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000844313 1001_ $$0P:(DE-Juel1)167543$$aNocon, Madita$$b0$$eCorresponding author
000844313 1112_ $$aNIC Symposium 2018$$cJülich$$d2018-02-22 - 2018-02-23$$wGermany
000844313 245__ $$aSuperconducting flux qubits compared to ideal two-level systems as building blocks for quantum annealers
000844313 260__ $$c2018
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000844313 520__ $$aFor quantum computers, two theoretical models are nowadays considered to be the most important: the gate-based quantum computer and the quantum annealer.Gate-based quantum computers are based on computational gates just like classical computers, but have potentially more computational power due to the algebra behind quantum theory. A quantum annealer works fundamentally different: First the system is prepared in a known ground state of an initial Hamiltonian, then this Hamiltonian is adiabatically transformed into the final Hamiltonian whose ground state corresponds to the solution of a given problem, usually taken from the class of optimization problems.Quantum annealing works well in theory if the qubits can be modeled as two-level systems. However, in real devices, the qubits are not based on perfect two-level systems, but on a two-dimensional subspace of a larger system. This makes approximations in analytic calculations unavoidable.With a simulation utilizing the Suzuki-Trotter product-formula approach to solve the time-dependent Schrödinger equation, the time-evolution of the full state of such a device based onsuperconducting flux qubits is investigated.
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000844313 7001_ $$0P:(DE-Juel1)167542$$aWillsch, Dennis$$b1
000844313 7001_ $$0P:(DE-Juel1)144355$$aJin, Fengping$$b2
000844313 7001_ $$0P:(DE-HGF)0$$aDe Raedt, Hans$$b3
000844313 7001_ $$0P:(DE-Juel1)138295$$aMichielsen, Kristel$$b4
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