{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T11:14:49Z","timestamp":1774437289003,"version":"3.50.1"},"reference-count":0,"publisher":"Rinton Press","issue":"15&16","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["QIC"],"published-print":{"date-parts":[[2016,11]]},"abstract":"<jats:p>We analyze the properties of a 2D topological code derived by concatenating the J4, 2, 2K code with the toric\/surface code, or alternatively by removing check operators from the 2D square-octagon or 4.8.8 color code. We show that the resulting code has a circuit-based noise threshold of ~ 0.41% (compared to ~ 0.6% for the toric code in a similar scenario), which is higher than any known 2D color code. We believe that the construction may be of interest for hardware in which one wants to use both long-range two-qubit gates as well as short-range gates between small clusters of qubits.<\/jats:p>","DOI":"10.26421\/qic16.15-16-1","type":"journal-article","created":{"date-parts":[[2021,2,25]],"date-time":"2021-02-25T02:02:10Z","timestamp":1614218530000},"page":"1261-1281","source":"Crossref","is-referenced-by-count":16,"title":["Noise thresholds for the [4,2,2]-concatenated toric code"],"prefix":"10.26421","volume":"16","author":[{"given":"Ben","family":"Criger","sequence":"first","affiliation":[]},{"given":"Barbara","family":"Terhal","sequence":"additional","affiliation":[]}],"member":"10955","published-online":{"date-parts":[[2016,11]]},"container-title":["Quantum Information and Computation"],"original-title":[],"deposited":{"date-parts":[[2021,2,25]],"date-time":"2021-02-25T02:02:11Z","timestamp":1614218531000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.rintonpress.com\/journals\/doi\/QIC16.15-16-1.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11]]},"references-count":0,"journal-issue":{"issue":"15&16","published-online":{"date-parts":[[2016,11]]},"published-print":{"date-parts":[[2016,11]]}},"URL":"https:\/\/doi.org\/10.26421\/qic16.15-16-1","relation":{},"ISSN":["1533-7146","1533-7146"],"issn-type":[{"value":"1533-7146","type":"print"},{"value":"1533-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,11]]}}}