{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T15:02:07Z","timestamp":1778338927576,"version":"3.51.4"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"7298","license":[{"start":{"date-parts":[[2010,6,1]],"date-time":"2010-06-01T00:00:00Z","timestamp":1275350400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Nature"],"published-print":{"date-parts":[[2010,6]]},"DOI":"10.1038\/nature09071","type":"journal-article","created":{"date-parts":[[2010,6,1]],"date-time":"2010-06-01T13:07:02Z","timestamp":1275397622000},"page":"590-593","source":"Crossref","is-referenced-by-count":666,"title":["Quantum simulation of frustrated Ising spins with trapped ions"],"prefix":"10.1038","volume":"465","author":[{"given":"K.","family":"Kim","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.-S.","family":"Chang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Korenblit","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Islam","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E. E.","family":"Edwards","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. K.","family":"Freericks","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G.-D.","family":"Lin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"L.-M.","family":"Duan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C.","family":"Monroe","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BFnature09071_CR1","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1017\/CBO9780511815478","volume-title":"Social Network Analysis: Methods and Applications","author":"S Wasserman","year":"1994","unstructured":"Wasserman, S. & Faus, K. Social Network Analysis: Methods and Applications 98\u2013116 (Cambridge Univ. Press, 1994)"},{"key":"BFnature09071_CR2","doi-asserted-by":"publisher","first-page":"1275","DOI":"10.1103\/RevModPhys.80.1275","volume":"80","author":"SN Dorogovtsev","year":"2008","unstructured":"Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. Critical phenomena in complex networks. Rev. Mod. Phys. 80, 1275\u20131335 (2008)","journal-title":"Rev. Mod. Phys."},{"key":"BFnature09071_CR3","doi-asserted-by":"publisher","first-page":"7524","DOI":"10.1073\/pnas.84.21.7524","volume":"84","author":"JD Bryngelson","year":"1987","unstructured":"Bryngelson, J. D. & Wolynes, P. G. Spin glasses and the statistical mechanics of protein folding. Proc. Natl Acad. Sci. USA 84, 7524\u20137528 (1987)","journal-title":"Proc. Natl Acad. Sci. USA"},{"key":"BFnature09071_CR4","doi-asserted-by":"publisher","DOI":"10.1142\/5697","volume-title":"Frustrated Spin Systems","author":"HT Diep","year":"2005","unstructured":"Diep, H. T. Frustrated Spin Systems (World Scientific, 2005)"},{"key":"BFnature09071_CR5","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1063\/1.2186278","volume":"59","author":"R Moessner","year":"2006","unstructured":"Moessner, R. & Ramirez, A. P. Geometrical frustration. Phys. Today 59, 24\u201329 (2006)","journal-title":"Phys. Today"},{"key":"BFnature09071_CR6","doi-asserted-by":"publisher","first-page":"801","DOI":"10.1103\/RevModPhys.58.801","volume":"58","author":"K Binder","year":"1986","unstructured":"Binder, K. & Young, A. P. Spin glasses: experimental facts, theoretical concepts, and open questions. Rev. Mod. Phys. 58, 801\u2013976 (1986)","journal-title":"Rev. Mod. Phys."},{"key":"BFnature09071_CR7","volume-title":"Quantum Phase Transitions","author":"S Sachdev","year":"1999","unstructured":"Sachdev, S. Quantum Phase Transitions (Cambridge Univ. Press, 1999)"},{"key":"BFnature09071_CR8","doi-asserted-by":"publisher","first-page":"052316","DOI":"10.1103\/PhysRevA.69.052316","volume":"69","author":"CM Dawson","year":"2004","unstructured":"Dawson, C. M. & Nielsen, M. A. Frustration, interaction strength, and ground-state entanglement in complex quantum systems. Phys. Rev. A 69, 052316 (2004)","journal-title":"Phys. Rev. A"},{"key":"BFnature09071_CR9","doi-asserted-by":"publisher","first-page":"094427","DOI":"10.1103\/PhysRevB.78.094427","volume":"78","author":"B Normand","year":"2008","unstructured":"Normand, B. & Oles, A. M. Frustration and entanglement in the t2g spin-orbital model on a triangular lattice: valence-bond and generalized liquid states. Phys. Rev. B 78, 094427 (2008)","journal-title":"Phys. Rev. B"},{"key":"BFnature09071_CR10","doi-asserted-by":"publisher","first-page":"207901","DOI":"10.1103\/PhysRevLett.92.207901","volume":"92","author":"D Porras","year":"2004","unstructured":"Porras, D. & Cirac, J. I. Effective quantum spin systems with trapped ions. Phys. Rev. Lett. 92, 207901 (2004)","journal-title":"Phys. Rev. Lett."},{"key":"BFnature09071_CR11","doi-asserted-by":"publisher","first-page":"063407","DOI":"10.1103\/PhysRevA.72.063407","volume":"72","author":"X-L Deng","year":"2005","unstructured":"Deng, X.-L., Porras, D. & Cirac, J. I. Effective spin quantum phases in systems of trapped ions. Phys. Rev. A 72, 063407 (2005)","journal-title":"Phys. Rev. A"},{"key":"BFnature09071_CR12","doi-asserted-by":"publisher","first-page":"757","DOI":"10.1038\/nphys1032","volume":"4","author":"A Friedenauer","year":"2008","unstructured":"Friedenauer, A., Schmitz, H., Glueckert, J. T., Porras, D. & Schaetz, T. Simulating a quantum magnet with trapped ions. Nature Phys. 4, 757\u2013761 (2008)","journal-title":"Nature Phys."},{"key":"BFnature09071_CR13","doi-asserted-by":"publisher","first-page":"120502","DOI":"10.1103\/PhysRevLett.103.120502","volume":"103","author":"K Kim","year":"2009","unstructured":"Kim, K. et al. Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes. Phys. Rev. Lett. 103, 120502 (2009)","journal-title":"Phys. Rev. Lett."},{"key":"BFnature09071_CR14","first-page":"464","volume-title":"The Nature of the Chemical Bond","author":"LC Pauling","year":"1945","unstructured":"Pauling, L. C. The Nature of the Chemical Bond 464\u2013472 (Cornell Univ. Press, 1945)"},{"key":"BFnature09071_CR15","doi-asserted-by":"publisher","first-page":"1495","DOI":"10.1126\/science.1064761","volume":"294","author":"ST Bramwell","year":"2001","unstructured":"Bramwell, S. T. & Gingras, M. J. P. Spin ice state in frustrated magnetic pyrochlore materials. Science 294, 1495\u20131501 (2001)","journal-title":"Science"},{"key":"BFnature09071_CR16","doi-asserted-by":"publisher","first-page":"913","DOI":"10.1103\/RevModPhys.75.913","volume":"75","author":"S Sachdev","year":"2003","unstructured":"Sachdev, S. Order and quantum phase transitions in the cuprate superconductors. Rev. Mod. Phys. 75, 913\u2013932 (2003)","journal-title":"Rev. Mod. Phys."},{"key":"BFnature09071_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.physrep.2009.02.004","volume":"474","author":"O G\u00fchne","year":"2009","unstructured":"G\u00fchne, O. & Toth, G. Entanglement detection. Phys. Rep. 474, 1\u201375 (2009)","journal-title":"Phys. Rep."},{"key":"BFnature09071_CR18","doi-asserted-by":"publisher","first-page":"052314","DOI":"10.1103\/PhysRevA.76.052314","volume":"76","author":"S Olmschenk","year":"2007","unstructured":"Olmschenk, S. et al. Manipulation and detection of a trapped Yb+ hyperfine qubit. Phys. Rev. A 76, 052314 (2007)","journal-title":"Phys. Rev. A"},{"key":"BFnature09071_CR19","doi-asserted-by":"publisher","first-page":"1835","DOI":"10.1103\/PhysRevLett.82.1835","volume":"82","author":"K M\u00f8lmer","year":"1999","unstructured":"M\u00f8lmer, K. & S\u00f8rensen, A. Multiparticle entanglement of hot trapped ions. Phys. Rev. Lett. 82, 1835\u20131838 (1999)","journal-title":"Phys. Rev. Lett."},{"key":"BFnature09071_CR20","doi-asserted-by":"publisher","first-page":"801","DOI":"10.1002\/1521-3978(200009)48:9\/11<801::AID-PROP801>3.0.CO;2-1","volume":"48","author":"GJ Milburn","year":"2000","unstructured":"Milburn, G. J., Schneider, S. & James, D. F. V. Ion trap quantum computing with warm ions. Fortschr. Phys. 48, 801\u2013810 (2000)","journal-title":"Fortschr. Phys."},{"key":"BFnature09071_CR21","first-page":"820","volume":"22","author":"VG Vaks","year":"1966","unstructured":"Vaks, V. G., Larkin, A. I. & Ovchinnikov, Y. N. Ising model with interaction between non-nearest neighbors. Sov. Phys. JETP 22, 820\u2013826 (1966)","journal-title":"Sov. Phys. JETP"},{"key":"BFnature09071_CR22","doi-asserted-by":"publisher","first-page":"050505","DOI":"10.1103\/PhysRevLett.97.050505","volume":"97","author":"S-L Zhu","year":"2006","unstructured":"Zhu, S.-L., Monroe, C. & Duan, L.-M. Trapped ion quantum computation with transverse phonon modes. Phys. Rev. Lett. 97, 050505 (2006)","journal-title":"Phys. Rev. Lett."},{"key":"BFnature09071_CR23","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1103\/RevModPhys.75.281","volume":"75","author":"D Liebfried","year":"2003","unstructured":"Liebfried, D., Blatt, R., Monroe, C. & Wineland, D. Quantum dynamics of single trapped ions. Rev. Mod. Phys. 75, 281\u2013324 (2003)","journal-title":"Rev. Mod. Phys."},{"key":"BFnature09071_CR24","doi-asserted-by":"publisher","first-page":"256","DOI":"10.1038\/35005011","volume":"404","author":"CA Sackett","year":"2000","unstructured":"Sackett, C. A. et al. Entangled states of trapped atomic ions. Nature 404, 256\u2013259 (2000)","journal-title":"Nature"},{"key":"BFnature09071_CR25","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1007\/s00340-009-3455-6","volume":"95","author":"H Schmitz","year":"2009","unstructured":"Schmitz, H. et al. The \u201carch\u201d of simulating quantum spin systems with trapped ions. Appl. Phys. B 95, 195\u2013203 (2009)","journal-title":"Appl. Phys. B"},{"key":"BFnature09071_CR26","doi-asserted-by":"publisher","first-page":"150404","DOI":"10.1103\/PhysRevLett.98.150404","volume":"98","author":"Y-J Han","year":"2007","unstructured":"Han, Y.-J., Raussendorf, R. & Duan, L.-M. Scheme for demonstration of fractional statistics of anyons in an exactly solvable model. Phys. Rev. Lett. 98, 150404 (2007)","journal-title":"Phys. Rev. Lett."},{"key":"BFnature09071_CR27","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1016\/S0003-4916(02)00018-0","volume":"303","author":"A Kitaev","year":"2003","unstructured":"Kitaev, A. Fault-tolerant quantum computation by anyons. Ann. Phys. 303, 2\u201330 (2003)","journal-title":"Ann. Phys."},{"key":"BFnature09071_CR28","doi-asserted-by":"publisher","first-page":"1083","DOI":"10.1103\/RevModPhys.80.1083","volume":"80","author":"C Nayak","year":"2008","unstructured":"Nayak, C., Simon, S. H., Stern, A., Freedman, M. & Sarma, S. D. Non-Abelian anyons and topological quantum computation. Rev. Mod. Phys. 80, 1083\u20131159 (2008)","journal-title":"Rev. Mod. Phys."},{"key":"BFnature09071_CR29","doi-asserted-by":"publisher","first-page":"S371","DOI":"10.1088\/1464-4266\/7\/10\/025","volume":"7","author":"PJ Lee","year":"2005","unstructured":"Lee, P. J. et al. Phase control of trapped ion quantum gates. J. Opt. B 7, S371\u2013S383 (2005)","journal-title":"J. Opt. B"}],"container-title":["Nature"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.nature.com\/articles\/nature09071.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/www.nature.com\/articles\/nature09071","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/www.nature.com\/articles\/nature09071.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,18]],"date-time":"2023-05-18T18:33:52Z","timestamp":1684434832000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.nature.com\/articles\/nature09071"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6]]},"references-count":29,"journal-issue":{"issue":"7298","published-print":{"date-parts":[[2010,6]]}},"alternative-id":["BFnature09071"],"URL":"https:\/\/doi.org\/10.1038\/nature09071","relation":{},"ISSN":["0028-0836","1476-4687"],"issn-type":[{"value":"0028-0836","type":"print"},{"value":"1476-4687","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6]]}}}