{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:27:10Z","timestamp":1740137230828,"version":"3.37.3"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2024,4,24]],"date-time":"2024-04-24T00:00:00Z","timestamp":1713916800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,4,24]],"date-time":"2024-04-24T00:00:00Z","timestamp":1713916800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"Qilu Normal University","award":["JG202235"],"award-info":[{"award-number":["JG202235"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-024-04369-y","type":"journal-article","created":{"date-parts":[[2024,4,24]],"date-time":"2024-04-24T10:02:06Z","timestamp":1713952926000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Efficient preparation of lossless quantum images based on Gray code"],"prefix":"10.1007","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6518-2667","authenticated-orcid":false,"given":"You-hang","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao-shuang","family":"Cheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chang-wei","family":"Loh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yong","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,4,24]]},"reference":[{"key":"4369_CR1","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1038\/s41586-023-06096-3","volume":"618","author":"Y Kim","year":"2023","unstructured":"Kim, Y., Eddins, A., Anand, S., Wei, K., Berg, E., Rosenblatt, S., Nayfeh, H., Wu, Y., Zaletel, M., Temme, K., Kandala, A.: Evidence for the utility of quantum computing before fault tolerance. Nature 618, 500\u2013505 (2023)","journal-title":"Nature"},{"key":"4369_CR2","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1038\/s41586-019-1666-5","volume":"574","author":"Google Quantum Lab AI","year":"2019","unstructured":"Google Quantum  Lab AI.: Quantum supremacy using a programmable superconducting processor. Nature 574, 505\u2013510 (2019)","journal-title":"Nature"},{"key":"4369_CR3","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1038\/s41586-021-03318-4","volume":"592","author":"JM Pino","year":"2021","unstructured":"Pino, J.M., Dreiling, J.M., Figgatt, C., Gaebler, J.P., Moses, S.A., Allman, M.S., Baldwin, C.H., Foss-Feig, M., Hayes, D., Mayer, K., Ryan-Anderson, C., Neyenhuis, B.: Demonstration of the trapped-ion quantum CCD computer architecture. Nature 592, 209 (2021)","journal-title":"Nature"},{"key":"4369_CR4","doi-asserted-by":"publisher","first-page":"79","DOI":"10.22331\/q-2018-08-06-79","volume":"2","author":"J Preskill","year":"2018","unstructured":"Preskill, J.: Quantum computing in the NISQ era and beyond. Quantum 2, 79 (2018)","journal-title":"Quantum"},{"key":"4369_CR5","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.94.015004","volume":"94","author":"K Bharti","year":"2022","unstructured":"Bharti, K., Cervera-Lierta, A., Kyaw, T.H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J.S., Menke, T., Mok, W.-K., Sim, S., Kwek, L.-C., Aspuru-Guzik, A.: Noisy intermediate-scale quantum algorithms. Rev. Modern Phys. 94, 015004 (2022)","journal-title":"Rev. Modern Phys."},{"key":"4369_CR6","unstructured":"Alok, A., Meizhong, L., Prabh S. B., Vinay P.: Quantum Image Processing. arXiv:2203.01831 [quant-ph]."},{"key":"4369_CR7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.101.032308","volume":"101","author":"M Schuld","year":"2018","unstructured":"Schuld, M., Bocharov, A., Svore, K., Wiebe, N.: Circuit centric quantum classifiers. Phys. Rev. A 101, 032308 (2018)","journal-title":"Phys. Rev. A"},{"key":"4369_CR8","doi-asserted-by":"crossref","unstructured":"Schuld, M., Fingerhuth, M., Petruccione, F.: Implementing a distance-based classifier with a quantum interference circuit. EPL (Europhysics Letters) 119, 60002 (2017).","DOI":"10.1209\/0295-5075\/119\/60002"},{"key":"4369_CR9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.103.052414","volume":"103","author":"Y Takaki","year":"2021","unstructured":"Takaki, Y., Mitarai, K., Negoro, M., Fujii, K., Kitagawa, M.: Learning temporal data with a variational quantum recurrent neural network. Phys. Rev. A 103, 052414 (2021)","journal-title":"Phys. Rev. A"},{"key":"4369_CR10","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1038\/s41586-019-0980-2","volume":"567","author":"V Havl\u00ed\u010dek","year":"2019","unstructured":"Havl\u00ed\u010dek, V., C\u00f3rcoles, A.D., Temme, K., Harrow, A.W., Kandala, A., Chow, J.M., Gambetta, J.M.: Supervised learning with quantum-enhanced feature spaces. Nature 567, 209 (2019)","journal-title":"Nature"},{"key":"4369_CR11","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6633\/aab406","volume":"81","author":"V Dunjko","year":"2018","unstructured":"Dunjko, V., Briegel, H.J.: Machine learning & artificial intelligence in the quantum domain: a review of recent progress. Reports Progress Phys. 81, 074001 (2018)","journal-title":"Reports Progress Phys."},{"key":"4369_CR12","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1038\/nature23474","volume":"549","author":"J Biamonte","year":"2017","unstructured":"Biamonte, J., Wittek, P., Pancotti, N., Rebentrost, P., Wiebe, N., Lloyd, S.: Quantum machine learning. Nature 549, 195 (2017)","journal-title":"Nature"},{"key":"4369_CR13","doi-asserted-by":"publisher","first-page":"625","DOI":"10.1038\/s42254-021-00348-9","volume":"3","author":"M Cerezo","year":"2021","unstructured":"Cerezo, M., Arrasmith, A., Babbush, R., Benjamin, S.C., Endo, S., Fujii, K., McClean, J.R., Mitarai, K., Yuan, X., Cincio, L., Coles, P.J.: Variational quantum algorithms. Nat. Rev. Phys. 3, 625 (2021)","journal-title":"Nat. Rev. Phys."},{"key":"4369_CR14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.98.032309","volume":"98","author":"K Mitarai","year":"2018","unstructured":"Mitarai, K., Negoro, M., Kitagawa, M., Fujii, K.: Quantum circuit learning. Phys. Rev. A 98, 032309 (2018)","journal-title":"Phys. Rev. A"},{"key":"4369_CR15","doi-asserted-by":"publisher","first-page":"711","DOI":"10.1038\/s43588-022-00351-9","volume":"2","author":"W Ren","year":"2022","unstructured":"Ren, W., Li, W., Xu, S., Wang, K., Jiang, W., Jin, F., Zhu, X., Chen, J., Song, Z., Zhang, P., Dong, H., Zhang, X., Deng, J., Gao, Y., Zhang, C., Wu, Y., Zhang, B., Guo, Q., Li, H., Wang, Z., Biamonte, J., Song, C., Deng, D., Wang, H.: Experimental quantum adversarial learning with programmable superconducting qubits. Nat. Comput. Sci. 2, 711\u2013717 (2022)","journal-title":"Nat. Comput. Sci."},{"key":"4369_CR16","doi-asserted-by":"publisher","first-page":"33212","DOI":"10.1103\/PhysRevResearch.2.033212","volume":"2","author":"S Lu","year":"2020","unstructured":"Lu, S., Duan, L., Deng, D.: Quantum adversarial machine learning. Phys. Rev. Res. Am. Phys. Soc. 2, 33212 (2020)","journal-title":"Phys. Rev. Res. Am. Phys. Soc."},{"key":"4369_CR17","doi-asserted-by":"crossref","unstructured":"Gong, W., Deng, D.-L.: Universal adversarial examples and perturbations for quantum classifiers. National Sci. Rev. 9, nwab130 (2021).","DOI":"10.1093\/nsr\/nwab130"},{"key":"4369_CR18","doi-asserted-by":"publisher","unstructured":"Yan, F., Venegas-Andraca, S.E. (2020). Quantum Image Representations. In: Quantum Image Processing. Springer, Singapore. https:\/\/doi.org\/10.1007\/978-981-32-9331-1_2.","DOI":"10.1007\/978-981-32-9331-1_2"},{"key":"4369_CR19","doi-asserted-by":"publisher","first-page":"7776","DOI":"10.1038\/s41598-022-11863-9","volume":"12","author":"Y Liu","year":"2022","unstructured":"Liu, Y., Qi, Z., Liu, Q.: Comparison of the similarity between two quantum images. Sci. Rep. 12, 7776 (2022)","journal-title":"Sci. Rep."},{"issue":"8","key":"4369_CR20","doi-asserted-by":"publisher","first-page":"244","DOI":"10.1007\/s11128-019-2357-8","volume":"18","author":"X Liu","year":"2019","unstructured":"Liu, X., Zhou, R., El-Rafei, A., Li, F., Xu, R.: Similarity assessment of quantum images. Quantum Inf. Process. 18(8), 244 (2019)","journal-title":"Quantum Inf. Process."},{"key":"4369_CR21","doi-asserted-by":"publisher","first-page":"4001","DOI":"10.1007\/s11128-015-1099-5","volume":"14","author":"N Jiang","year":"2015","unstructured":"Jiang, N., Wang, J., Mu, Y.: Quantum image scaling up based on nearest-neighbor interpolation with integer scaling ratio. Quantum Inf. Process. 14, 4001\u20134026 (2015)","journal-title":"Quantum Inf. Process."},{"key":"4369_CR22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s41598-016-0028-x","volume":"7","author":"R Zhou","year":"2017","unstructured":"Zhou, R., Hu, W., Fan, P., Hou, I.: Quantum realization of the bilinear interpolation method for NEQR. Sci. Rep. 7, 1\u201317 (2017)","journal-title":"Sci. Rep."},{"issue":"3","key":"4369_CR23","volume":"7","author":"X Yao","year":"2017","unstructured":"Yao, X., Wang, H., Liao, Z., Chen, M., Pan, J., Li, J., Zhang, K., Lin, X., Wang, Z., Luo, Z., Zheng, W., Li, J., Zhao, M., Peng, X., Suter, D.: Quantum image processing and its application to edge detection: Theory and experiment. Phys. Rev. x. 7(3), 031041 (2017)","journal-title":"Phys. Rev. x."},{"key":"4369_CR24","first-page":"1","volume":"58","author":"Y Zhang","year":"2015","unstructured":"Zhang, Y., Lu, K., Gao, Y.: QSobel: A novel quantum image edge extraction algorithm. Sci. China Inf. Sci. 58, 1\u201313 (2015)","journal-title":"Sci. China Inf. Sci."},{"key":"4369_CR25","doi-asserted-by":"publisher","first-page":"2350","DOI":"10.1007\/s10773-017-3389-4","volume":"56","author":"Y He","year":"2017","unstructured":"He, Y., Luo, M.X., Zhang, E., Wang, H.K., Wang, X.F.: Decompositions of n-qubit toffoli gates with linear circuit complexity. Int. J. Theor. Phys. 56, 2350\u20132361 (2017)","journal-title":"Int. J. Theor. Phys."},{"key":"4369_CR26","unstructured":"Gidney, C.: https:\/\/algassert.com\/circuits\/2015\/06\/05\/Constructing-Large-Controlled-Nots.html"},{"key":"4369_CR27","doi-asserted-by":"publisher","unstructured":"Sleeman, J., Dorband, J., Halem, M. A.: A hybrid approach: Convolutional autoencoders for quantum image compression and RBMs for generative learning (Conference Presentation). In: Quantum Information Science, Sensing, and Computation XII. (2020). https:\/\/doi.org\/10.1117\/12.2558832.","DOI":"10.1117\/12.2558832"},{"key":"4369_CR28","doi-asserted-by":"crossref","unstructured":"Jiang, N., Lu,  X., Hu, H., Dang, Y., Cai, Y.: A novel quantum image compression method based on JPEG. Int. J. Theor. Phys. 57, 1 (2017).","DOI":"10.1007\/s10773-017-3593-2"},{"key":"4369_CR29","doi-asserted-by":"publisher","first-page":"7712","DOI":"10.1038\/s41598-022-11024-y","volume":"12","author":"MG Amankwah","year":"2022","unstructured":"Amankwah, M.G., Camps, D., Bethel, E.W., Beeumen, R.V., Perciano, T.: Quantum pixel representations and compression for N-dimensional images. Sci. Rep. 12, 7712 (2022)","journal-title":"Sci. Rep."},{"issue":"12","key":"4369_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.H., Wang, M.: NEQR: A novel enhanced quantum representation of digital images. Quantum Inf. Process. 12(12), 2833\u20132860 (2013)","journal-title":"Quantum Inf. Process."},{"key":"4369_CR31","unstructured":"Press, W. H., Flannery,  B. P., Teukolsky,  S. A., Vetterling, W. T.: \u201d Gray Codes.\u201d In: Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed.. Cambridge University Press, Cambridge, pp 886-888 (1992)."},{"key":"4369_CR32","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.92.177902","volume":"92","author":"JJ Vartiainen","year":"2004","unstructured":"Vartiainen, J.J., Mottonen, M., Salomaa, M.M.: Efficient decomposition of quantum gates. Phys. Rev. Lett. 92, 177902 (2004)","journal-title":"Phys. Rev. Lett."},{"key":"4369_CR33","doi-asserted-by":"publisher","first-page":"1153","DOI":"10.1109\/TMI.2016.2553401","volume":"35","author":"G Hayit","year":"2016","unstructured":"Hayit, G., Ginneken, B.V., Summers, R.M.: Guest editorial deep learning in medical imaging: overview and future promise of an exciting new technique. IEEE T. Med. Imaging 35, 1153 (2016)","journal-title":"IEEE T. Med. Imaging"},{"key":"4369_CR34","unstructured":"Polanco, A.: Medical MNIST classification (2017). https:\/\/github.com\/apolanco3225\/Medical-MNIST-Classification"},{"key":"4369_CR35","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1007\/s11128-016-1463-0","volume":"16","author":"J Sang","year":"2017","unstructured":"Sang, J., Wang, S., Li, Q.: A novel quantum representation of color digital images. Quantum Inf. Process. 16, 42\u201356 (2017)","journal-title":"Quantum Inf. Process."},{"key":"4369_CR36","unstructured":"Wakerly, J. F.: Digital design : principles and practices. Prentice Hall, New Jersey (1989)."},{"issue":"5","key":"4369_CR37","doi-asserted-by":"publisher","first-page":"52310","DOI":"10.1103\/PhysRevA.79.052310","volume":"79","author":"D Rosenbaum","year":"2009","unstructured":"Rosenbaum, D., Perkowski, M.: Extended superposed quantum-state initialization using disjoint prime implicants. Phys. Rev. A 79(5), 52310 (2009)","journal-title":"Phys. Rev. A"},{"key":"4369_CR38","unstructured":"Jumade, R., Sawaya, N. P. D.: Data is often loadable in short depth: Quantum circuits from tensor networks for finance, images, fluids, and proteins. arXiv:2309.13108 [quant-ph]."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-024-04369-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-024-04369-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-024-04369-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,28]],"date-time":"2024-05-28T18:45:22Z","timestamp":1716921922000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-024-04369-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,24]]},"references-count":38,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2024,5]]}},"alternative-id":["4369"],"URL":"https:\/\/doi.org\/10.1007\/s11128-024-04369-y","relation":{},"ISSN":["1573-1332"],"issn-type":[{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2024,4,24]]},"assertion":[{"value":"31 August 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 March 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 April 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflicts of interest to this work. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"161"}}