{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,17]],"date-time":"2026-06-17T01:55:22Z","timestamp":1781661322965,"version":"3.54.5"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2021,1,21]],"date-time":"2021-01-21T00:00:00Z","timestamp":1611187200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,21]],"date-time":"2021-01-21T00:00:00Z","timestamp":1611187200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"name":"Spanish Ministry of Science","award":["RTI2018-095993-B-I00"],"award-info":[{"award-number":["RTI2018-095993-B-I00"]}]},{"DOI":"10.13039\/501100008530","name":"European Regional Development Fund","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100008530","id-type":"DOI","asserted-by":"crossref"}]},{"name":"FPI Fellowship","award":["TIN2015-66680-C2-1-R"],"award-info":[{"award-number":["TIN2015-66680-C2-1-R"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Supercomput"],"published-print":{"date-parts":[[2021,8]]},"DOI":"10.1007\/s11227-020-03576-5","type":"journal-article","created":{"date-parts":[[2021,1,21]],"date-time":"2021-01-21T21:02:32Z","timestamp":1611262952000},"page":"8433-8444","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Optimal fault-tolerant quantum comparators for image binarization"],"prefix":"10.1007","volume":"77","author":[{"given":"F.","family":"Orts","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6563-2717","authenticated-orcid":false,"given":"G.","family":"Ortega","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A. C.","family":"Cucura","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"E.","family":"Filatovas","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"E. M.","family":"Garz\u00f3n","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,1,21]]},"reference":[{"key":"3576_CR1","unstructured":"Caraiman S, Manta V (2012) Image processing using quantum computing. In: 2012 16th International Conference on System Theory, Control and Computing (ICSTCC), pp. 1\u20136. IEEE"},{"key":"3576_CR2","doi-asserted-by":"publisher","first-page":"532","DOI":"10.1007\/978-3-030-34869-4_58","volume-title":"International Conference on Pattern Recognition and Machine Intelligence","author":"R Chetia","year":"2019","unstructured":"Chetia R, Boruah S, Roy S, Sahu P (2019) Quantum image edge detection based on four directional sobel operator. International Conference on Pattern Recognition and Machine Intelligence. Springer, Berlin, pp 532\u2013540"},{"issue":"1","key":"3576_CR3","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1007\/s11128-018-2131-3","volume":"18","author":"P Fan","year":"2019","unstructured":"Fan P, Zhou RG, Hu W, Jing N (2019) Quantum image edge extraction based on classical Sobel operator for NEQR. Quantum Inf Process 18(1):24","journal-title":"Quantum Inf Process"},{"key":"3576_CR4","doi-asserted-by":"publisher","first-page":"74","DOI":"10.22331\/q-2018-06-18-74","volume":"2","author":"C Gidney","year":"2018","unstructured":"Gidney C (2018) Halving the cost of quantum addition. Quantum 2:74","journal-title":"Quantum"},{"key":"3576_CR5","doi-asserted-by":"crossref","unstructured":"Guerreschi GG, Hogaboam J, Baruffa F, Sawaya N (2020) Intel quantum simulator: a cloud-ready high-performance simulator of quantum circuits. CoRR abs\/2001.10554","DOI":"10.1088\/2058-9565\/ab8505"},{"issue":"2","key":"3576_CR6","doi-asserted-by":"publisher","first-page":"020501","DOI":"10.1088\/2058-9565\/aaa5cc","volume":"3","author":"T H\u00e4ner","year":"2018","unstructured":"H\u00e4ner T, Steiger DS, Svore K, Troyer M (2018) A software methodology for compiling quantum programs. Quantum Sci Technol 3(2):020501","journal-title":"Quantum Sci Technol"},{"key":"3576_CR7","doi-asserted-by":"publisher","first-page":"2874","DOI":"10.3390\/e15082874","volume":"15","author":"AM Iliyasu","year":"2013","unstructured":"Iliyasu AM (2013) Review towards realising secure and efficient image and video processing applications on quantum computers. Entropy 15:2874\u20132974. https:\/\/doi.org\/10.3390\/e15082874","journal-title":"Entropy"},{"issue":"1","key":"3576_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s41598-018-37186-2","volume":"9","author":"T Jones","year":"2019","unstructured":"Jones T, Brown A, Bush I, Benjamin SC (2019) Quest and high performance simulation of quantum computers. Sci Rep 9(1):1\u201311","journal-title":"Sci Rep"},{"key":"3576_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11425-018-9502-y","volume":"63","author":"HS Li","year":"2020","unstructured":"Li HS, Fan P, Xia HY, Peng H, Long GL (2020) Efficient quantum arithmetic operation circuits for quantum image processing. Sci China Phys Mech Astronomy 63:1\u201313","journal-title":"Sci China Phys Mech Astronomy"},{"issue":"2","key":"3576_CR10","doi-asserted-by":"publisher","first-page":"514","DOI":"10.1007\/s10773-019-04346-7","volume":"59","author":"P Li","year":"2020","unstructured":"Li P, Shi T, Zhao Y, Lu A (2020) Design of threshold segmentation method for quantum image. Int J Theor Phys 59(2):514\u2013538","journal-title":"Int J Theor Phys"},{"issue":"6","key":"3576_CR11","doi-asserted-by":"publisher","first-page":"562","DOI":"10.3390\/e21060562","volume":"21","author":"H Michalak","year":"2019","unstructured":"Michalak H, Okarma K (2019) Improvement of image binarization methods using image preprocessing with local entropy filtering for alphanumerical character recognition purposes. Entropy 21(6):562","journal-title":"Entropy"},{"issue":"5","key":"3576_CR12","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1109\/TC.2018.2882774","volume":"68","author":"E Mu\u00f1oz-Coreas","year":"2019","unstructured":"Mu\u00f1oz-Coreas E, Thapliyal H (2019) Quantum circuit design of a t-count optimized integer multiplier. IEEE Trans Comput 68(5):729\u2013739","journal-title":"IEEE Trans Comput"},{"key":"3576_CR13","doi-asserted-by":"publisher","first-page":"558","DOI":"10.1119\/1.1463744","volume":"70","author":"MA Nielsen","year":"2002","unstructured":"Nielsen MA, Chuang I (2002) Quantum computation and quantum information. Am J Phys 70:558","journal-title":"Am J Phys"},{"key":"3576_CR14","doi-asserted-by":"publisher","first-page":"102810","DOI":"10.1016\/j.jnca.2020.102810","volume":"170","author":"F Orts","year":"2020","unstructured":"Orts F, Ortega G, Combarro EF, Garz\u00f3n EM (2020) A review on reversible quantum adders. J Netw Comput Appl 170:102810. https:\/\/doi.org\/10.1016\/j.jnca.2020.102810","journal-title":"J Netw Comput Appl"},{"issue":"11","key":"3576_CR15","doi-asserted-by":"publisher","first-page":"332","DOI":"10.1007\/s11128-019-2447-7","volume":"18","author":"F Orts","year":"2019","unstructured":"Orts F, Ortega G, Garz\u00f3n EM (2019) An optimized quantum circuit for converting from sign-magnitude to two\u2019s complement. Quantum Inf Process 18(11):332. https:\/\/doi.org\/10.1007\/s11128-019-2447-7","journal-title":"Quantum Inf Process"},{"issue":"9\u201310","key":"3576_CR16","first-page":"747","volume":"20","author":"F Orts","year":"2020","unstructured":"Orts F, Ortega G, Garz\u00f3n EM (2020) Efficient reversible quantum design of sign-magnitude to two\u2019s complement converters. Quantum Inf Comput 20(9\u201310):747\u2013765","journal-title":"Quantum Inf Comput"},{"key":"3576_CR17","doi-asserted-by":"publisher","DOI":"10.21468\/SciPostPhys.3.3.021","author":"J Pachos","year":"2017","unstructured":"Pachos J, Lahtinen V (2017) A short introduction to topological quantum computation. SciPost Phys. https:\/\/doi.org\/10.21468\/SciPostPhys.3.3.021","journal-title":"SciPost Phys"},{"key":"3576_CR18","unstructured":"Shin SW, Smith G, Smolin JA, Vazirani U (2014) How \u201cquantum\u201d is the D-Wave machine? arXiv preprint arXiv:1401.7087"},{"issue":"49","key":"3576_CR19","first-page":"10","volume":"2","author":"DS Steiger","year":"2018","unstructured":"Steiger DS, H\u00e4ner T, Troyer M (2018) ProjectQ: an open source software framework for quantum computing. Quantum 2(49):10\u201322331","journal-title":"Quantum"},{"key":"3576_CR20","unstructured":"Thapliyal H, Mu\u00f1oz-Coreas E, Khalus V (2020) T-count and qubit optimized quantum circuit designs of carry lookahead adder. arXiv preprint arXiv:2004.01826"},{"key":"3576_CR21","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/j.optcom.2019.01.015","volume":"438","author":"L Wang","year":"2019","unstructured":"Wang L, Ran Q, Ma J, Yu S, Tan L (2019) QRCI: a new quantum representation model of color digital images. Opt Commun 438:147\u2013158","journal-title":"Opt Commun"},{"issue":"9","key":"3576_CR22","first-page":"302","volume":"39","author":"D Wang","year":"2012","unstructured":"Wang D, Liu ZH, Zhu WN, Li SZ (2012) Design of quantum comparator based on extended general Toffoli gates with multiple targets. Comput. Sci. 39(9):302\u2013306","journal-title":"Comput. Sci."},{"issue":"6","key":"3576_CR23","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/s11128-020-02678-6","volume":"19","author":"H Xia","year":"2020","unstructured":"Xia H, Xiao Y, Song S, Li H (2020) Quantum circuit design of approximate median filtering with noise tolerance threshold. Quantum Inf Process 19(6):183","journal-title":"Quantum Inf Process"},{"issue":"12","key":"3576_CR24","doi-asserted-by":"publisher","first-page":"3727","DOI":"10.1007\/s10773-018-3886-0","volume":"57","author":"HY Xia","year":"2018","unstructured":"Xia HY, Li H, Zhang H, Liang Y, Xin J (2018) An efficient design of reversible multi-bit quantum comparator via only a single ancillary bit. Int J Theor Phys 57(12):3727\u20133744","journal-title":"Int J Theor Phys"},{"issue":"7","key":"3576_CR25","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/s11128-019-2334-2","volume":"18","author":"HY Xia","year":"2019","unstructured":"Xia HY, Li H, Zhang H, Liang Y, Xin J (2019) Novel multi-bit quantum comparators and their application in image binarization. Quantum Inf Process 18(7):229","journal-title":"Quantum Inf Process"},{"issue":"09","key":"3576_CR26","doi-asserted-by":"publisher","first-page":"2050049","DOI":"10.1142\/S0217732320500492","volume":"35","author":"HY Xia","year":"2020","unstructured":"Xia HY, Zhang H, Song SX, Li H, Zhou YJ, Chen X (2020) Design and simulation of quantum image binarization using quantum comparator. Mod Phys Lett A 35(09):2050049","journal-title":"Mod Phys Lett A"},{"key":"3576_CR27","doi-asserted-by":"publisher","first-page":"1730001","DOI":"10.1142\/S0219749917300017","volume":"15","author":"F Yan","year":"2017","unstructured":"Yan F, Iliyasu A, Le P (2017) Quantum image processing: a review of advances in its security technologies. Int J Quantum Inf 15:1730001. https:\/\/doi.org\/10.1142\/S0219749917300017","journal-title":"Int J Quantum Inf"},{"key":"3576_CR28","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-32-9331-1","volume-title":"Quantum image processing","author":"F Yan","year":"2020","unstructured":"Yan F, Venegas-Andraca S (2020) Quantum image processing. Springer, Berlin"},{"key":"3576_CR29","unstructured":"Zhang F, Chen J (2019) Optimizing t gates in Clifford+T circuit as $$\\pi \/4$$ rotations around Paulis"},{"issue":"8","key":"3576_CR30","doi-asserted-by":"publisher","first-page":"2833","DOI":"10.1007\/s11128-013-0567-z","volume":"12","author":"Y Zhang","year":"2013","unstructured":"Zhang Y, Lu K, Gao Y, Wang M (2013) NEQR: a novel enhanced quantum representation of digital images. Quantum Inf Process 12(8):2833\u20132860","journal-title":"Quantum Inf Process"}],"container-title":["The Journal of Supercomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-020-03576-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11227-020-03576-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-020-03576-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,12]],"date-time":"2022-12-12T19:04:14Z","timestamp":1670871854000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11227-020-03576-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,21]]},"references-count":30,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2021,8]]}},"alternative-id":["3576"],"URL":"https:\/\/doi.org\/10.1007\/s11227-020-03576-5","relation":{},"ISSN":["0920-8542","1573-0484"],"issn-type":[{"value":"0920-8542","type":"print"},{"value":"1573-0484","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,21]]},"assertion":[{"value":"14 December 2020","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 January 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}