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Implementation of universal quantum gates based on nonadiabatic geometric phases
1Department of Physics, University of Hong Kong, Pokfulam Road, Hong Kong, China.
Physical Review Letters
|August 23, 2002
Summary
We present a quantum computation scheme using nonadiabatic geometric phase shifts to create universal quantum gates. This method, applicable to Josephson junctions and NMR systems, offers gates independent of operation time.
Area of Science:
- Quantum Information Science
- Quantum Computation
- Condensed Matter Physics
Background:
- Geometric phases offer robust quantum information processing.
- Nonadiabatic approaches can accelerate quantum gate operations.
Purpose of the Study:
- To propose an experimentally feasible scheme for quantum computation using nonadiabatic geometric phases.
- To realize a set of universal quantum gates.
- To investigate the time-dependence of nonadiabatic geometric phase shifts.
Main Methods:
- Utilizing cyclic geometric phases for quantum gate realization.
- Designing physical implementations for Josephson junctions and Nuclear Magnetic Resonance (NMR) systems.
- Analyzing the conditions for time-independent nonadiabatic phase shifts.
Main Results:
- A set of universal quantum gates can be realized through nonadiabatic geometric phase shifts.
- The proposed scheme is physically implementable using Josephson junctions and NMR systems.
- Nonadiabatic phase shifts can be made independent of operation time under specific conditions.
Conclusions:
- The proposed nonadiabatic geometric gates are robust and experimentally feasible.
- There is no intrinsic limitation on the operation time for these gates, offering potential for faster quantum computation.
- This work provides a promising avenue for building practical quantum computers.