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A rigorous measure to quantify correlations in quantum dynamics based on a full tomographic reconstruction of the quantum process has been introduced recently [\u00c1. Rivas et al., New Journal of Physics, 17(6) 062001 (2015).]. In this work, we derive a lower bound for this correlation measure, which does not require full knowledge of the quantum dynamics. Furthermore we also extend the correlation measure to multipartite systems. We directly apply the developed methods to a trapped ion quantum information processor to experimentally characterize the correlations in quantum dynamics for two- and four-qubit systems. The method proposed and demonstrated in this work is scalable, platform-independent and applicable to other composite quantum systems and quantum information processing architectures. We apply the method to estimate spatial correlations in environmental noise processes, which are crucial for the performance of quantum error correction procedures.<\/jats:p>","DOI":"10.22331\/q-2018-09-03-90","type":"journal-article","created":{"date-parts":[[2018,9,3]],"date-time":"2018-09-03T15:16:32Z","timestamp":1535987792000},"page":"90","source":"Crossref","is-referenced-by-count":17,"title":["Experimental quantification of spatial correlations in quantum dynamics"],"prefix":"10.22331","volume":"2","author":[{"given":"Lukas","family":"Postler","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Experimentalphysik, Universit\u00e4t Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"\u00c1ngel","family":"Rivas","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica Te\u00f3rica I, Universidad Complutense, 28040 Madrid, Spain"},{"name":"CCS-Center for Computational Simulation, Campus de Montegancedo UPM, 28660 Boadilla del Monte, Madrid, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Philipp","family":"Schindler","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Experimentalphysik, Universit\u00e4t Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Erhard","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Experimentalphysik, Universit\u00e4t Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Roman","family":"Stricker","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Experimentalphysik, Universit\u00e4t Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniel","family":"Nigg","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Experimentalphysik, Universit\u00e4t Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Monz","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Experimentalphysik, Universit\u00e4t Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rainer","family":"Blatt","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Experimentalphysik, Universit\u00e4t Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria"},{"name":"Institut f\u00fcr Quantenoptik und Quanteninformation, \u00d6sterreichische Akademie der Wissenschaften, Otto-Hittmair-Platz 1, A-6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Markus","family":"M\u00fcller","sequence":"additional","affiliation":[{"name":"Department of Physics, College of Science, Swansea University, Singleton Park, Swansea - SA2 8PP, United Kingdom"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2018,9,3]]},"reference":[{"key":"0","doi-asserted-by":"crossref","unstructured":"M. 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