Quantum information processing with tunable and low-loss superconducting circuits
Doktorsavhandling, 2020
Using our high-coherence circuits, we implemented a quantum processor built on fixed-frequency qubits and frequency-tunable couplers. The tunable couplers were lumped-element LC resonators, where the inductance came from a superconducting quantum interference device (SQUID). We achieved a controlled-phase gate with a fidelity of 99% by parametric modulation of the coupler frequency. Using this device, and another similar to it, we demonstrated two different quantum algorithms, the quantum approximate optimization algorithm, and density matrix exponentiation. We achieved high algorithmic fidelities, aided by our carefully calibrated gates.
Additionally, we researched parametric oscillations using frequency-tunable resonators. Previously, degenerate parametric oscillations have been demonstrated by modulation of the resonant frequency at twice that frequency. We use this phenomenon to implement a readout method for a superconducting qubit with a fidelity of 98.7%.
We demonstrated correlated radiation in nondegenerate parametric oscillations by modulating at the sum of two resonant frequencies of a multimode resonator. We showed an excellent quantitative agreement between the classical properties of the oscillations with a theoretical model. Moreover, we studied higher-order modulation at up to five times their resonant frequencies. These types of parametric oscillation states might be used as a quantum resource for continuous-variable quantum computing.
parametric modulation
quantum information
high coherence
superconducting circuits
circuit quantum electrodynamics
Författare
Andreas Bengtsson
Chalmers, Mikroteknologi och nanovetenskap, Kvantteknologi
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M. Kjaergaard, M. E. Schwartz, A. Greene, G. O. Samach, A. Bengtsson, M. O'Keee, C. M. McNally, J. Braumuller, D. K. Kim, P. Krantz, M. Marvian, A. Melville, B. M. Niedzielski, Y. Sung, R. Winik, J. Yoder, D. Rosenberg, K. Obenland, S. Lloyd, T. P. Orlando, I. Marvian, S. Gustavsson, and W. D. Oliver, A quantum instruction set implemented on a superconducting quantum processor
A. Bengtsson, P. Vikstal, C.Warren, M. Svensson, X. Gu, A. F. Kockum, P. Krantz, C. Krizan, D. Shiri, I.-M. Svensson, G. Tancredi, G. Johansson, P. Delsing, G. Ferrini, and J. Bylander, Quantum approximate optimization of the exact-cover problem on a superconducting quantum processor
Information stored in quantum systems is fragile and can easily be lost. In superconducting circuits, one source of loss is defects on the surface of the device. In this thesis, we have developed fabrication processes that minimize the number of defects and yield superconducting qubits with state-of-the-art performance. By careful analysis of the performance, we identified that our circuits are still limited by defects, which means that even better processes are needed in the future.
Nevertheless, we use our low-loss circuits to demonstrate two quantum algorithms. We show that a quantum optimization algorithm can be used to solve logistics problems for airlines trying to optimize their routes and personal assignment. Even if our quantum processor is still too small to outperform a standard computer, our demonstration shows that the algorithm works and that it could be used for real-world applications once we have large enough quantum processors.
Finally, we implement frequency-tunable circuits. By modulating the circuits at specific multiples of a fundamental frequency, we observe splittings of one high-energy light-particle (a photon) into many lower-energy photons. While we mostly investigate some basic properties, such photon-splittings could provide useful resources for quantum computing in the future.
Fotonkondensat och relativistisk fysik på ett mikrochip
Knut och Alice Wallenbergs Stiftelse, 2015-01-01 -- 2019-12-31.
Styrkeområden
Nanovetenskap och nanoteknik
Ämneskategorier
Annan fysik
Nanoteknik
Den kondenserade materiens fysik
ISBN
978-91-7905-253-9
Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie: 4720
Utgivare
Chalmers
Opponent: Dr. Hanhee Paik, IBM T. J. Watson Research Center, USA