{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T01:35:59Z","timestamp":1778549759142,"version":"3.51.4"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2010,3]]},"abstract":"<jats:p> We analyse stability of the four-dimensional Kitaev model \u2014 a candidate for scalable quantum memory \u2014 in finite temperature within the weak coupling Markovian limit. It is shown that, below a critical temperature, certain topological qubit observables X and Z possess relaxation times exponentially long in the size of the system. Their construction involves polynomial in system size algorithm which uses as an input the results of measurements performed on all individual spins. We also discuss the drawbacks of such candidate for quantum memory and mention the implications of the stability of qubit for statistical mechanics. <\/jats:p>","DOI":"10.1142\/s1230161210000023","type":"journal-article","created":{"date-parts":[[2010,3,3]],"date-time":"2010-03-03T04:31:10Z","timestamp":1267590670000},"page":"1-20","source":"Crossref","is-referenced-by-count":104,"title":["On Thermal Stability of Topological Qubit in Kitaev's 4D Model"],"prefix":"10.1142","volume":"17","author":[{"given":"R.","family":"Alicki","sequence":"first","affiliation":[{"name":"Institute of Theoretical Physics and Astrophysics, University of Gda\u0144sk, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Horodecki","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics and Astrophysics, University of Gda\u0144sk, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"Horodecki","sequence":"additional","affiliation":[{"name":"Faculty of Applied Physics and Mathematics, Gda\u0144sk University of Technology, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Horodecki","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics and Astrophysics, University of Gda\u0144sk, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,1,25]]},"reference":[{"key":"rf1","volume-title":"Quantum Computation and Quantum Information","author":"Nielsen M. 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