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The dynamic and long-range connectivity enabled by shuttling is also essential for many quantum error-correction schemes\n                    <jats:sup>8\u201310<\/jats:sup>\n                    . Here we demonstrate a silicon spin-qubit device comprising a shuttling bus for coherently transporting qubits that can interact at four isolated locations that we call bus stops. We dynamically populate the array and tune all single- and two-qubit operations using shuttling and quantum non-demolition spin measurements, without access to charge sensing in most of the device. We achieve universal control of the effective five-qubit processor and select the connectivity required to form a surface-code stabilizer plaquette that supports\n                    <jats:italic>X<\/jats:italic>\n                    - and\n                    <jats:italic>Z<\/jats:italic>\n                    -type parity checks up to weight four. We use the parity checks to generate multi-qubit entanglement between all qubit combinations in the array and report the genuine entanglement of a five-qubit Greenberger\u2013Horne\u2013Zeilinger state, constituting one of the largest such states constructed with gate-defined semiconductor spins. The protocols developed here lay the groundwork for modular calibration and operation of sparse spin-qubit arrays, and we highlight the feasibility of near-term quantum error-correction experiments with mobile spin qubits.\n                  <\/jats:p>","DOI":"10.1038\/s41586-026-10766-3","type":"journal-article","created":{"date-parts":[[2026,7,29]],"date-time":"2026-07-29T15:02:20Z","timestamp":1785337340000},"page":"1160-1166","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Weight-four parity checks in a spin-shuttling architecture"],"prefix":"10.1038","volume":"655","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4445-9027","authenticated-orcid":false,"given":"Brennan","family":"Undseth","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nicola","family":"Meggiato","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-4137-989X","authenticated-orcid":false,"given":"Yi-Hsien","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sam R.","family":"Katiraee-Far","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Larysa","family":"Tryputen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4525-4023","authenticated-orcid":false,"given":"Sander L.","family":"de Snoo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Davide","family":"Degli Esposti","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2512-0079","authenticated-orcid":false,"given":"Giordano","family":"Scappucci","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Eli\u0161ka","family":"Greplov\u00e1","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4346-7877","authenticated-orcid":false,"given":"Lieven M. 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