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Interplay between Zeeman coupling and swap action in spin-based quantum computer models: error correction in
X Hu1, R de Sousa, S Das Sarma
1Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA.
Physical Review Letters
|February 15, 2001
Summary
We theoretically analyzed how magnetic fields affect quantum computers. Our findings show that error correction is possible even with non-uniform magnetic fields in realistic quantum dot systems.
Area of Science:
- Quantum computing
- Condensed matter physics
- Quantum information science
Background:
- Spin-based quantum computers utilize quantum dots.
- Zeeman coupling and exchange interactions are key operations.
- Inhomogeneous magnetic fields are a practical challenge.
Purpose of the Study:
- To theoretically investigate the interplay between Zeeman coupling and exchange interactions.
- To analyze the impact of inhomogeneous magnetic fields on quantum computations.
- To assess the feasibility of error correction in realistic quantum dot systems.
Main Methods:
- Theoretical modeling of spin-based quantum computer architectures.
- Quantitative estimation of swap errors.
- Analysis of error correction principles under non-uniform magnetic fields.
Main Results:
- Inhomogeneous magnetic fields introduce swap errors.
- The magnitude of these errors was quantitatively estimated.
- Error correction strategies are viable despite field non-uniformities.
Conclusions:
- Non-uniform magnetic fields pose a challenge but do not preclude quantum computation.
- Error correction is theoretically possible in realistic quantum dot quantum computers.
- This work provides a pathway for designing more robust quantum computing systems.