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Accurate and Robust Unitary Transformations of a High-Dimensional Quantum System
B E Anderson1,2, H Sosa-Martinez1, C A Riofrío3,4
1Center for Quantum Information and Control, College of Optical Sciences and Department of Physics, University of Arizona, Tucson, Arizona 85721, USA.
Physical Review Letters
|July 22, 2015
Summary
Researchers designed and implemented robust unitary maps in a 16-dimensional space for cesium-133 atoms. This advance in quantum control achieves high fidelity, paving the way for quantum information processing.
Area of Science:
- Quantum Information Science
- Atomic Physics
- Quantum Control
Background:
- Unitary transformations are fundamental to closed quantum systems.
- Designing unitary maps in high-dimensional spaces and ensuring their robustness remains a challenge.
Purpose of the Study:
- To design and implement high-fidelity unitary maps in a 16-dimensional Hilbert space.
- To demonstrate robustness against perturbations in quantum systems.
Main Methods:
- Utilized optimal control theory for designing unitary maps.
- Implemented these maps in the 6S(1/2) ground state of Cesium-133 atoms.
- Experimentally verified the fidelity and robustness of the implemented maps.
Main Results:
- Successfully designed and implemented unitary maps in a 16-dimensional Hilbert space.
- Achieved fidelities greater than 0.98 for the transformations.
- Demonstrated inherent robustness to static and dynamic perturbations.
Conclusions:
- The study successfully demonstrates the design and implementation of high-fidelity, robust unitary maps in a complex, high-dimensional quantum system.
- This work provides a viable template for advancing quantum information processing and control on various physical platforms.
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