Related Experiment Videos
Evaluation of holonomic quantum computation: adiabatic versus nonadiabatic
LiXiang Cen1, XinQi Li, YiJing Yan
1NLSM, Institute of Semiconductors, The Chinese Academy of Sciences, Beijing 100083, People's Republic of China.
Physical Review Letters
|May 7, 2003
Summary
We present a new method to analyze holonomic quantum computation beyond the adiabatic limit, confirming geometrical predictions and studying nonadiabatic effects for qubit operations.
Area of Science:
- Quantum Information Science
- Theoretical Physics
- Computational Physics
Background:
- Holonomic quantum computation utilizes geometrical phases for quantum gate operations.
- The adiabatic limit simplifies quantum dynamics but may not reflect realistic computational scenarios.
Purpose of the Study:
- To evaluate holonomic quantum computation beyond the adiabatic approximation.
- To confirm geometrical predictions of holonomies using a dynamical approach.
- To investigate the impact of nonadiabatic effects on universal qubit operations.
Main Methods:
- Analytical solution of time-dependent Schrödinger equations.
- Evaluation of quantum holonomies beyond the adiabatic regime.
Main Results:
- Rigorous confirmation of the geometrical prediction of holonomies.
- Demonstration of a practical method to study nonadiabaticity-induced effects.
- Assessment of nonadiabatic effects on universal qubit operations.
Conclusions:
- The analytical solution provides a robust framework for analyzing holonomic quantum computation.
- Nonadiabatic effects are crucial for understanding and implementing practical universal qubit operations.