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. 2016 Nov 9:6:36737.
doi: 10.1038/srep36737.

Fast generation of W states of superconducting qubits with multiple Schrödinger dynamics

Yi-Hao Kang  1 , Ye-Hong Chen  1 , Qi-Cheng Wu  1 , Bi-Hua Huang  1 , Jie Song  2 , Yan Xia  1
Affiliations

Fast generation of W states of superconducting qubits with multiple Schrödinger dynamics

Yi-Hao Kang et al. Sci Rep. .

Abstract

In this paper, we present a protocol to generate a W state of three superconducting qubits (SQs) by using multiple Schrödinger dynamics. The three SQs are respective embedded in three different coplanar waveguide resonators (CPWRs), which are coupled to a superconducting coupler (SCC) qubit at the center of the setups. With the multiple Schrödinger dynamics, we build a shortcuts to adiabaticity (STA), which greatly accelerates the evolution of the system. The Rabi frequencies of the laser pulses being designed can be expressed by the superpositions of Gaussian functions via the curves fitting, so that they can be realized easily in experiments. What is more, numerical simulation result shows that the protocol is robust against control parameters variations and decoherence mechanisms, such as the dissipations from the CPWRs and the energy relaxation. In addition, the influences of the dephasing are also resisted on account of the accelerating for the dynamics. Thus, the performance of the protocol is much better than that with the conventional adiabatic passage techniques when the dephasing is taken into account. We hope the protocol could be implemented easily in experiments with current technology.

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Figures

Figure 1
Figure 1
(a) Schematic diagram of three CPWRs and a SCC qubit (a circle at the center). (b) The energy-level structure of SQk.
Figure 2
Figure 2
(a) Comparison between formula image and formula image (versus t/T). (b) Comparison between formula image and formula image (versus t/T).
Figure 3
Figure 3. The final fidelity F(T) versus λ.
Figure 4
Figure 4
(a) The fidelity F(t) versus t/T. (b) The population Pm of formula image versus t/T.
Figure 5
Figure 5. The fidelities of the target state |W〉 versus t/T with different methods.
Figure 6
Figure 6
(a) The final fidelity F(T) versus formula image and γ/λ. (b) The final fidelity F(T) versus formula image and formula image. (c) The final fidelity F(T) versus γ/λ and formula image.
Figure 7
Figure 7
(a) The final fidelity F(T′) versus δT/T and δλ/λ. (b) The final fidelity F(T′) versus δT/T and formula image. (c) The final fidelity F(T) versus formula image and δλ/λ.
Figure 8
Figure 8. Schematic diagram of a charge qubit.
See this image and copyright information in PMC

References

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