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Plug-and-Play Approach to Nonadiabatic Geometric Quantum Gates
Bao-Jie Liu1, Xue-Ke Song1, Zheng-Yuan Xue1,2
1Institute for Quantum Science and Engineering, and Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China.
Physical Review Letters
|October 2, 2019
Summary
Nonadiabatic holonomic quantum computation (NHQC+) offers a flexible and robust method for creating geometric quantum gates. This approach enhances noise resilience in systems like superconducting qubits and nitrogen-vacancy centers.
Area of Science:
- Quantum computation
- Quantum information science
- Condensed matter physics
Background:
- Nonadiabatic holonomic quantum computation (NHQC) accelerates geometric quantum gate construction.
- Existing NHQC methods have restrictive conditions, limiting gate robustness against control errors.
Purpose of the Study:
- To introduce an extensible NHQC approach (NHQC+) for enhanced flexibility and noise robustness.
- To integrate optimal control techniques with geometric quantum computation.
Main Methods:
- Developed the NHQC+ framework for constructing nonadiabatic geometric gates.
- Incorporated optimal control methods like dynamical decoupling and composite pulses.
- Applied NHQC+ to superconducting qubits and nitrogen-vacancy centers.
Main Results:
- NHQC+ maintains flexibility and robustness against specific noise types.
- Demonstrated significant improvement in noise robustness via numerical simulations.
- Showcased the applicability of NHQC+ to current experimental implementations.
Conclusions:
- NHQC+ provides a versatile platform for robust geometric quantum computation.
- This extensible approach combines geometric phase robustness with optimal control theory.
- NHQC+ is applicable across various quantum computing platforms.
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