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We analyse the behaviour of the method under the depolarizing channel and derive an estimator for the depolarization rate in terms of the ancilla purity and postselection probability. We also highlight the sensitivity of this probability to noise, a potential bottleneck for the technique. We subsequently consider a more general noise channel consisting of arbitrary Pauli errors, which reveals a linear relationship between the error rates and the estimation of expectation values, suggesting the learnability of noise in EV by regression techniques. Finally, we present a practical demonstration of Echo Verified Clifford Data Regression (EVCDR) on a superconducting quantum computer and observe accurate results for the time evolution of an Ising model over spin-lattices consisting of up to 35 sites and circuit depths up to 173 entangling layers.<\/jats:p>","DOI":"10.22331\/q-2025-05-05-1732","type":"journal-article","created":{"date-parts":[[2025,5,5]],"date-time":"2025-05-05T12:04:29Z","timestamp":1746446669000},"page":"1732","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["Accurately Simulating the Time Evolution of an Ising Model with Echo Verified Clifford Data Regression on a Superconducting Quantum Computer"],"prefix":"10.22331","volume":"9","author":[{"given":"Tim","family":"Weaving","sequence":"first","affiliation":[{"name":"Centre for Computational Science, Department of Chemistry, University College London, WC1H 0AJ, United Kingdom"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexis","family":"Ralli","sequence":"additional","affiliation":[{"name":"Centre for Computational Science, Department of Chemistry, University College London, WC1H 0AJ, United Kingdom"},{"name":"Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter J.","family":"Love","sequence":"additional","affiliation":[{"name":"Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USA"},{"name":"Computational Science Initiative, Brookhaven National Laboratory, Upton, NY 11973, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sauro","family":"Succi","sequence":"additional","affiliation":[{"name":"Center for Life Nano-Neuro Science @ La Sapienza, Italian Institute of Technology, 00161 Roma, Italy"},{"name":"Department of Mechanical Engineering, University College London, WC1E 7JE, United Kingdom"},{"name":"Department of Physics, Harvard University, Cambridge, MA 02138, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter V.","family":"Coveney","sequence":"additional","affiliation":[{"name":"Centre for Computational Science, Department of Chemistry, University College London, WC1H 0AJ, United Kingdom"},{"name":"Advanced Research Computing Centre, University College London, WC1H 0AJ, United Kingdom"},{"name":"Informatics Institute, University of Amsterdam, Amsterdam, 1098 XH, Netherlands"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2025,5,5]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"S. 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