Numerical simulations of a flux qubit coupled to a high quality resonator

Lindström, Tobias; Webster, C H; Healey, J E; Colclough, M. S.; Muirhead, C. M.; Tzalenchuk, Alexander

doi:10.1088/1742-6596/97/1/012319

Cited by 1 publication

(1 citation statement)

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“…The examples are based on the coupling of two superconducting coplanar waveguide or microstrip resonators to a single Cooperpair box 1,22 (or a transmon 61,62,63 ) or to a superconducting loop interrupted by one (or three) Josephson-tunnel junctions. 25,32,60,64 The first example is the case of a single Cooper-pair box (a charge quantum circuit), which is formally equivalent to the more appealing case of the transmon. A single Cooper-pair box 1,22 is made of a superconducting island connected to a large reservoir via two Josephson tunnel junctions with Josephson energy E J and capacitance C J .…”

Section: The Role Of Circuit Topology: Two Examplesmentioning

confidence: 99%

Two-resonator circuit quantum electrodynamics: A superconducting quantum switch

et al. 2008

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We introduce a systematic formalism for two-resonator circuit QED, where two on-chip microwave resonators are simultaneously coupled to one superconducting qubit. Within this framework, we demonstrate that the qubit can function as a quantum switch between the two resonators, which are assumed to be originally independent. In this three-circuit network, the qubit mediates a geometric second-order circuit interaction between the otherwise decoupled resonators. In the dispersive regime, it also gives rise to a dynamic secondorder perturbative interaction. The geometric and dynamic coupling strengths can be tuned to be equal, thus permitting to switch on and off the interaction between the two resonators via a qubit population inversion or a shifting of the qubit operation point. We also show that our quantum switch represents a flexible architecture for the manipulation and generation of nonclassical microwave field states as well as the creation of controlled multipartite entanglement in circuit QED. In addition, we clarify the role played by the geometric interaction, which constitutes a fundamental property characteristic of superconducting quantum circuits without a counterpart in quantum-optical systems. We develop a detailed theory of the geometric second-order coupling by means of circuit transformations for superconducting charge and flux qubits. Furthermore, we show the robustness of the quantum switch operation with respect to decoherence mechanisms. Finally, we propose a realistic design for a two-resonator circuit QED setup based on a flux qubit and estimate all the related parameters. In this manner, we show that this setup can be used to implement a superconducting quantum switch with available technology.

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