Verfügbarkeit: Coherent control of quantum information systems

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Titel:	Coherent control of quantum information systems
Von:	vorgelegt von Matthias Manuel Müller
Person:	Müller, Matthias Manuel Verfasser aut
Hauptverfasser:	Müller, Matthias Manuel (VerfasserIn)
Format:	Abschlussarbeit Buch
Sprache:	Englisch
Veröffentlicht:	2014
Schlagworte:	Quantentheorie Quantum theory Quanteninformatik Hochschulschrift
Online-Zugang:	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
Beschreibung:	VII, 141 S. graph. Darst.

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Datensatz im Suchindex

DE-BY-UBR_call_number	24/U17248
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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
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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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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
url	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
work_keys_str_mv	AT mullermatthiasmanuel coherentcontrolofquantuminformationsystems

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