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000885927 0247_ $$2Handle$$a2128/25995
000885927 0247_ $$2ISSN$$a1868-8489
000885927 020__ $$a978-3-95806-505-5
000885927 037__ $$aFZJ-2020-04183
000885927 041__ $$aEnglish
000885927 1001_ $$0P:(DE-Juel1)167542$$aWillsch, Dennis$$b0$$eCorresponding author$$gmale$$ufzj
000885927 245__ $$aSupercomputer simulations of transmon quantum computers$$f2017-01-01 - 2020-01-31
000885927 260__ $$aJülich$$bForschungszentrum Jülich GmbH Zentralbibliothek, Verlag$$c2020
000885927 300__ $$aIX, 237 S.
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000885927 4900_ $$aSchriften des Forschungszentrums Jülich. IAS Series$$v45
000885927 502__ $$aRWTH Aachen, Diss., 2020$$bDr$$cRWTH Aachen$$d2020$$o2020-07-07
000885927 520__ $$aWe develop a simulator for quantum computers composed of superconducting transmon qubits. The simulation model supports an arbitrary number of transmons and resonators. Quantum gates are implemented by time-dependent pulses. Nontrivial effects such as crosstalk, leakage to non-computational states, entanglement between transmons and resonators, and control errors due to the pulses are inherently included. The time evolution of the quantum computer is obtained by solving the time-dependent Schrödinger equation. The simulation algorithm shows excellent scalability on high-performance supercomputers. We present results for the simulation of up to 16 transmons and resonators. Additionally, the model can be used to simulate environments, and we demonstrate the transition from an isolated system to an open quantum system governed by a Lindblad master equation. We also describe a procedure to extract model parameters from electromagnetic simulations or experiments. We compare simulation results to experiments on several NISQ processors of the IBM Q Experience. We find nearly perfect agreement between simulation and experiment for quantum circuits designed to probe crosstalk in transmon systems. By studying common gate metrics such as the fidelity or the diamond distance, we find that they cannot reliably predict the performance of repeated gate applications or practical quantum algorithms. As an alternative, we find that the results from two-transmon gate set tomography have an exceptional predictive power. Finally, we test a protocol from the theory of quantum error correction and fault tolerance. We find that the protocol systematically improves the performance of transmon quantum computers in the presence of characteristic control and measurement errors.
000885927 536__ $$0G:(DE-HGF)POF3-511$$a511 - Computational Science and Mathematical Methods (POF3-511)$$cPOF3-511$$fPOF III$$x0
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000885927 9141_ $$y2020
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000885927 920__ $$lyes
000885927 9201_ $$0I:(DE-Juel1)VDB1106$$kIAS$$lInstitute for Advanced Simulation$$x0
000885927 9201_ $$0I:(DE-Juel1)JSC-20090406$$kJSC$$lJülich Supercomputing Center$$x1
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