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| − | __NOTOC__
| + | http://physics.bme.hu/BMETE15MF60_kov?language=en |
| − | =Quantum Computing Architectures=
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| − | ==Course Information, 2018==
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| − | *'''Lecturers:''' András Pályi, Péter Makk
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| − | *'''Responsible lecturer:''' András Pályi
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| − | *'''Language:''' English
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| − | *'''Location:''' building H, room H601
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| − | *'''Time:''' Wednesdays, 12:15-13:45
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| − | *'''Schedule:''' first lecture: Sep 5; no lecture on Sep 12, Sep 26, Oct 10, and nov 14; last lecture: Dec 5.
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| − | *'''Neptun Code:''' BMETE15MF60
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| − | *'''Credits:''' 3
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| − | *'''Exam:''' Short written test + oral exam. Dates: Dec 17, Jan 7, Jan 14, Jan 21. Exams start at 8:00am.
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| − | | + | |
| − | ==Slides==
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| − | | + | |
| − | Lecture 1: [[:File:Lecture01.pdf]]<br />
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| − | Lecture 2: [[:File:Lecture02.pdf]]<br />
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| − | Lecture 3: [[:File:Lecture03.pdf]]<br />
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| − | Lecture 4: [[:File:Lecture04.pdf]]<br />
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| − | Lecture 5: [[:File:Lecture05.pdf]]<br />
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| − | Lecture 6: [[:File:Lecture6.pdf]]<br />
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| − | Lecture 7: [[:File:Lecture07.pdf]]<br />
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| − | Lecture 8: [[:File:Lecture08.pdf]]<br />
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| − | Lecture 9: [[:File:Lecture09.pdf]]<br />
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| − | Lecture 10: [[:File:Lecture10.pdf]]<br />
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| − | Control questions, exercises (Dec. 12, 2018): [[:File:ControlQuestionsExercises-v7.pdf]]
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| − | | + | |
| − | ==Syllabus== | + | |
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| − | *'''1. Quantum bits'''
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| − | Qubits, dynamics, measurement, polarization vector, composite systems, logical gates, circuits, algorithms.
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| − | *'''2. Control of quantum systems.'''
| + | |
| − | Hamiltonians, propagators, and quantum gates. Larmor precession, Rabi oscillations, dispersive resonator shift in the Jaynes-Cummings model, exchange interaction, virtual photon exchange.
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| − | | + | |
| − | *'''3. Qubits based on the electron spin. '''
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| − | Quantum dots, energy scales. Interactions: Zeeman, spin-orbit, hyperfine, electron-phonon, electron-electron.
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| − | | + | |
| − | *'''4. Coherent control of electron spins. '''
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| − | Single-qubit gates: magnetic resonance, electrically driven spin resonance. Two-qubit gates: sqrt-of-swap via exchange interaction, CPhase. Error mechanisms during qubit control.
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| − | | + | |
| − | *'''5. Information loss mechanisms for electron spins.'''
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| − | Qubit relaxation due to spin-orbit interaction and phonons. Qubit dephasing due to nuclear spins. Decoherence due to charge noise. Hahn echo and Car-Purcell-Meibloom-Gill (CPMG) schemes for prolonging the decoherence time.
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| − | | + | |
| − | *'''6. Introduction to superconductivity. '''
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| − | Basics of superconductivity. Josephson junctions. Current-phase and voltage-phase Josephson relations. Andreev reflection. Andreev Bound State picture of the current-phase Josephson relation.
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| − | | + | |
| − | *'''7. Josephson devices. '''
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| − | Resistively and capacitively shunted junction (RCSJ) model, junction dynamics, switching voltages, macroscopic quantum tunnelling, Superconducting Quantum Interference Device (SQUID), Fraunhofer pattern, spatial distribution of the Josephson current, radiofrequency (RF) SQUID.
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| − | *'''8. Control and readout of single qubits.'''
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| − | Quantization of RF circuits, phase and charge as conjugate variables. Different qubit architectures: flux, charge, phase. Single-qubit gates and readout.
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| − | | + | |
| − | *'''9. Information loss in superconducting qubits.'''
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| − | Experiments on single qubits. Deceoherence in qubits, sweet spots. Transmon as a noise-resistant qubit architecture.
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| − | | + | |
| − | *'''10. Circuit quantum electrodynamics.'''
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| − | Superconducting resonators and their interaction with a transmon qubit. Strong coupling in
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| − | circuit quantum electrodynamics. Single-qubit gates and dispersive readout via the resonator.
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| − | | + | |
| − | *'''11. Entanglement in superconducting qubits. '''
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| − | Two-qubit coupling mechanisms: capacitive, resonator-based. Two-qubit gates. State tomography, Bell inequalities.
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| − | | + | |
| − | *'''12. Multi-qubit devices.'''
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| − | Realization of basic quantum algorithms. Error correction: repetition code, surface code.
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| − | *'''13. Overview of current research directions. '''
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| − | Quantum simulation. Intermediate-scale quantum computers (Google, IBM, Intel, D-Wave).
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| − | | + | |
| − | ==Literature==
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| − | *T. Ihn: Semiconducting nanosctructures, Oxford University Press, 2010.
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| − | *Y.V. Nazarov, Y.M. Blanter: Quantum Transport: Introduction to Nanoscience, Cambridge University Press, 2009.
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| − | *Zwanenburg et al., Rev. Mod. Phys. 85, 961 (2013)
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| − | *[[Nanofizika tudásbázis]]
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