{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T15:12:23Z","timestamp":1648825943091},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2015,6,16]],"date-time":"2015-06-16T00:00:00Z","timestamp":1434412800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2015,9]]},"DOI":"10.1007\/s11128-015-1042-9","type":"journal-article","created":{"date-parts":[[2015,6,15]],"date-time":"2015-06-15T06:34:01Z","timestamp":1434350041000},"page":"3179-3191","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Moments of coinless quantum walks on lattices"],"prefix":"10.1007","volume":"14","author":[{"given":"Raqueline Azevedo Medeiros","family":"Santos","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Renato","family":"Portugal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefan","family":"Boettcher","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,6,16]]},"reference":[{"key":"1042_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4614-6336-8","volume-title":"Quantum Walks and Search Algorithms","author":"R Portugal","year":"2013","unstructured":"Portugal, R.: Quantum Walks and Search Algorithms. Springer, New York (2013)"},{"issue":"2","key":"1042_CR2","doi-asserted-by":"crossref","first-page":"1687","DOI":"10.1103\/PhysRevA.48.1687","volume":"48","author":"Y Aharonov","year":"1993","unstructured":"Aharonov, Y., Davidovich, L., Zagury, N.: Quantum random walks. Phys. Rev. A 48(2), 1687\u20131690 (1993)","journal-title":"Phys. Rev. A"},{"key":"1042_CR3","doi-asserted-by":"crossref","first-page":"032347","DOI":"10.1103\/PhysRevA.71.032347","volume":"71","author":"A Patel","year":"2005","unstructured":"Patel, A., Raghunathan, K.S., Rungta, P.: Quantum random walks do not need a coin toss. Phys. Rev. A 71, 032347 (2005)","journal-title":"Phys. Rev. A"},{"key":"1042_CR4","doi-asserted-by":"crossref","unstructured":"Ambainis, A., Bach, E., Nayak, A., Vishwanath, A., Watrous, J.: One-dimensional quantum walks. In: Proceedings of the Thirty-Third Annual ACM Symposium on Theory of Computing. STOC \u201901, pp. 37\u201349. ACM, New York, NY, USA (2001)","DOI":"10.1145\/380752.380757"},{"key":"1042_CR5","unstructured":"Nayak, A., Vishwanath, A.: Quantum Walk on the Line (2000). arXiv:quant-ph\/0010117v1"},{"issue":"5","key":"1042_CR6","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1023\/A:1023413713008","volume":"1","author":"N Konno","year":"2002","unstructured":"Konno, N.: Quantum random walks in one dimension. Quantum Inform. Process. 1(5), 345\u2013354 (2002)","journal-title":"Quantum Inform. Process."},{"key":"1042_CR7","doi-asserted-by":"crossref","first-page":"026119","DOI":"10.1103\/PhysRevE.69.026119","volume":"69","author":"G Grimmett","year":"2004","unstructured":"Grimmett, G., Janson, S., Scudo, P.F.: Weak limits for quantum random walks. Phys. Rev. E 69, 026119 (2004)","journal-title":"Phys. Rev. E"},{"issue":"7","key":"1042_CR8","doi-asserted-by":"crossref","first-page":"1558","DOI":"10.1166\/jctn.2013.3097","volume":"10","author":"Y Shikano","year":"2013","unstructured":"Shikano, Y.: From discrete time quantum walk to continuous time quantum walk in limit distribution. J. Comput. Theor. Nanosci. 10(7), 1558\u20131570 (2013)","journal-title":"J. Comput. Theor. Nanosci."},{"key":"1042_CR9","doi-asserted-by":"crossref","first-page":"012342","DOI":"10.1103\/PhysRevA.90.012342","volume":"90","author":"M \u0160tefa\u0148\u00e1k","year":"2014","unstructured":"\u0160tefa\u0148\u00e1k, M., Bezd\u011bkov\u00e1, I., Jex, I.: Limit distributions of three-state quantum walks: the role of coin eigenstates. Phys. Rev. A 90, 012342 (2014)","journal-title":"Phys. Rev. A"},{"key":"1042_CR10","doi-asserted-by":"crossref","first-page":"012307","DOI":"10.1103\/PhysRevA.90.012307","volume":"90","author":"S Falkner","year":"2014","unstructured":"Falkner, S., Boettcher, S.: Weak limit of the three-state quantum walk on the line. Phys. Rev. A 90, 012307 (2014)","journal-title":"Phys. Rev. A"},{"key":"1042_CR11","doi-asserted-by":"crossref","first-page":"062331","DOI":"10.1103\/PhysRevA.77.062331","volume":"77","author":"K Watabe","year":"2008","unstructured":"Watabe, K., Kobayashi, N., Katori, M., Konno, N.: Limit distributions of two-dimensional quantum walks. Phys. Rev. A 77, 062331 (2008)","journal-title":"Phys. Rev. A"},{"key":"1042_CR12","doi-asserted-by":"crossref","first-page":"012324","DOI":"10.1103\/PhysRevA.84.012324","volume":"84","author":"C Ampadu","year":"2011","unstructured":"Ampadu, C.: Limit theorems for quantum walks associated with Hadamard matrices. Phys. Rev. A 84, 012324 (2011)","journal-title":"Phys. Rev. A"},{"key":"1042_CR13","doi-asserted-by":"crossref","first-page":"042332","DOI":"10.1103\/PhysRevA.89.042332","volume":"89","author":"TJ Proctor","year":"2014","unstructured":"Proctor, T.J., Barr, K.E., Hanson, B., Martiel, S., Pavlovi\u0107, V., Bullivant, A., Kendon, V.M.: Nonreversal and nonrepeating quantum walks. Phys. Rev. A 89, 042332 (2014)","journal-title":"Phys. Rev. A"},{"key":"1042_CR14","unstructured":"Falk, M.: Quantum search on the spatial grid (2013). arXiv:quant-ph\/1303.4127"},{"key":"1042_CR15","doi-asserted-by":"crossref","first-page":"032331","DOI":"10.1103\/PhysRevA.82.032331","volume":"82","author":"A Patel","year":"2010","unstructured":"Patel, A., Raghunathan, K.S., Rahaman, M.A.: Search on a hypercubic lattice using a quantum random walk. ii. $$d=2$$ d = 2 . Phys. Rev. A 82, 032331 (2010)","journal-title":"Phys. Rev. A"},{"key":"1042_CR16","unstructured":"Ambainis, A., Portugal, R., Nahimov, N.: Spatial search on grids with minimum memory. arXiv:quant-ph\/1312.0172"},{"key":"1042_CR17","doi-asserted-by":"crossref","unstructured":"Portugal, R., Boettcher, S., Falkner, S.: One-dimensional coinless quantum walks (2014). arXiv:1408.5166v2 [quant-ph]","DOI":"10.1103\/PhysRevA.91.052319"},{"issue":"1","key":"1042_CR18","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1088\/1367-2630\/5\/1\/383","volume":"5","author":"B Tregenna","year":"2003","unstructured":"Tregenna, B., Flanagan, W., Maile, R., Kendon, V.: Controlling discrete quantum walks: coins and initial states. New J. Phys. 5(1), 83 (2003)","journal-title":"New J. Phys."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-015-1042-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-015-1042-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-015-1042-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,26]],"date-time":"2019-08-26T23:39:24Z","timestamp":1566862764000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-015-1042-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,6,16]]},"references-count":18,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2015,9]]}},"alternative-id":["1042"],"URL":"https:\/\/doi.org\/10.1007\/s11128-015-1042-9","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,6,16]]}}}