Coherent control of quantum information systems:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2014
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 141 S. graph. Darst. |
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Datensatz im Suchindex
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| adam_text | ULM UNIVERSITY UNIVERSITAT
ON30
UNIVERSITAT I
UULM
UNIVERSITAT ULM | 89069 ULM | GERMANY FAKULTAT FUR NATURWISSENSCHAFTEN
INSTITUT FIIR QUANTENINFORMATIONSVERAXBEITUNG
COHERENT CONTROL OF
QUANTUM INFORMATION SYSTEMS
DISSERTATION ZUR ERLANGUNG DES DOKTORGRADES DR. RER. NAT.
DER FAKULTAT FIIR NATURWISSENSCHAFTEN DER UNIVERSITAT ULM
VORGELEGT VON:
MATTHIAS MANUEL MIILLER
AUS SAULGAU, JETZT BAD SAULGAU
2014
HTTP://D-NB.INFO/1065323530
CONTENTS
1. INTRODUCTION 1
1.1. QUANTUM INFORMATION 1
1.2. OPTIMAL CONTROL 3
1.2.1. GENERAL 3
STATE TO STATE TRANSFORMATION 4
QUANTUM GATES 5
REFORMULATING IN TERMS OF FIDELITY 5
1.2.2. GRADIENT ALGORITHMS 6
KROTOV
8
GRAPE 10
NEWTON 10
1.2.3. CRAB 11
CONTROL LANDSCAPES AND CRAB 13
1.3. NUMERICAL METHODS, MPS 16
1.3.1. IDEA AND STATE REPRESENTATION 16
1.3.2. OPERATORS AND TIME EVOLUTION 18
1.3.3. NORM AND PRECISION 21
1.3.4. MPS EXAMPLES 22
2. OPTIMIZATION OF TWO-QUBIT OPERATIONS IN RYDBERG PHASE GATES 25
2.1. SYSTEM SETUP 25
2.1.1. HAMILTONIAN FOR THE RYDBERG GATE 27
2.1.2. EFFECTIVE TWO-LEVEL SYSTEM DYNAMICS 28
2.1.3. POSSIBLE GATE OPERATIONS 29
2.2. SIMPLE OPTIMIZATION 30
2.2.1. GATE OPERATION IN FULL 31
2.2.2. OPTIMIZATION OF THE GATE 33
SIMULATION 33
OPTIMIZATION METHOD 33
2.2.3. EXPERIMENTAL CONSIDERATIONS 35
LEVEL DESCRIPTION 35
CORRESPONDENCE TO EXPERIMENTAL RESULTS 36
TYPICAL EXPERIMENTAL PARAMETERS 37
OPTIMIZING THE GATE FOR THE EXPERIMENT 38
V
CONTENTS
MOVEMENT OF THE ATOMS IN THE LIGHT-FIELD 40
2.2.4. SUMMARY 41
2.3. KROTOV PULSE SHAPING 45
2.3.1. TACKLING THE CONTROL PROBLEM 45
2.3.2. LIMITS FOR THE DURATION OF OPTIMAL GATES 47
2.3.3. MINIMIZING SPONTANEOUS EMISSION: ADIABATIC PULSE SEQUENCE . 48
2.3.4. IGNORING SPONTANEOUS EMISSION: RABI FLOP SEQUENCE 50
2.4. SUMMARY 51
3. NONLOCAL OPTIMIZATION OF TWO-QUBIT GATES 55
3.1. THEORY OF NONLOCAL OPERATIONS 56
3.1.1. THE LOCAL INVARIANTS 56
3.1.2. GEOMETRIC INTERPRETATION OF THE GATE DECOMPOSITION 58
3.1.3. PERFECT ENTANGLERS 59
3.1.4. UNIVERSAL QUANTUM GATES 60
3.2. OPTIMIZATION AND FIDELITY 63
3.2.1. STANDARD OPTIMIZATION - FIDELITY FUNCTIONS 63
3.2.2. FIDELITY FUNCTIONS FOR LOCAL EQUIVALENCE CLASSES 64
DISTANCE BETWEEN TWO GATES 64
3.2.3. LOCAL EQUIVALENCE CLASS OPTIMIZATION 69
TWO WAYS TO ADDRESS THE PROBLEM 69
TARGET FUNCTION FOR LOCAL EQUIVALENCE CLASS OPTIMIZATION - P-SPACE 70
TARGET FUNCTION FOR LOCAL EQUIVALENCE CLASS OPTIMIZATION - C-SPACE 71
3.2.4. ALGORITHM TO OPTIMIZE WITH RESPECT TO THE POLYHEDRON OF PER
FECT ENTANGLERS 71
ALGORITHM FOR PERFECT ENTANGLER OPTIMIZATION IN G-SPACE ... 73
ALGORITHM FOR PERFECT ENTANGLER OPTIMIZATION IN C-SPACE ... 73
3.3. APPLICATION TO THE RYDBERG PHASE GATE 74
3.3.1. ANALYSIS OF NONLOCAL PARTS OF A DIAGONAL GATE 74
3.3.2. RESULTS FROM OPTIMAL CONTROL 76
3.3.3. SUMMARY 81
3.4. PERFECT ENTANGLERS 82
3.4.1. THE METHOD - FIDELITY OPTIMIZATION WITH CRAB 82
3.4.2. NV-CENTERS IN DIAMOND 83
ACCESSIBLE PART OF THE WEYL CHAMBER 84
3.4.3. JOSEPHSON CHARGE QUBITS 87
RESULTS 87
3.4.4. TRANSMON QUBITS 90
RESULTS 94
3.5. SUMMARY 94
VI
CONTENTS
4. ROOM-TEMPERATURE RYDBERG SINGLE-PHOTON SOURCE 97
4.1. SYSTEM SETUP 99
4.2. STATE PREPARATION 100
4.3. RESULTS 101
4.4. SUMMARY 108
5. PHONON SPIN MAPPING 109
5.1. CONTROLLABILITY 110
5.2. THE SYSTEM 110
5.2.1. HAMILTONIAN ILL
OFF-RESONANT TERMS - STARK SHIFT 112
5.2.2. THE MAPPING SCHEME 113
5.2.3. FIDELITY FUNCTION 113
5.2.4. SIMULATION AND PARAMETERS 114
5.3. THE POINCARE RECURRENCE TIME 115
5.4. OPTIMIZATION 116
5.4.1. CONTROL WITH THREE PULSES 118
STABILITY OF THE SOLUTION 120
5.4.2. CONTROL WITH TWO PULSES 121
5.5. THE INFLUENCE OF TRAPS AND CRAB SUPERITERATIONS 123
5.6. SUMMARY 124
6. CONCLUSIONS AND OUTLOOK 127
6.1. CONCLUSIONS 127
6.2. OUTLOOK 128
A. ROTATING WAVE APPROXIMATION 129
ROTATING FRAME FOR MULTIPLE QUBITS 129
B. PUBLICATIONS 131
VII
|
| any_adam_object | 1 |
| author | Müller, Matthias Manuel |
| author_GND | (DE-588)1065461739 |
| author_facet | Müller, Matthias Manuel |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
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| spelling | Müller, Matthias Manuel Verfasser (DE-588)1065461739 aut Coherent control of quantum information systems vorgelegt von Matthias Manuel Müller 2014 VII, 141 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ulm, Univ., Diss., 2014 Quantentheorie Quantum theory Quanteninformatik (DE-588)4705961-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quanteninformatik (DE-588)4705961-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027951574&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Müller, Matthias Manuel Coherent control of quantum information systems Quantentheorie Quantum theory Quanteninformatik (DE-588)4705961-8 gnd |
| subject_GND | (DE-588)4705961-8 (DE-588)4113937-9 |
| title | Coherent control of quantum information systems |
| title_auth | Coherent control of quantum information systems |
| title_exact_search | Coherent control of quantum information systems |
| title_full | Coherent control of quantum information systems vorgelegt von Matthias Manuel Müller |
| title_fullStr | Coherent control of quantum information systems vorgelegt von Matthias Manuel Müller |
| title_full_unstemmed | Coherent control of quantum information systems vorgelegt von Matthias Manuel Müller |
| title_short | Coherent control of quantum information systems |
| title_sort | coherent control of quantum information systems |
| topic | Quantentheorie Quantum theory Quanteninformatik (DE-588)4705961-8 gnd |
| topic_facet | Quantentheorie Quantum theory Quanteninformatik Hochschulschrift |
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