Dynamical Symmetries for Quantum Computing
Author Information
Author(s): Hamilton James R., Levine Raphael D., Remacle Francoise, Saviot Lucien
Primary Institution: University of Liege, The Hebrew University of Jerusalem, University of California Los Angeles
Hypothesis
Can dynamical symmetries be constructed for quantum computing applications?
Conclusion
The study presents a method for constructing dynamical symmetries that can enhance quantum computing based on coupled qubits.
Supporting Evidence
- Dynamical symmetries can be constructed using a variant of the Wei-Norman approach.
- The method applies to systems of coupled qubits, which are essential for quantum computing.
- Explicit examples for electronic dynamics in coupled semi-conducting nanoparticles are provided.
Takeaway
This study shows how to create special mathematical tools that help us understand and improve quantum computers, which are like super-fast calculators.
Methodology
The authors used an algebraic approach to construct time-dependent operators and applied them to systems of coupled qubits.
Limitations
The study does not address dissipation in quantum systems.
Digital Object Identifier (DOI)
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