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000844146 1001_ $$0P:(DE-Juel1)167542$$aWillsch, Dennis$$b0$$eCorresponding author$$ufzj
000844146 1112_ $$aNIC Symposium 2018$$cJülich$$d2018-02-22 - 2018-02-23$$wGermany
000844146 245__ $$aError analysis of gate-based quantum computers with transmon qubits
000844146 260__ $$c2018
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000844146 520__ $$aOver the past decades, tremendous effort has gone into building a universal quantum computer. In theory, such a device can solve certain problems such as factoring exponentially faster than digital computers. The leading technological prototypes are based on superconducting circuits and contain about 10-50 qubits. Controlling these fragile systems requires an enormous amount of precision, posing a difficult challenge for the experimentalists. We study such quantum systems in detail by solving the time-dependent Schrödinger equation for a generic model Hamiltonian. For this purpose, we have developed efficient product-formula algorithms that are tailored to key features of the model Hamiltonian. This allows us to simulate each individual voltage pulse that is used in experiments to realize a certain quantum gate, as dictated by the computational model of a quantum computer. By optimizing the pulse parameters, we find that even in the ideal case, the best pulses still contain undesirable errors in the realization of the intended quantum gate. The common gate metrics measured and reported in experiments or computed in theory are shown to provide insufficient practical information about the significance of these errors.
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000844146 7001_ $$0P:(DE-Juel1)167543$$aNocon, Madita$$b1$$ufzj
000844146 7001_ $$0P:(DE-Juel1)144355$$aJin, Fengping$$b2$$ufzj
000844146 7001_ $$0P:(DE-HGF)0$$aDe Raedt, Hans$$b3
000844146 7001_ $$0P:(DE-Juel1)138295$$aMichielsen, Kristel$$b4$$ufzj
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