Mathematik und Quantum Computing

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1. Verfasser: Lenze, Burkhard 1959- (VerfasserIn)
Format: Buch
Sprache:German
Veröffentlicht: Berlin Logos Verlag Berlin [2018]
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Datensatz im Suchindex

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adam_text INHALTSVERZEICHNIS 1 ALLGEMEINE EINFUEHRUNG 7 2 MATHEMATISCHE GRUNDLAGEN 11 2.1 EINFUEHRUNG........................................................................................................................................ 11 2.2 ZAHLENMENGEN.................................................................................................................................. 11 2.3 KOMPLEXE ZAHLEN.............................................................................................................................. 11 2.4 VEKTOREN UND MATRIZEN ..................................................................................................................... 12 2.5 EIGENSCHAFTEN VON VEKTOREN............................................................................................................. 13 2.6 MATRIZENMULTIPLIKATION..................................................................................................................... 14 2.7 EIGENWERTE UND EIGENVEKTOREN......................................................................................................... 15 2.8 HERMITESCHE UND UNITAERE M ATRIZEN................................................................................................... 15 2.9 TENSORPRODUKTE VON VEKTOREN UND M ATRIZEN.................................................................................... 16 2.10 HOUSEHOLDER-TRANSFORMATION........................................................................................................... 17 2.11 DISKRETE FOURIER-TRANSFORMATION..................................................................................................... 18 3 QUANTENMECHANISCHER UEBERBLICK 19 4 BITS UND QUBITS 23 4.1 EINFUEHRUNG........................................................................................................................................ 23 4.2 KLASSISCHE B ITS.................................................................................................................................. 23 4.3 QUANTENMECHANISCHE QUBITS............................................................................................................. 23 4.4 KLASSISCHE BYTES .............................................................................................................................. 25 4.5 QUANTENMECHANISCHE Q UBYTES......................................................................................................... 26 4.6 AUFGABEN MIT L OESUNGEN................................................................................................................... 28 5 KLASSISCHE GATTER UND QUANTENGATTER 31 5.1 EINFUEHRUNG........................................................................................................................................ 31 5.2 KLASSISCHE G ATTER.............................................................................................................................. 31 5.3 QUANTENGATTER.................................................................................................................................... 33 5.4 AUFGABEN MIT L OESUNGEN................................................................................................................... 37 6 NO-CLONING-THEOREM VERSUS QUANTENTELEPORTATION 41 6.1 EINFUEHRUNG........................................................................................................................................ 41 6.2 NO-CLONING-THEOREM ....................................................................................................................... 41 6.3 QUANTENTELEPORTATION........................................................................................................................ 42 6.4 FAZIT.................................................................................................................................................... 46 6.5 AUFGABEN MIT LOESUNGEN . .................................................................................................................. 46 7 HOLEVO-SCHRANKE VERSUS DICHTE CODIERUNG 47 7.1 EINFUEHRUNG........................................................................................................................................ 47 7.2 HOLEVO-SCHRANKE.............................................................................................................................. 47 7.3 DICHTE CODIERUNG.............................................................................................................................. 47 7.4 FAZIT.................................................................................................................................................... 49 7.5 AUFGABEN MIT L OESUNGEN................................................................................................................... 50 8 ALGORITHMUS VON DEUTSCH 51 8.1 EINFUEHRUNG........................................................................................................................................ 51 8.2 ALGORITHMUS VON D EUTSCH................................................................................................................. 51 8.3 FAZIT.................................................................................................................................................... 54 8.4 AUFGABEN MIT L OESUNGEN................................................................................................................... 54 9 ALGORITHMUS VON GROVER 57 9.1 EINFUEHRUNG......................................................................................................................................... 57 9.2 ALGORITHMUS VON G ROVER.................................................................................................................... 57 9.3 FAZIT..................................................................................................................................................... 63 9.4 AUFGABEN MIT L OESUNGEN.................................................................................................................... 64 10 QUANTEN-FOURIER-TRANSFORMATION 67 10.1 EINFUEHRUNG......................................................................................................................................... 67 10.2 QUANTEN-FOURIER-TRANSFORMATION...................................................................................................... 67 10.3 FAZIT..................................................................................................................................................... 74 10.4 AUFGABEN MIT L OESUNGEN.................................................................................................................... 74 11 QUANTEN-ADDIERER AUF QFT-BASIS 79 11.1 EINFUEHRUNG......................................................................................................................................... 79 11.2 QUANTEN-ADDIERER AUF QFT-BASIS...................................................................................................... 79 11.3 FAZIT..................................................................................................................................................... 86 11.4 AUFGABEN MIT L OESUNGEN.................................................................................................................... 86 12 ALGORITHMUS VON SHOR 89 12.1 EINFUEHRUNG......................................................................................................................................... 89 12.2 ALGORITHMUS VON S H O R........................................................................................................................ 94 12.3 FAZIT..................................................................................................................................................... 105 12.4 AUFGABEN MIT L OESUNGEN.................................................................................................................... 105 1 3 QUANTENKRYPTOGRAFIE 109 13.1 EINFUEHRUNG......................................................................................................................................... 109 13.2 QUANTENKRYPTOGRAFIE.......................................................................................................................... 109 13.3 FAZIT..................................................................................................................................................... 113 13.4 AUFGABEN MIT L OESUNGEN.................................................................................................................... 113 14 RESUEMEE UND AUSBLICK 115 LITERATURVERZEICHNIS 117 SACH-INDEX 119 NAMEN-INDEX 121 MATHE-INDEX 123
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spellingShingle Lenze, Burkhard 1959-
Mathematik und Quantum Computing
Quantenmechanik (DE-588)4047989-4 gnd
Quanteninformatik (DE-588)4705961-8 gnd
Quantencomputer (DE-588)4533372-5 gnd
Quantenteleportation (DE-588)4523321-4 gnd
subject_GND (DE-588)4047989-4
(DE-588)4705961-8
(DE-588)4533372-5
(DE-588)4523321-4
(DE-588)4123623-3
title Mathematik und Quantum Computing
title_auth Mathematik und Quantum Computing
title_exact_search Mathematik und Quantum Computing
title_full Mathematik und Quantum Computing Burkhard Lenze
title_fullStr Mathematik und Quantum Computing Burkhard Lenze
title_full_unstemmed Mathematik und Quantum Computing Burkhard Lenze
title_short Mathematik und Quantum Computing
title_sort mathematik und quantum computing
topic Quantenmechanik (DE-588)4047989-4 gnd
Quanteninformatik (DE-588)4705961-8 gnd
Quantencomputer (DE-588)4533372-5 gnd
Quantenteleportation (DE-588)4523321-4 gnd
topic_facet Quantenmechanik
Quanteninformatik
Quantencomputer
Quantenteleportation
Lehrbuch
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