra letters required for substituting the assistance of a general non-signaling resource to a noiseless one-bit classical channel. In contrast, here we prove that if this resource is a bipartite quantum system in a maximally entangled state, then an extra classical bit always suffices as a replacement.<\/jats:p>","DOI":"10.22331\/q-2022-03-01-662","type":"journal-article","created":{"date-parts":[[2022,3,1]],"date-time":"2022-03-01T09:42:26Z","timestamp":1646127746000},"page":"662","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":12,"title":["On entanglement assistance to a noiseless classical channel"],"prefix":"10.22331","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2672-8772","authenticated-orcid":false,"given":"P\u00e9ter E.","family":"Frenkel","sequence":"first","affiliation":[{"name":"E\u00f6tv\u00f6s Lor\u00e1nd University, P\u00e1zm\u00e1ny P\u00e9ter s\u00e9t\u00e1ny 1\/C, Budapest, 1117 Hungary"},{"name":"R\u00e9nyi Institute, Budapest, Re\u00e1ltanoda u. 13-15, 1053 Hungary"}]},{"given":"Mih\u00e1ly","family":"Weiner","sequence":"additional","affiliation":[{"name":"Budapest University of Technology and Economics (BME), Department of Analysis, H-1111 Budapest M\u0171egyetem rkp. 3\u20139 Hungary"},{"name":"MTA-BME Lend\u00fclet Quantum Information Theory Research Group"}]}],"member":"9598","published-online":{"date-parts":[[2022,3,1]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"A. Ac\u00edn, T. Durt, N. Gisin and J. I. Latorre: Quantum nonlocality in two three-level systems. Phys. Rev. A 65 (2002), 052325. https:\/\/doi.org\/10.1103\/physreva.65.052325.","DOI":"10.1103\/physreva.65.052325"},{"key":"1","doi-asserted-by":"publisher","unstructured":"C. H. Bennett, P. W. Shor, J. A. Smolin and A. V. Thapliyal: Entanglement-Assisted Classical Capacity of Noisy Quantum Channels Phys. Rev. Lett. 83, (1999) 3081. https:\/\/doi.org\/10.1103\/PhysRevLett.83.3081.","DOI":"10.1103\/PhysRevLett.83.3081"},{"key":"2","doi-asserted-by":"publisher","unstructured":"C. H. Bennett and S. J. Wiesner: Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69 (1992), pg. 2881\u20132884. https:\/\/doi.org\/10.1103\/PhysRevLett.69.2881.","DOI":"10.1103\/PhysRevLett.69.2881"},{"key":"3","doi-asserted-by":"publisher","unstructured":"T. S. Cubitt, D. Leung, W. Matthews and A. Winter: Improving Zero-Error Classical Communication with Entanglement. Phys. Rev. Lett. 104 (2010), 230503. https:\/\/doi.org\/10.1103\/PhysRevLett.104.230503.","DOI":"10.1103\/PhysRevLett.104.230503"},{"key":"4","doi-asserted-by":"publisher","unstructured":"T. S. Cubitt, D. Leung, W. Matthews and A. Winter: Zero-Error Channel Capacity and Simulation Assisted by Non-Local Correlations. IEEE Trans. Inf. Theory 57 (2011), pg. 5509\u20135523. https:\/\/doi.org\/10.1109\/TIT.2011.2159047.","DOI":"10.1109\/TIT.2011.2159047"},{"key":"5","doi-asserted-by":"publisher","unstructured":"M. Dall&apos;Arno, S. Brandsen, A. Tosini, F. Buscemi and V. Vedral: No-hypersignaling principle. Phys. Rev. Lett. 119 (2017), 020401. https:\/\/doi.org\/10.1103\/PhysRevLett.119.020401.","DOI":"10.1103\/PhysRevLett.119.020401"},{"key":"6","unstructured":"P. E. Frenkel, Classical simulations of communication channels, arXiv: 2101.10985."},{"key":"7","doi-asserted-by":"publisher","unstructured":"P. E. 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