Entangled qubit pairs:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2002
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | München, Univ., Fak. für Physik, Diss., 2002 |
| Beschreibung: | 102 S. |
Internformat
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Datensatz im Suchindex
| _version_ | 1812460527660564480 |
|---|---|
| adam_text |
CONTGNTS
1 INTRODUCTION 3
1.1 OVERVIEW OF THE THESIS. 5
1.2 SOME ALGEBRAIC NOTATIONS. 6
1.3 SEPARABLE AND ENTANGLED 2-QUBIT STATES. 11
1.4
PERES-HORODECCY CRITERION .
12
2 KINEMATICS OF QUBIT PAIRS 15
2.1 REPRESENTATION OF STATISTICAL OPERATORS. 15
2.2 INVARIANTS UNDER LOCAL TRANSFORMATIONS . 16
2.3 GENERIC FORM OF A PURE STATE. 17
2.4
GENERIC FORM OF A
2-QUBIT
STATE . 19
2.5 FAMILIES OF 2-QUBIT STATES. 20
2.5.1 CLASSES OF FAMILIES OF LOCALLY EQUIVALENT STATES . 21
3 POSITIVITY AND SEPARABILITY 25
3.1 A SEPARABILITY CRITERION. 25
3.2 SEPARABILITY AND THE CROSS DYADIC. 28
3.3 EXAMPLES. 29
4 LEWENSTEIN-SANPERA DECOMPOSITIONS 31
4.1 BASIC PROPERTIES OF OPTIMAL LSDS. 33
4.2 OPTIMAL LSDS OF TRULY POSITIVE STATES. 35
4.2.1 THE SEPARABLE PART HAS FULL RANK. 36
4.2.2 THE SEPARABLE PART HAS REDUCED RANK . . 39
4.2.3
SUMMARY
.
40
4.3 EXAMPLES. 41
4.3.1 SELF-TRANSPOSED STATES. 41
4.3.2 GENERALIZED WERNER STATES. 43
4.3.3 STATES OF RANK 2. 47
4.3.4 STATES OF RANK "2+2". 57
4.3.5 STATES OF RANK 3. 58
4.3.6 STATES OF RANK 4. 63
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/964981971
2
CONTENTS
5 OPTIMALITY OF DECOMPOSITIONS 67
5.1 INFINITESIMAL CHANGES AND OPTIMALITY. 67
5.1.1 INFINITESIMAL UNITARY TRANSFORMATIONS. 67
5.1.2 CHECKING THE OPTIMALITY OF A DECOMPOSITION . 69
5.1.3 EXAMPLES. 71
6 PURIFICATION AND DEGREE OF SEPARABILITY 75
6.1 INTRODUCTION. 75
6.2 LOCAL UNITARY TRANSFORMATION. 76
6.3 IBM PROTOCOL. 77
6.4 OXFORD PROTOCOL. 78
6.4.1 SEPARABILITY AND PURIFICATION. 80
6.4.2 DISCUSSION. 82
7 SUMMARY 85
A SOME SEPARABILITY CRITERIA 89
A.L BELL INEQUALITIES. 89
A.2 RENF INEQUALITIES . 90
A.3 THE REDUCTION CRITERION. 90
A.4 POSITIVE PARTIAL TRANSPOSE. 91
A.5 VOLUME OF SEPARABLE STATES. 91
B SOME ENTANGLEMENT MEASURES
B.L MEASURES FOR PURE STATES.
B.2 MEASURES FOR MIXED STATES.
B.2.1 ENTANGLEMENT OF FORMATION .
B.2.2 ENTANGLEMENT OF DISTILLATION:
93
93
93
94
C INFINITESIMAL CHANGES 97
C.L WERNER STATE. 97
C.2 2-QUBIT STATE. 98 |
| any_adam_object | 1 |
| author | Nasser Metwally, Aly Mohamed |
| author_facet | Nasser Metwally, Aly Mohamed |
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| author_sort | Nasser Metwally, Aly Mohamed |
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| indexdate | 2024-10-09T18:04:14Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009907864 |
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| physical | 102 S. |
| publishDate | 2002 |
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| spelling | Nasser Metwally, Aly Mohamed Verfasser aut Entangled qubit pairs von Aly Mohamed Nasser Metwally 2002 102 S. txt rdacontent n rdamedia nc rdacarrier München, Univ., Fak. für Physik, Diss., 2002 Hochschulschrift gtt Verschränkter Zustand (DE-588)4409616-1 gnd rswk-swf Quantencomputer (DE-588)4533372-5 gnd rswk-swf Bit (DE-588)4145760-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantencomputer (DE-588)4533372-5 s Bit (DE-588)4145760-2 s Verschränkter Zustand (DE-588)4409616-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009907864&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nasser Metwally, Aly Mohamed Entangled qubit pairs Hochschulschrift gtt Verschränkter Zustand (DE-588)4409616-1 gnd Quantencomputer (DE-588)4533372-5 gnd Bit (DE-588)4145760-2 gnd |
| subject_GND | (DE-588)4409616-1 (DE-588)4533372-5 (DE-588)4145760-2 (DE-588)4113937-9 |
| title | Entangled qubit pairs |
| title_auth | Entangled qubit pairs |
| title_exact_search | Entangled qubit pairs |
| title_full | Entangled qubit pairs von Aly Mohamed Nasser Metwally |
| title_fullStr | Entangled qubit pairs von Aly Mohamed Nasser Metwally |
| title_full_unstemmed | Entangled qubit pairs von Aly Mohamed Nasser Metwally |
| title_short | Entangled qubit pairs |
| title_sort | entangled qubit pairs |
| topic | Hochschulschrift gtt Verschränkter Zustand (DE-588)4409616-1 gnd Quantencomputer (DE-588)4533372-5 gnd Bit (DE-588)4145760-2 gnd |
| topic_facet | Hochschulschrift Verschränkter Zustand Quantencomputer Bit |
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| work_keys_str_mv | AT nassermetwallyalymohamed entangledqubitpairs |