{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:27:27Z","timestamp":1740137247824,"version":"3.37.3"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2022,10,10]],"date-time":"2022-10-10T00:00:00Z","timestamp":1665360000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,10,10]],"date-time":"2022-10-10T00:00:00Z","timestamp":1665360000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-022-03680-w","type":"journal-article","created":{"date-parts":[[2022,10,10]],"date-time":"2022-10-10T11:51:55Z","timestamp":1665402715000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Asymmetric quantum codes with high code rates"],"prefix":"10.1007","volume":"21","author":[{"given":"Xilin","family":"Tang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3630-368X","authenticated-orcid":false,"given":"Weixian","family":"Li","sequence":"additional","affiliation":[]},{"given":"Wei","family":"Zhao","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,10,10]]},"reference":[{"issue":"1","key":"3680_CR1","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1016\/j.tcs.2014.05.025","volume":"560","author":"CH Bennett","year":"2014","unstructured":"Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. Theor. Comput. Sci. 560(1), 7\u201311 (2014). https:\/\/doi.org\/10.1016\/j.tcs.2014.05.025","journal-title":"Theor. Comput. Sci."},{"issue":"4","key":"3680_CR2","doi-asserted-by":"publisher","first-page":"2493","DOI":"10.1103\/physreva.52.r2493","volume":"52","author":"PW Shor","year":"1995","unstructured":"Shor, P.W.: Scheme for reducing decoherence in quantum computer memory. Phys. Rev. A 52(4), 2493\u20132496 (1995). https:\/\/doi.org\/10.1103\/physreva.52.r2493","journal-title":"Phys. Rev. A"},{"issue":"2","key":"3680_CR3","doi-asserted-by":"publisher","first-page":"1098","DOI":"10.1103\/PhysRevA.54.1098","volume":"54","author":"AR Calderbank","year":"1996","unstructured":"Calderbank, A.R., Shor, P.W.: Good quantum error-correcting codes exist. Phys. Rev. A 54(2), 1098\u20131105 (1996). https:\/\/doi.org\/10.1103\/PhysRevA.54.1098","journal-title":"Phys. Rev. A"},{"issue":"5","key":"3680_CR4","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1103\/physrevlett.77.793","volume":"77","author":"AM Steane","year":"1996","unstructured":"Steane, A.M.: Error correcting codes in quantum theory. Phys. Rev. Lett. 77(5), 793\u2013797 (1996). https:\/\/doi.org\/10.1103\/physrevlett.77.793","journal-title":"Phys. Rev. Lett."},{"issue":"1954","key":"3680_CR5","doi-asserted-by":"publisher","first-page":"2551","DOI":"10.1098\/rspa.1996.0136","volume":"452","author":"AM Steane","year":"1996","unstructured":"Steane, A.M.: Multiple-particle interference and quantum error correction. Proc. R. Soc. Lond. Ser. A 452(1954), 2551\u20132577 (1996). https:\/\/doi.org\/10.1098\/rspa.1996.0136","journal-title":"Proc. R. Soc. Lond. Ser. A"},{"issue":"6","key":"3680_CR6","doi-asserted-by":"publisher","first-page":"4741","DOI":"10.1103\/physreva.54.4741","volume":"54","author":"AM Steane","year":"1996","unstructured":"Steane, A.M.: Simple quantum error-correcting codes. Phys. Rev. A 54(6), 4741\u20134751 (1996). https:\/\/doi.org\/10.1103\/physreva.54.4741","journal-title":"Phys. Rev. A"},{"key":"3680_CR7","doi-asserted-by":"publisher","first-page":"2552","DOI":"10.1038\/s41467-018-04916-z","volume":"9","author":"MH Abobeih","year":"2018","unstructured":"Abobeih, M.H., Cramer, J., Bakker, M.A., Kalb, N., Markham, M., Twitchen, D.J., Taminiau, T.H.: One-second coherence for a single electron spin coupled to a multi-qubit nuclear-spin environment. Nat. Commun. 9, 2552 (2018). https:\/\/doi.org\/10.1038\/s41467-018-04916-z","journal-title":"Nat. Commun."},{"issue":"1","key":"3680_CR8","doi-asserted-by":"publisher","first-page":"010339","DOI":"10.1103\/prxquantum.2.010339","volume":"2","author":"A Gyenis","year":"2021","unstructured":"Gyenis, A., Mundada, P.S., Paolo, A.D., Hazard, T.M., You, X., Schuster, D.I., Koch, J., Blais, A., Houck, A.A.: Experimental realization of a protected superconducting circuit derived from the $$0 \\sim \\pi $$ qubit. PRX Quantum 2(1), 010339 (2021). https:\/\/doi.org\/10.1103\/prxquantum.2.010339","journal-title":"PRX Quantum"},{"issue":"7908","key":"3680_CR9","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1038\/s41586-022-04539-x","volume":"605","author":"X Zhou","year":"2022","unstructured":"Zhou, X., Koolstra, G., Zhang, X., Yang, G., Han, X., Dizdar, B., Li, X., Divan, R., Guo, W., Murch, K.W., Schuster, D.I., Jin, D.: Single electrons on solid neon as a solid-state qubit platform. Nature 605(7908), 46\u201350 (2022). https:\/\/doi.org\/10.1038\/s41586-022-04539-x","journal-title":"Nature"},{"issue":"3","key":"3680_CR10","doi-asserted-by":"publisher","first-page":"032345","DOI":"10.1103\/physreva.75.032345","volume":"75","author":"L Ioffe","year":"2007","unstructured":"Ioffe, L., M\u00e9zard, M.: Asymmetric quantum error-correcting codes. Phys. Rev. A 75(3), 032345 (2007). https:\/\/doi.org\/10.1103\/physreva.75.032345","journal-title":"Phys. Rev. A"},{"key":"3680_CR11","doi-asserted-by":"publisher","unstructured":"Aly, S.A.: Asymmetric quantum BCH codes. In: Proceedings International Conference on Computer Engineering & Systems, pp. 157\u2013162 (2008). https:\/\/doi.org\/10.1109\/ICCES.2008.4772987","DOI":"10.1109\/ICCES.2008.4772987"},{"key":"3680_CR12","doi-asserted-by":"publisher","unstructured":"Sarvepalli, P.K., Klappenecker, A., Rotteler, M.: Asymmetric quantum LDPC codes. In: Proceedings IEEE International Symposium on Information Theory, pp. 305\u2013309 (2008). https:\/\/doi.org\/10.1109\/ISIT.2008.4594997","DOI":"10.1109\/ISIT.2008.4594997"},{"issue":"2105","key":"3680_CR13","doi-asserted-by":"publisher","first-page":"1645","DOI":"10.1098\/rspa.2008.0439","volume":"465","author":"PK Sarvepalli","year":"2009","unstructured":"Sarvepalli, P.K., Klappenecker, A., R\u00f6tteler, M.: Asymmetric quantum codes: constructions, bounds and performance. Proc. R. Soc. A 465(2105), 1645\u20131672 (2009). https:\/\/doi.org\/10.1098\/rspa.2008.0439","journal-title":"Proc. R. Soc. A"},{"issue":"3","key":"3680_CR14","doi-asserted-by":"publisher","first-page":"465","DOI":"10.1007\/s11433-012-4655-3","volume":"55","author":"R Leng","year":"2012","unstructured":"Leng, R., Ma, Z.: Constructions of new families of nonbinary asymmetric quantum BCH codes and subsystem BCH codes. Sci. China Phys. Mech. Astron. 55(3), 465\u2013469 (2012). https:\/\/doi.org\/10.1007\/s11433-012-4655-3","journal-title":"Sci. China Phys. Mech. Astron."},{"issue":"06","key":"3680_CR15","doi-asserted-by":"publisher","first-page":"1450017","DOI":"10.1142\/s0217979214500179","volume":"28","author":"R Li","year":"2014","unstructured":"Li, R., Xu, G., Guo, L.: On two problems of asymmetric quantum codes. Int. J. Mod. Phys. B 28(06), 1450017 (2014). https:\/\/doi.org\/10.1142\/s0217979214500179","journal-title":"Int. J. Mod. Phys. B"},{"key":"3680_CR16","doi-asserted-by":"publisher","unstructured":"Guardia, G.G.L.: On the construction of asymmetric quantum codes. Int. J. Theor. Phys. (2014). https:\/\/doi.org\/10.1007\/s10773-014-2031-y","DOI":"10.1007\/s10773-014-2031-y"},{"key":"3680_CR17","doi-asserted-by":"publisher","unstructured":"Ma, Y., Feng, X., Lv, L., Li, J.: Dual containing BCH codes and new asymmetric quantum codes. In: Proceedings Fifth International Conference on Instrumentation and Measurement, Computer, Communication and Control (IMCCC), pp. 1575\u20131578 (2015). https:\/\/doi.org\/10.1109\/IMCCC.2015.334","DOI":"10.1109\/IMCCC.2015.334"},{"issue":"7","key":"3680_CR18","doi-asserted-by":"publisher","first-page":"2759","DOI":"10.1007\/s11128-016-1320-1","volume":"15","author":"Y Ma","year":"2016","unstructured":"Ma, Y., Feng, X., Xu, G.: New asymmetric quantum codes over $${\\mathbb{F} }_q$$. Quantum Inf. Process. 15(7), 2759\u20132769 (2016). https:\/\/doi.org\/10.1007\/s11128-016-1320-1","journal-title":"Quantum Inf. Process."},{"issue":"6","key":"3680_CR19","doi-asserted-by":"publisher","first-page":"2938","DOI":"10.1109\/tit.2010.2046221","volume":"56","author":"L Wang","year":"2010","unstructured":"Wang, L., Feng, K., Ling, S., Xing, C.: Asymmetric quantum codes: characterization and constructions. IEEE Trans. Inf. Theory 56(6), 2938\u20132945 (2010). https:\/\/doi.org\/10.1109\/tit.2010.2046221","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"10","key":"3680_CR20","doi-asserted-by":"publisher","first-page":"4071","DOI":"10.1007\/s11128-016-1378-9","volume":"15","author":"C Munuera","year":"2016","unstructured":"Munuera, C., Ten\u00f3rio, W., Torres, F.: Quantum error-correcting codes from algebraic geometry codes of Castle type. Quantum Inf. Process. 15(10), 4071\u20134088 (2016). https:\/\/doi.org\/10.1007\/s11128-016-1378-9","journal-title":"Quantum Inf. Process."},{"key":"3680_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-017-1618-7","author":"GGL Guardia","year":"2017","unstructured":"Guardia, G.G.L., Pereira, F.R.F.: Good and asymptotically good quantum codes derived from algebraic geometry. Quantum Inf. Process. (2017). https:\/\/doi.org\/10.1007\/s11128-017-1618-7","journal-title":"Quantum Inf. Process."},{"issue":"2","key":"3680_CR22","doi-asserted-by":"publisher","first-page":"591","DOI":"10.1007\/s11128-011-0269-3","volume":"11","author":"GGL Guardia","year":"2011","unstructured":"Guardia, G.G.L.: Asymmetric quantum Reed\u2013Solomon and generalized Reed\u2013Solomon codes. Quantum Inf. Process. 11(2), 591\u2013604 (2011). https:\/\/doi.org\/10.1007\/s11128-011-0269-3","journal-title":"Quantum Inf. Process."},{"issue":"7","key":"3680_CR23","doi-asserted-by":"publisher","first-page":"1989","DOI":"10.1016\/j.disc.2019.03.019","volume":"342","author":"X Shi","year":"2019","unstructured":"Shi, X., Yue, Q., Wu, Y.: New quantum MDS codes with large minimum distance and short length from generalized Reed-Solomon codes. Discrete Math. 342(7), 1989\u20132001 (2019). https:\/\/doi.org\/10.1016\/j.disc.2019.03.019","journal-title":"Discrete Math."},{"issue":"12","key":"3680_CR24","doi-asserted-by":"publisher","first-page":"111593","DOI":"10.1016\/j.disc.2019.07.009","volume":"342","author":"F Tian","year":"2019","unstructured":"Tian, F., Zhu, S.: Some new quantum MDS codes from generalized Reed\u2013Solomon codes. Discrete Math. 342(12), 111593 (2019). https:\/\/doi.org\/10.1016\/j.disc.2019.07.009","journal-title":"Discrete Math."},{"issue":"02","key":"3680_CR25","doi-asserted-by":"publisher","first-page":"1350010","DOI":"10.1142\/s0217984913500103","volume":"27","author":"J Qian","year":"2012","unstructured":"Qian, J., Zhang, L.: New optimal asymmetric quantum codes. Mod. Phys. Lett. B 27(02), 1350010 (2012). https:\/\/doi.org\/10.1142\/s0217984913500103","journal-title":"Mod. Phys. Lett. B"},{"issue":"1","key":"3680_CR26","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1007\/s10773-013-1784-z","volume":"53","author":"J-Z Chen","year":"2013","unstructured":"Chen, J.-Z., Li, J.-P., Lin, J.: New optimal asymmetric quantum codes derived from negacyclic codes. Int. J. Theor. Phys. 53(1), 72\u201379 (2013). https:\/\/doi.org\/10.1007\/s10773-013-1784-z","journal-title":"Int. J. Theor. Phys."},{"issue":"2","key":"3680_CR27","doi-asserted-by":"publisher","first-page":"453","DOI":"10.1007\/s10773-017-3578-1","volume":"57","author":"Y Huang","year":"2017","unstructured":"Huang, Y., Chen, J., Feng, C., Chen, R.: Some families of asymmetric quantum MDS codes constructed from constacyclic codes. Int. J. Theor. Phys. 57(2), 453\u2013464 (2017). https:\/\/doi.org\/10.1007\/s10773-017-3578-1","journal-title":"Int. J. Theor. Phys."},{"issue":"6","key":"3680_CR28","doi-asserted-by":"publisher","first-page":"1829","DOI":"10.1007\/s10773-018-3708-4","volume":"57","author":"X Chen","year":"2018","unstructured":"Chen, X., Zhu, S., Kai, X.: Two classes of new optimal asymmetric quantum codes. Int. J. Theor. Phys. 57(6), 1829\u20131838 (2018). https:\/\/doi.org\/10.1007\/s10773-018-3708-4","journal-title":"Int. J. Theor. Phys."},{"issue":"4","key":"3680_CR29","doi-asserted-by":"publisher","first-page":"725","DOI":"10.1080\/03081087.2018.1432544","volume":"67","author":"J Chen","year":"2018","unstructured":"Chen, J., Huang, Y., Feng, C., Chen, R.: Some families of optimal quantum codes derived from constacyclic codes. Linear Multilinear Algebra 67(4), 725\u2013742 (2018). https:\/\/doi.org\/10.1080\/03081087.2018.1432544","journal-title":"Linear Multilinear Algebra"},{"issue":"2","key":"3680_CR30","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1007\/s11128-018-2156-7","volume":"18","author":"J Chen","year":"2019","unstructured":"Chen, J., Chen, Y., Huang, Y., Feng, C.: New optimal asymmetric quantum codes and quantum convolutional codes derived from constacyclic codes. Quantum Inf. Process. 18(2), 40 (2019). https:\/\/doi.org\/10.1007\/s11128-018-2156-7","journal-title":"Quantum Inf. Process."},{"issue":"12","key":"3680_CR31","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1007\/s11128-017-1748-y","volume":"16","author":"R Matsumoto","year":"2017","unstructured":"Matsumoto, R.: Two Gilbert\u2013Varshamov-type existential bounds for asymmetric quantum error-correcting codes. Quantum Inf. Process. 16(12), 285 (2017). https:\/\/doi.org\/10.1007\/s11128-017-1748-y","journal-title":"Quantum Inf. Process."},{"issue":"7","key":"3680_CR32","doi-asserted-by":"publisher","first-page":"192","DOI":"10.1007\/s11128-020-02691-9","volume":"19","author":"RB Christensen","year":"2020","unstructured":"Christensen, R.B., Geil, O.: On Steane-enlargement of quantum codes from Cartesian product point sets. Quantum Inf. Process. 19(7), 192 (2020). https:\/\/doi.org\/10.1007\/s11128-020-02691-9","journal-title":"Quantum Inf. Process."},{"issue":"5","key":"3680_CR33","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1007\/s12095-021-00489-9","volume":"13","author":"J Lv","year":"2021","unstructured":"Lv, J., Li, R., Yao, Y.: Quasi-cyclic constructions of asymmetric quantum error-correcting codes. Cryptogr. Commun. 13(5), 661\u2013680 (2021). https:\/\/doi.org\/10.1007\/s12095-021-00489-9","journal-title":"Cryptogr. Commun."},{"key":"3680_CR34","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511807077","volume-title":"Fundamentals of Error-Correcting Codes","author":"WC Huffman","year":"2003","unstructured":"Huffman, W.C., Pless, V.: Fundamentals of Error-Correcting Codes. Cambridge University Press, Cambridge (2003). https:\/\/doi.org\/10.1017\/CBO9780511807077"},{"key":"3680_CR35","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-48551-1","volume-title":"Quantum Error Correction","author":"GG LaGuardia","year":"2020","unstructured":"LaGuardia, G.G.: Quantum Error Correction. Springer International Publishing, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-48551-1"},{"issue":"1","key":"3680_CR36","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1016\/j.ffa.2007.07.001","volume":"14","author":"HQ Dinh","year":"2008","unstructured":"Dinh, H.Q.: On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions. Finite Fields Appl. 14(1), 22\u201340 (2008). https:\/\/doi.org\/10.1016\/j.ffa.2007.07.001","journal-title":"Finite Fields Appl."},{"issue":"2","key":"3680_CR37","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1109\/18.75249","volume":"37","author":"G Castagnoli","year":"1991","unstructured":"Castagnoli, G., Massey, J.L., Schoeller, P.A., von Seemann, N.: On repeated-root cyclic codes. IEEE Trans. Inf. Theory 37(2), 337\u2013342 (1991). https:\/\/doi.org\/10.1109\/18.75249","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"3680_CR38","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1109\/18.75250","volume":"37","author":"JH van Lint","year":"1991","unstructured":"van Lint, J.H.: Repeated-root cyclic codes. IEEE Trans. Inf. Theory 37(2), 343\u2013345 (1991). https:\/\/doi.org\/10.1109\/18.75250","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"1","key":"3680_CR39","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1109\/tit.1973.1054936","volume":"19","author":"JL Massey","year":"1973","unstructured":"Massey, J.L., Costello, D.J., Justesen, J.: Polynomial weights and code constructions. IEEE Trans. Inf. Theory 19(1), 101\u2013110 (1973). https:\/\/doi.org\/10.1109\/tit.1973.1054936","journal-title":"IEEE Trans. Inf. Theory"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-022-03680-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-022-03680-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-022-03680-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,9]],"date-time":"2022-11-09T12:15:56Z","timestamp":1667996156000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-022-03680-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,10,10]]},"references-count":39,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2022,10]]}},"alternative-id":["3680"],"URL":"https:\/\/doi.org\/10.1007\/s11128-022-03680-w","relation":{},"ISSN":["1573-1332"],"issn-type":[{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2022,10,10]]},"assertion":[{"value":"26 June 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 September 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 October 2022","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 have no competing interests to declare that are relevant to the content of this article.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"346"}}