Decoherence and time-resolved readout in superconducting Quantum Circuits:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Logos
2011
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| Schriftenreihe: | Augsburger Schriften zur Mathematik, Physik und Informatik
16 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | VII, 145 S. graph. Darst. |
| ISBN: | 9783832528461 |
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| 245 | 1 | 0 | |a Decoherence and time-resolved readout in superconducting Quantum Circuits |c vorgelegt von Georg Michael Reuther |
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
1 INTRODUCTION 1
2 SUPERCONDUCTING QUANTUM CIRCUITS 5
2.1 PRINCIPLE ASPECTS OF SUPERCONDUCTING CIRCUITS 5
2.1.1 SUPERCONDUCTIVITY 7
2.1.2 FLUX QUANTIZATION 7
2.2 QUANTIZATION OF ELECTRIC CIRCUITS 8
2.3 SUPERCONDUCTING RESONATORS AND OPEN TRANSMISSION LINES 10
2.3.1 TRANSMISSION LINE RESONATOR 10
2.3.2 OPEN TRANSMISSION LINE 12
2.4 SUPERCONDUCTING QUBITS 14
2.4.1 JOSEPHSON JUNCTIONS AS NON-LINEAR CIRCUIT ELEMENTS 14
2.4.2 COOPER-PAIR BOX 16
2.4.3 THREE-JUNCTION FLUX QUBIT 19
3 DECOHERENCE AND READOUT IN SUPERCONDUCTING CIRCUITS 23
3.1 DISPERSIVE QUBIT READOUT 23
3.1.1 JAYNES-CUMMINGS MODEL 24
3.1.2 DISPERSIVE LIMIT OF THE JAYNES-CUMMINGS MODEL 25
3.1.3 NON-INVASIVE QUBIT MEASUREMENTS 27
3.1.4 NON-INVASIVE READOUT SCHEMES FOR SUPERCONDUCTING QUBITS 28 3.2 THE
OPEN QUANTUM CIRCUIT 29
3.2.1 SYSTEM-ENVIRONMENT MODEL 29
3.2.2 QUANTUM LANGEVIN EQUATIONS 31
3.3 INPUT-OUTPUT FORMALISM 34
3.4 BLOCH-REDFIELD QUANTUM MASTER EQUATION 36
4 DISPERSIVE DYNAMICS IN THE CASE OF LARGE QUBITOSCILLATOR DETUNING 41
4.1 DISPERSIVE REGIME BEYOND RWA 42
4.2 SEVERAL QUBITS COUPLED TO AN OSCILLATOR 44
4.2.1 DISPERSIVE THEORY WITHIN RWA 45
4.2.2 DISPERSIVE THEORY BEYOND RWA 46
4.3 SUMMARY 47
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1010994840
DIGITALISIERT DURCH
IMAGE 2
CONFENTS
5 DISSIPATIVE TWO-RESONATOR CIRCUIT QUANTUM ELECTRODYNAMICS 49 5.1
DISSIPATIVE TWO-RESONATOR CIRCUIT 50
5.1.1 SYSTEM-BATH MODEL FOR THE TWO-RESONATOR CIRCUIT 50
5.1.2 QUANTUM MASTER EQUATION FOR THE TWO-RESONATOR CIRCUIT 54 5.1.3
QUBIT DECAY RATES 55
5.2 ANALYTICAL TREATMENT OF DECOHERENCE IN THE DISPERSIVE COUPLING
REGIME . . 56 5.2.1 DISPERSIVE HAMILTONIAN WITHIN ROTATING WAVE
APPROXIMATION: THE QUANTUM SWITCH 56
5.2.2 DISPERSIVE HAMILTONIAN BEYOND RWA 58
5.2.3 EFFECTIVE MASTER EQUATION FOR THE QUANTUM SWITCH SETUP 60 5.3 TEST
AGAINST NUMERICALLY EXACT RESULTS 63
5.3.1 RABI OSCILLATIONS 64
5.3.2 DECAY RATES OF THE TWO-RESONATOR SYSTEM 64
5.3.3 DECAY OF TWO-RESONATOR ENTANGLEMENT 69
5.3.4 EXTRACTING DECAY RATES FROM CORRELATION MEASUREMENTS 73 5.4
SUMMARY 74
6 TIME-RESOLVED MEASUREMENT OF COHERENT QUANTUM DYNAMICS 77 6.1
HIGH-FREQUENCY RESPONSE OF A QUANTUM SYSTEM 78
6.2 MEASUREMENT FIDELITY AND BACKACTION 81
6.3 MONITORING OF COHERENT QUBIT DYNAMICS AND ENTANGLEMENT TIME
EVOLUTION 83 6.3.1 DECAY OF A CHARGE QUBIT 83
6.3.2 LANDAU-ZENER OSCILLATIONS IN A CHARGE QUBIT 86
6.3.3 TWO-QUBIT ENTANGLEMENT 90
6.3.4 COLLECTIVE ATOMIC DYNAMICS 95
6.4 SUMMARY 96
7 TIME-RESOLVING QUBIT DYNAMICS VIA NON-LINEAR QUBIT-OSCILLATOR COUPLING
99 7.1 DISSIPATIVE QUBIT-OSCILLATOR MODEL IN THE DISPERSIVE COUPLING
LIMIT 100 7.1.1 SYSTEM-BATH MODEL 100
7.1.2 QUBIT-OSCILLATOR INTERACTION IN THE DISPERSIVE LIMIT 101
7.2 TIME-RESOLVED QUBIT MEASUREMENT VIA THE OSCILLATOR PHASE 103 7.2.1
OSCILLATOR RESPONSE TO RESONANT DRIVING 103
7.2.2 STATIC VERSUS DYNAMICAL PHASE SHIFT 106
7.3 MONITORING OF COHERENT QUBIT DYNAMICS 107
7.3.1 TIME-RESOLVED MEASUREMENT OF UNITARY QUBIT EVOLUTION 107 7.3.2
MEASUREMENT CHARACTERIZATION: FIDELITY AND BACK-ACTION 109
7.4 SUMMARY I LL
8 CONCLUSIONS AND OUTLOOK 113
A APPENDIX 117
IMAGE 3
CONTENTS
A.I RELAXATION AND PURE DEPHASING RATES OF THE QUBIT 117
A.2 DISPERSIVE SYSTEM-BATH COUPLING OPERATORS 119
A.3 EFFECTIVE QUANTUM MASTER EQUATION FOR THE TWO-RESONATOR SYSTEM 120
B APPENDIX 125
B.I SYSTEM-BATH HAMILTONIAN IN THE DISPERSIVE LIMIT 125
B.2 INPUT-OUTPUT FORMALISM FOR THE DRIVEN OSCILLATOR 127
REFERENCES OF PREVIOUS WORK 129
BIBLIOGRAPHY 131 |
| any_adam_object | 1 |
| author | Reuther, Georg Michael 1980- |
| author_GND | (DE-588)1012671712 |
| author_facet | Reuther, Georg Michael 1980- |
| author_role | aut |
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| author_variant | g m r gm gmr |
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| bvnumber | BV037432801 |
| classification_rvk | UK 1200 UP 3150 |
| ctrlnum | (OCoLC)725091449 (DE-599)DNB1010994840 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Thesis Book |
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| isbn | 9783832528461 |
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| spelling | Reuther, Georg Michael 1980- Verfasser (DE-588)1012671712 aut Decoherence and time-resolved readout in superconducting Quantum Circuits vorgelegt von Georg Michael Reuther Berlin Logos 2011 VII, 145 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Augsburger Schriften zur Mathematik, Physik und Informatik 16 Augsburg, Univ., Diss., 2011 Dissipatives System (DE-588)4209641-8 gnd rswk-swf Kohärenz (DE-588)4139923-7 gnd rswk-swf Quantenelektrodynamik (DE-588)4047982-1 gnd rswk-swf Quantenschaltung (DE-588)7731197-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantenschaltung (DE-588)7731197-8 s Dissipatives System (DE-588)4209641-8 s Kohärenz (DE-588)4139923-7 s Quantenelektrodynamik (DE-588)4047982-1 s DE-604 Augsburger Schriften zur Mathematik, Physik und Informatik 16 (DE-604)BV017601953 16 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3711638&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022584860&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Reuther, Georg Michael 1980- Decoherence and time-resolved readout in superconducting Quantum Circuits Augsburger Schriften zur Mathematik, Physik und Informatik Dissipatives System (DE-588)4209641-8 gnd Kohärenz (DE-588)4139923-7 gnd Quantenelektrodynamik (DE-588)4047982-1 gnd Quantenschaltung (DE-588)7731197-8 gnd |
| subject_GND | (DE-588)4209641-8 (DE-588)4139923-7 (DE-588)4047982-1 (DE-588)7731197-8 (DE-588)4113937-9 |
| title | Decoherence and time-resolved readout in superconducting Quantum Circuits |
| title_auth | Decoherence and time-resolved readout in superconducting Quantum Circuits |
| title_exact_search | Decoherence and time-resolved readout in superconducting Quantum Circuits |
| title_full | Decoherence and time-resolved readout in superconducting Quantum Circuits vorgelegt von Georg Michael Reuther |
| title_fullStr | Decoherence and time-resolved readout in superconducting Quantum Circuits vorgelegt von Georg Michael Reuther |
| title_full_unstemmed | Decoherence and time-resolved readout in superconducting Quantum Circuits vorgelegt von Georg Michael Reuther |
| title_short | Decoherence and time-resolved readout in superconducting Quantum Circuits |
| title_sort | decoherence and time resolved readout in superconducting quantum circuits |
| topic | Dissipatives System (DE-588)4209641-8 gnd Kohärenz (DE-588)4139923-7 gnd Quantenelektrodynamik (DE-588)4047982-1 gnd Quantenschaltung (DE-588)7731197-8 gnd |
| topic_facet | Dissipatives System Kohärenz Quantenelektrodynamik Quantenschaltung Hochschulschrift |
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