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A central bottleneck in these workloads is Gaussian sampling. In Falcon class signatures, sampling accounts for about 25% of operations and about 65% of signing time. In diffusion inference, repeated Gaussian injection across denoising steps makes edge deployment costly. Here we show that probabilistic Ising machines provide a hardware native route to random Gaussian distributions with both tunable variance and sampling density with two independent parameters. We compare fully digital field\u2010programmable gate array (FPGA) and FPGA\u2010spintronic implementations with software implementation. At matched sampling precision, the proposed FPGA sampler reduces the dynamic power and logic utilization of the Gaussian\u2010sampling core by approximately 4.0\u2010fold and 4.4\u2010fold, respectively, relative to the isolated Falcon core. A projected ASIC implementation in 28\u00a0nm CMOS is estimated to consume approximately 8\u00a0mW. Image generation quality quantified with well\u2010established metrics is preserved in an open\u2010source diffusion pipeline. These results establish probabilistic Ising machines as an efficient and scalable platform for Gaussian sampling in post quantum cryptography, edge generative inference and semantic communication.<\/jats:p>","DOI":"10.1002\/advs.78214","type":"journal-article","created":{"date-parts":[[2026,10,12]],"date-time":"2026-10-12T03:48:48Z","timestamp":1791776928000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Hardware\u2010Native Gaussian Sampling With Probabilistic Ising Machines for Modern Communication Paradigms"],"prefix":"10.1002","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6301-4974","authenticated-orcid":false,"given":"Davi","family":"Rodrigues","sequence":"first","affiliation":[{"name":"Department of Electrical and Information Engineering Politecnico di Bari  Bari Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8052-0764","authenticated-orcid":false,"given":"Andrea","family":"Grimaldi","sequence":"additional","affiliation":[{"name":"Department of Electrical and Information Engineering Politecnico di Bari  Bari Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3364-1114","authenticated-orcid":false,"given":"Deborah","family":"Volpe","sequence":"additional","affiliation":[{"name":"Istituto Nazionale di Geofisica e Vulcanologia  Rome Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Youwei","family":"Bao","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering National University of Singapore  Singapore Singapore"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shuhan","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering National University of Singapore  Singapore Singapore"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4626-4506","authenticated-orcid":false,"given":"Eleonora","family":"Grassucci","sequence":"additional","affiliation":[{"name":"Department of Information Engineering Electronics and Telecommunications Sapienza University of Rome  Rome Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Giulio","family":"Siracusano","sequence":"additional","affiliation":[{"name":"Department of Mathematical and Computer Sciences Physical Sciences and Earth Sciences University of Messina  Messina Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7433-9435","authenticated-orcid":false,"given":"Massimo","family":"Chiappini","sequence":"additional","affiliation":[{"name":"Istituto Nazionale di Geofisica e Vulcanologia  Rome Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5165-5873","authenticated-orcid":false,"given":"Mario","family":"Carpentieri","sequence":"additional","affiliation":[{"name":"Department of Electrical and Information Engineering Politecnico di Bari  Bari Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0907-2898","authenticated-orcid":false,"given":"Hyunsoo","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering National University of Singapore  Singapore Singapore"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1043-3876","authenticated-orcid":false,"given":"Giovanni","family":"Finocchio","sequence":"additional","affiliation":[{"name":"Department of Mathematical and Computer Sciences Physical Sciences and Earth Sciences University of Messina  Messina Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2026,10,11]]},"reference":[{"key":"e_1_2_12_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/MWC.101.2100269"},{"key":"e_1_2_12_3_1","doi-asserted-by":"crossref","unstructured":"M. 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