LEADER 03110nam 22005415 450 001 9910799486003321 005 20240103075405.0 010 $a3-658-43203-9 024 7 $a10.1007/978-3-658-43203-4 035 $a(CKB)29526971900041 035 $a(DE-He213)978-3-658-43203-4 035 $a(MiAaPQ)EBC31094037 035 $a(Au-PeEL)EBL31094037 035 $a(MiAaPQ)EBC31094035 035 $a(Au-PeEL)EBL31094035 035 $a(EXLCZ)9929526971900041 100 $a20240103d2023 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCharacterizing Multiparticle Entanglement Using the Schmidt Decomposition of Operators /$fby Sophia Denker 205 $a1st ed. 2023. 210 1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2023. 215 $a1 online resource (VIII, 102 p. 20 illus., 19 illus. in color. Textbook for German language market.) 225 1 $aBestMasters,$x2625-3615 311 08$a9783658432027 327 $aIntroduction -- Physical and mathematical background -- OSD witnesses for bipartite states -- The OSD witness for the multipartite case -- Schmidt number witnesses -- Conclusion and outlook. 330 $aCharacterizing entanglement is an important issue in quantum information, as it is considered to be a resource for many applications such as quantum key distribution or quantum metrology. One useful tool to detect and quantify entanglement are witness operators. A standard way to construct them is based on the fidelity of pure states and mathematically relies on the Schmidt decomposition of vectors. In this book a method to build entanglement witnesses using the Schmidt decomposition of operators is presented. One can show that these are strictly stronger than the fidelity witnesses. Moreover, the concept can be generalized easily to the multipartite case, and one may use it to quantify the dimensionality of entanglement. Finally, this scheme will be used to provide two algorithms that can be combined to improve given witnesses for multiparticle entanglement. About the author Sophia Denker studied physics at the University of Siegen. Now she is investigating concepts of high dimensional entanglement under the tutelage of Prof. Dr. Otfried Gühne. Her master thesis was awarded with the ?Studienpreis des Landkreises Altenkirchen 2023?. 410 0$aBestMasters,$x2625-3615 606 $aQuantum physics 606 $aQuantum computing 606 $aQuantum Physics 606 $aQuantum Information 615 0$aQuantum physics. 615 0$aQuantum computing. 615 14$aQuantum Physics. 615 24$aQuantum Information. 676 $a530.12 700 $aDenker$b Sophia$4aut$4http://id.loc.gov/vocabulary/relators/aut$01588329 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910799486003321 996 $aCharacterizing Multiparticle Entanglement Using the Schmidt Decomposition of Operators$93877787 997 $aUNINA