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This problem is relevant for long-distance communication in free space and optical fiber, where phase noise is typically considered as a limiting factor. The Holevo capacity of these channels is always attained with photon-number encodings, challenging with current technology. Hence for coherent-state encodings the optimal rate depends only on the total-energy distribution and we provide upper and lower bounds for all m<\/mml:mi><\/mml:math>, the latter attainable at low energies with on\/off modulation and photodetection. We generalize this lower bound to squeezed-coherent encodings, exhibiting for the first time to our knowledge an unconditional advantage with respect to any coherent encoding for m<\/mml:mi>=<\/mml:mo>1<\/mml:mn><\/mml:math> and a considerable advantage with respect to its direct coherent counterpart for m<\/mml:mi>><\/mml:mo>1<\/mml:mn><\/mml:math>. This advantage is robust with respect to moderate attenuation, and persists in a regime where Fock encodings with up to two-photon states are also suboptimal. Finally, we show that the use of part of the energy to establish a reference frame is sub-optimal even at large energies. Our results represent a key departure from the case of phase-covariant Gaussian channels and constitute a proof-of-principle of the advantages of using non-classical, squeezed light in a motivated communication setting.<\/jats:p>","DOI":"10.22331\/q-2021-12-23-608","type":"journal-article","created":{"date-parts":[[2021,12,23]],"date-time":"2021-12-23T12:13:17Z","timestamp":1640261597000},"page":"608","update-policy":"http:\/\/dx.doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":12,"title":["Squeezing-enhanced communication without a phase reference"],"prefix":"10.22331","volume":"5","author":[{"given":"Marco","family":"Fanizza","sequence":"first","affiliation":[{"name":"NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy"},{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics, Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra (Barcelona) Spain"}]},{"given":"Matteo","family":"Rosati","sequence":"additional","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics, Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra (Barcelona) Spain"}]},{"given":"Michalis","family":"Skotiniotis","sequence":"additional","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics, Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra (Barcelona) Spain"}]},{"given":"John","family":"Calsamiglia","sequence":"additional","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics, Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra (Barcelona) Spain"}]},{"given":"Vittorio","family":"Giovannetti","sequence":"additional","affiliation":[{"name":"NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy"}]}],"member":"9598","published-online":{"date-parts":[[2021,12,23]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"S. 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