{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T11:56:06Z","timestamp":1743076566955,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":19,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540899938"},{"type":"electronic","value":"9783540899945"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-3-540-89994-5_8","type":"book-chapter","created":{"date-parts":[[2008,12,8]],"date-time":"2008-12-08T00:41:38Z","timestamp":1228696898000},"page":"89-104","source":"Crossref","is-referenced-by-count":9,"title":["Computing Equiangular Lines in Complex Space"],"prefix":"10.1007","author":[{"given":"Markus","family":"Grassl","sequence":"first","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]}],"member":"297","reference":[{"key":"8_CR1","doi-asserted-by":"publisher","first-page":"52107","DOI":"10.1063\/1.1896384","volume":"46","author":"D.M. Appleby","year":"2005","unstructured":"Appleby, D.M.: SIC-POVMs and the Extended Clifford Group. Journal of Mathematical Physics\u00a046, 052107 (2005); Preprint quant-ph\/0412001","journal-title":"Journal of Mathematical Physics"},{"issue":"4","key":"8_CR2","doi-asserted-by":"publisher","first-page":"403","DOI":"10.1016\/S0747-7171(02)00140-2","volume":"35","author":"E.A. Arnold","year":"2003","unstructured":"Arnold, E.A.: Modular Algorithms for Computing Gr\u00f6bner Bases. Journal of Symbolic Computation\u00a035(4), 403\u2013419 (2003)","journal-title":"Journal of Symbolic Computation"},{"issue":"3\u20134","key":"8_CR3","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1006\/jsco.1996.0125","volume":"24","author":"W. Bosma","year":"1997","unstructured":"Bosma, W., Cannon, J.J., Playoust, C.: The Magma Algebra System I: The User Language. Journal of Symbolic Computation\u00a024(3\u20134), 235\u2013266 (1997)","journal-title":"Journal of Symbolic Computation"},{"issue":"3","key":"8_CR4","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1145\/1088216.1088219","volume":"10","author":"B. Buchberger","year":"1976","unstructured":"Buchberger, B.: A Theoretical Basis for the Reduction of Polynomials to Canonical Forms. ACM SIGSAM Bulletin\u00a010(3), 19\u201329 (1976)","journal-title":"ACM SIGSAM Bulletin"},{"key":"8_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2181-2","volume-title":"Ideals, Varieties, and Algorithms","author":"D.A. Cox","year":"1992","unstructured":"Cox, D.A., Little, J.B., O\u2019Shea, D.: Ideals, Varieties, and Algorithms. Springer, New York (1992)"},{"issue":"1\u20133","key":"8_CR6","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/S0022-4049(99)00005-5","volume":"139","author":"J.C. Faug\u00e8re","year":"1999","unstructured":"Faug\u00e8re, J.C.: A New Efficient Algorithm for Computing Gr\u00f6bner Bases (F4). Journal of Pure and Applied Algebra\u00a0139(1\u20133), 61\u201388 (1999)","journal-title":"Journal of Pure and Applied Algebra"},{"issue":"4","key":"8_CR7","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1006\/jsco.1993.1051","volume":"16","author":"J.C. Faug\u00e8re","year":"1993","unstructured":"Faug\u00e8re, J.C., Gianni, P., Lazard, D., Mora, T.: Efficient Computations of Zero-dimensional Gr\u00f6bner Bases by Change of Ordering. Journal of Symbolic Computation\u00a016(4), 329\u2013344 (1993)","journal-title":"Journal of Symbolic Computation"},{"issue":"43","key":"8_CR8","doi-asserted-by":"publisher","first-page":"13483","DOI":"10.1088\/0305-4470\/39\/43\/007","volume":"39","author":"S.T. Flammia","year":"2006","unstructured":"Flammia, S.T.: On SIC-POVMs in Prime Dimensions. Journal of Physics A\u00a039(43), 13483\u201313493 (2006); Preprint quant-ph\/0605050","journal-title":"Journal of Physics A"},{"issue":"12","key":"8_CR9","doi-asserted-by":"publisher","first-page":"1985","DOI":"10.1007\/s10701-005-8658-z","volume":"35","author":"S.T. Flammia","year":"2005","unstructured":"Flammia, S.T., Silberfarb, A., Caves, C.M.: Minimal Informationally Complete Measurements for Pure States. Foundations of Physics\u00a035(12), 1985\u20132006 (2005); Preprint quant-ph\/0404137","journal-title":"Foundations of Physics"},{"key":"#cr-split#-8_CR10.1","unstructured":"Grassl, M.: On SIC-POVMs and MUBs in Dimension 6. In: Proceedings ERATO Conference on Quantum Information Science 2004 (EQIS 2004), Tokyo, pp. 60???61 (September 2004);"},{"key":"#cr-split#-8_CR10.2","unstructured":"Preprint quant-ph\/0406175"},{"key":"8_CR11","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/j.endm.2005.05.060","volume":"20","author":"M. Grassl","year":"2005","unstructured":"Grassl, M.: Tomography of Quantum States in Small Dimensions. Electronic Notes in Discrete Mathematics\u00a020, 151\u2013164 (2005)","journal-title":"Electronic Notes in Discrete Mathematics"},{"key":"8_CR12","unstructured":"Grassl, M.: Finding Equiangular Lines in Complex Space. Talk at the MAGMA 2006 Conference, Technische Universit\u00e4t Berlin (July 2006)"},{"key":"8_CR13","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1016\/S0195-6698(82)80035-8","volume":"3","author":"S.G. Hoggar","year":"1982","unstructured":"Hoggar, S.G.: t-Designs in Projective Spaces. European Journal of Combinatorics\u00a03, 233\u2013254 (1982)","journal-title":"European Journal of Combinatorics"},{"issue":"3","key":"8_CR14","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1007\/s10801-007-0104-1","volume":"28","author":"M. Khatirinejad","year":"2007","unstructured":"Khatirinejad, M.: On Weyl-Heisenberg Orbits of Equiangular Lines. Journal of Algebraic Combinatorics\u00a028(3), 333\u2013349 (2007) (Published online November 6, 2007)","journal-title":"Journal of Algebraic Combinatorics"},{"issue":"3","key":"8_CR15","doi-asserted-by":"publisher","first-page":"494","DOI":"10.1016\/0021-8693(73)90123-3","volume":"24","author":"P.H.W. Lemmens","year":"1973","unstructured":"Lemmens, P.H.W., Seidel, J.J.: Equiangular Lines. Journal of Algebra\u00a024(3), 494\u2013512 (1973)","journal-title":"Journal of Algebra"},{"issue":"6","key":"8_CR16","doi-asserted-by":"publisher","first-page":"2171","DOI":"10.1063\/1.1737053","volume":"45","author":"J.M. Renes","year":"2004","unstructured":"Renes, J.M., Blume-Kohout, R., Scott, A.J., Caves, C.M.: Symmetric Informationally Complete Quantum Measurements. Journal of Mathematical Physics\u00a045(6), 2171\u20132180 (2004); Preprint quant-ph\/0310075","journal-title":"Journal of Mathematical Physics"},{"issue":"2","key":"8_CR17","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1145\/1089292.1089293","volume":"16","author":"P.S. Wang","year":"1982","unstructured":"Wang, P.S., Guy, M.J.T., Davenport, J.H.: P-adic Reconstruction of Rational Numbers. ACM SIGSAM Bulletin\u00a016(2), 2\u20133 (1982)","journal-title":"ACM SIGSAM Bulletin"},{"key":"8_CR18","unstructured":"Zauner, G.: Quantendesigns: Grundz\u00fcge einer nichtkommutativen Designtheorie. Dissertation, Universit\u00e4t Wien (1999)"}],"container-title":["Lecture Notes in Computer Science","Mathematical Methods in Computer Science"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-89994-5_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,4]],"date-time":"2019-03-04T03:35:54Z","timestamp":1551670554000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-89994-5_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9783540899938","9783540899945"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-89994-5_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2008]]}}}