Circuit QED with a flux qubit strongly coupled to a coplanar transmission line resonator

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

doi:10.1088/0953-2048/20/8/016

Cited by 36 publications

(34 citation statements)

References 35 publications

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“…By rotating to the energy eigenbasis of the qubit, one arrives at the interaction in Eq. (6) [19,20,29,31,[62][63][64]. The parameter θ can be tuned by changing or ∆.…”

Section: B the Quantum Rabi Modelmentioning

confidence: 99%

Deterministic quantum nonlinear optics with single atoms and virtual photons

et al. 2017

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We show how analogues of a large number of well-known nonlinear-optics phenomena can be realized with one or more two-level atoms coupled to one or more resonator modes. Through higher-order processes, where virtual photons are created and annihilated, an effective deterministic coupling between two states of such a system can be created. In this way, analogues of three-wave mixing, four-wave mixing, higher-harmonic and -subharmonic generation (i.e., up-and downconversion), multiphoton absorption, parametric amplification, Raman and hyper-Raman scattering, the Kerr effect, and other nonlinear processes can be realized. In contrast to most conventional implementations of nonlinear optics, these analogues can reach unit efficiency, only use a minimal number of photons (they do not require any strong external drive), and do not require more than two atomic levels. The strength of the effective coupling in our proposed setups becomes weaker the more intermediate transition steps are needed. However, given the recent experimental progress in ultrastrong light-matter coupling and improvement of coherence times for engineered quantum systems, especially in the field of circuit quantum electrodynamics, we estimate that many of these nonlinear-optics analogues can be realized with currently available technology.

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“…By rotating to the energy eigenbasis of the qubit, one arrives at the interaction in Eq. (6) [19,20,29,31,[62][63][64]. The parameter θ can be tuned by changing or ∆.…”

Section: B the Quantum Rabi Modelmentioning

confidence: 99%

Deterministic quantum nonlinear optics with single atoms and virtual photons

et al. 2017

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“…These parameters show that our entanglement-protection proposal is experimentally realizable. Although this section mainly concentrates on how to protect entanglement in two charge qubits coupled to a transmission line resonator, our proposal is also extendable to two flux qubits in a coplanar transmission line resonator [45]. Since the system parameters [45] are almost of the same order of those for charge qubits, there is no essential difference between them, as far as applying our proposal.…”

Section: B Tunable Coupling Between Qubitsmentioning

confidence: 99%

Generating stationary entangled states in superconducting qubits

Zhang

Liu

et al. 2009

Phys. Rev. A

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When a two-qubit system is initially maximally-entangled, two independent decoherence channels, one per qubit, would greatly reduce the entanglement of the two-qubit system when it reaches its stationary state. We propose a method on how to minimize such a loss of entanglement in open quantum systems. We find that the quantum entanglement of general two-qubit systems with controllable parameters can be protected by tuning both the single-qubit parameters and the twoqubit coupling strengths. Indeed, the maximum fidelity Fmax between the stationary entangled state, ρ∞, and the maximally-entangled state, ρm, can be about 2/3 ≈ max{tr(ρ∞ρm)} = Fmax, corresponding to a maximum stationary concurrence, Cmax, of about 1/3 ≈ C(ρ∞) = Cmax. This is significant because the quantum entanglement of the two-qubit system can be protected, even for a long time. We apply our proposal to several types of two-qubit superconducting circuits, and show how the entanglement of these two-qubit circuits can be optimized by varying experimentallycontrollable parameters.

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“…Circuit QED provides another viable alternative. In this design onchip superconducting coplanar waveguide microwave resonators serves as the effective cavity [25] with Cooperpair boxes [26], transmon [27] or flux qubits [28] acting as the artificial atom.…”

Section: Introductionmentioning

confidence: 99%

Disorder-correlation-frequency-controlled diffusion in the Jaynes-Cummings–Hubbard model

Quach¹

2013

Phys. Rev. A

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We investigate time-dependent stochastic disorder in the one-dimensional Jaynes-CummingsHubbard model and show that it gives rise to diffusive behaviour. We find that disorder correlation frequency is effective in controlling the level of diffusivity. In the defectless system the mean squared displacement (MSD), which is a measure of the diffusivity, increases with increasing disorder frequency. Contrastingly, when static defects are present the MSD increases with disorder frequency only at lower frequencies; at higher frequencies, increasing disorder frequency actually reduces the MSD.

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Circuit QED with a flux qubit strongly coupled to a coplanar transmission line resonator

Cited by 36 publications

References 35 publications

Deterministic quantum nonlinear optics with single atoms and virtual photons

Deterministic quantum nonlinear optics with single atoms and virtual photons

Generating stationary entangled states in superconducting qubits

Disorder-correlation-frequency-controlled diffusion in the Jaynes-Cummings–Hubbard model

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