LEADER 05101nam 22008055 450 001 9910424948503321 005 20251113182650.0 010 $a981-15-5191-X 024 7 $a10.1007/978-981-15-5191-8 035 $a(CKB)4100000011515570 035 $a(DE-He213)978-981-15-5191-8 035 $a(MiAaPQ)EBC6381426 035 $a(Au-PeEL)EBL6381426 035 $a(OCoLC)1243546856 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/63693 035 $a(PPN)253256798 035 $a(ODN)ODN0010070856 035 $a(oapen)doab63693 035 $a(EXLCZ)994100000011515570 100 $a20201022d2021 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInternational Symposium on Mathematics, Quantum Theory, and Cryptography $eProceedings of MQC 2019 /$fedited by Tsuyoshi Takagi, Masato Wakayama, Keisuke Tanaka, Noboru Kunihiro, Kazufumi Kimoto, Yasuhiko Ikematsu 205 $a1st ed. 2021. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2021. 215 $a1 online resource (XII, 274 p. 83 illus., 24 illus. in color.) 225 1 $aMathematics for Industry,$x2198-3518 ;$v33 311 08$a981-15-5190-1 327 $aSustainable Cryptography -- What Kind of Insight Provide Analytical Solutions of Quantum Models? -- Emerging Ultrastrong Coupling between Light and Matter Observed in Circuit Quantum Electrodynamics -- Quantum Random Numbers Generated by a Cloud Superconducting Quantum Computer -- Quantum Factoring Algorithm: Resource Estimation and Survey of Experiments -- A Review of Secret Key Distribution Based on Bounded Observability -- Towards Constructing Fully Homomorphic Encryption without Ciphertext Noise from Group Theory -- Number Theoretic Study in Quantum Interactions -- From the Bloch Sphere to Phase Space Representations with the Gottesman-Kitaev-Preskill Encoding -- A Data Concealing Technique with Random Noise Disturbance and A Restoring Technique for the Concealed Data by Stochastic Process Estimation. 330 $aThis open access book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure modeling of the post quantum cryptography including e.g. mathematical study of the light-matter interaction models as well as quantum computing. The security of the most widely used RSA cryptosystem is based on the difficulty of factoring large integers. However, in 1994 Shor proposed a quantum polynomial time algorithm for factoring integers, and the RSA cryptosystem is no longer secure in the quantum computing model. This vulnerability has prompted research into post-quantum cryptography using alternative mathematical problems that are secure in the era of quantum computers. In this regard, the National Institute of Standards and Technology (NIST) began to standardizepost-quantum cryptography in 2016. This book is suitable for postgraduate students in mathematics and computer science, as well as for experts in industry working on post-quantum cryptography. 410 0$aMathematics for Industry,$x2198-3518 ;$v33 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aData structures (Computer science) 606 $aInformation theory 606 $aQuantum computers 606 $aData protection 606 $aMathematical and Computational Engineering Applications 606 $aData Structures and Information Theory 606 $aQuantum Computing 606 $aData and Information Security 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aData structures (Computer science) 615 0$aInformation theory. 615 0$aQuantum computers. 615 0$aData protection. 615 14$aMathematical and Computational Engineering Applications. 615 24$aData Structures and Information Theory. 615 24$aQuantum Computing. 615 24$aData and Information Security. 676 $a519 686 $aCOM031000$aCOM053000$aSCI057000$aTEC009000$2bisacsh 700 $aTakagi$b Tsuyoshi$4edt$01354919 702 $aTakagi$b Tsuyoshi$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aWakayama$b Masato$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aTanaka$b Keisuke$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKunihiro$b Noboru$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKimoto$b Kazufumi$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aIkematsu$b Yasuhiko$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910424948503321 996 $aInternational Symposium on Mathematics, Quantum Theory, and Cryptography$93358688 997 $aUNINA