# Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits

@article{Huang2014OptimalCF, title={Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits}, author={Shan Huang and Hsi-Sheng Goan}, journal={Physical Review A}, year={2014}, volume={90}, pages={012318} }

We apply the quantum optimal control theory based on the Krotov method to implement single-qubit $X$ and $Z$ gates and two-qubit CNOT gates for inductively coupled superconducting flux qubits with fixed qubit transition frequencies and fixed off-diagonal qubit-qubit coupling. Our scheme that shares the same advantage of other directly coupling schemes requires no additional coupler subcircuit and control lines. The control lines needed are only for the manipulation of individual qubits (e.g., a…

## 18 Citations

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## References

SHOWING 1-10 OF 65 REFERENCES

Time-dependent quantum molecular dynamics

- Physics
- 1992

Variable Time-Step Integration for Intense Field Effects C. Cerjan, R. Kosloff. Adiabatic and Diabatic Basis Sets in Molecular Calculations R. Cimiraglia. Classical and Quantum Mechanics of the…

ON QUANTUM NOISE

- Mathematics
- 1995

We discuss the distribution function for the current noise in Quantum point contacts. Special interest is paid to contact of a superconductor with a normal metal. A new derivation of the…

APPL

- 2001

Statistical packages have been used for decades to analyze large datasets or to perform mathematically intractable statistical methods. These packages are not capable of working with random variables…

Nat

- Phys. 7, 565-570
- 2011

Phys

- Rev. Lett. 96, 067003
- 2006

Phys

- Rev. A 89, 062310
- 2014

T

- Schulte- Herbrüggen J. Biamonte, and J. Wrachtrup, Nat. Commun. 5, 3371
- 2014

New J

- Phys. 14, 073041
- 2012

Phys

- Rev. Lett. 109, 060501
- 2012

Phys

- Rev. Lett. 108, 180501
- 2012