Mathematik und Quantum Computing
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Format: | Buch |
Sprache: | German |
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Berlin
Logos Verlag Berlin
[2018]
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MARC
LEADER | 00000nam a2200000 c 4500 | ||
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245 | 1 | 0 | |a Mathematik und Quantum Computing |c Burkhard Lenze |
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300 | |a 123 Seiten |b Illustrationen |c 25 cm | ||
336 | |b txt |2 rdacontent | ||
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650 | 0 | 7 | |a Quanteninformatik |0 (DE-588)4705961-8 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Quantencomputer |0 (DE-588)4533372-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Quantenteleportation |0 (DE-588)4523321-4 |2 gnd |9 rswk-swf |
653 | |a Quantum Computing | ||
653 | |a Shor Algorithmus | ||
653 | |a Grover Algorithmus | ||
653 | |a Quanten-Fourier-Transformation | ||
653 | |a Quantenkryptografie | ||
655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
689 | 0 | 0 | |a Quanteninformatik |0 (DE-588)4705961-8 |D s |
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689 | 0 | 2 | |a Quantenmechanik |0 (DE-588)4047989-4 |D s |
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0102 DAT 503f 2019 A 432 |
---|---|
DE-BY-TUM_katkey | 2380518 |
DE-BY-TUM_location | 01 |
DE-BY-TUM_media_number | 040008853129 |
_version_ | 1820871379952599040 |
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
|
any_adam_object | 1 |
author | Lenze, Burkhard 1959- |
author_GND | (DE-588)110573315 |
author_facet | Lenze, Burkhard 1959- |
author_role | aut |
author_sort | Lenze, Burkhard 1959- |
author_variant | b l bl |
building | Verbundindex |
bvnumber | BV045156751 |
classification_rvk | ST 152 |
classification_tum | DAT 503f |
ctrlnum | (OCoLC)1048585904 (DE-599)DNB1163286974 |
discipline | Informatik |
format | Book |
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genre | (DE-588)4123623-3 Lehrbuch gnd-content |
genre_facet | Lehrbuch |
id | DE-604.BV045156751 |
illustrated | Illustrated |
indexdate | 2024-12-24T06:50:58Z |
institution | BVB |
institution_GND | (DE-588)1065538812 |
isbn | 9783832547165 3832547169 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030546330 |
oclc_num | 1048585904 |
open_access_boolean | |
owner | DE-522 DE-703 DE-29T DE-573 DE-91G DE-BY-TUM DE-862 DE-BY-FWS DE-83 |
owner_facet | DE-522 DE-703 DE-29T DE-573 DE-91G DE-BY-TUM DE-862 DE-BY-FWS DE-83 |
physical | 123 Seiten Illustrationen 25 cm |
publishDate | 2018 |
publishDateSearch | 2018 |
publishDateSort | 2018 |
publisher | Logos Verlag Berlin |
record_format | marc |
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 |
url | http://d-nb.info/1163286974/04 http://deposit.dnb.de/cgi-bin/dokserv?id=94e096e48a7643a593aa0243ba37ea5e&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030546330&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT lenzeburkhard mathematikundquantumcomputing AT logosverlagberlin mathematikundquantumcomputing |