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Quantum gates by periodic driving
1Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China.
Scientific Reports
|February 26, 2016
Summary
Periodic driving offers a faster method for single-qubit gates in topological quantum computation compared to adiabatic evolution. This approach significantly reduces gate operation times, enhancing quantum computation speed.
Area of Science:
- Quantum Computing
- Condensed Matter Physics
Background:
- Topological quantum computation (TQC) is valued for its inherent robustness against decoherence.
- Current TQC methods, like adiabatic evolution, are slow due to long gate operation times.
Purpose of the Study:
- To introduce a novel method for realizing single-qubit quantum gates using periodic driving.
- To investigate the potential of periodic driving to accelerate quantum gate operations in TQC.
Main Methods:
- Developed a theoretical framework for single-qubit gate realization via periodic driving.
- Analyzed both sinusoidal and square-well driving field profiles.
- Derived high-frequency approximations for sinusoidal driving and exact analytical solutions for square-well driving.
Main Results:
- Periodic driving enables single-qubit gates to be completed in significantly shorter fixed times than adiabatic methods.
- Derived an expression for operation time under high-frequency sinusoidal driving.
- Obtained an exact analytical evolution operator for square-well driving.
Conclusions:
- Periodic driving presents a viable and faster alternative for implementing quantum gates in TQC.
- This method offers a new pathway to control and reduce operation times in topological quantum computation.
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