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Quantum simulation via filtered Hamiltonian engineering: application to perfect quantum transport in spin networks
1Department of Nuclear Science and Engineering and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. ashokaj@mit.edu
Physical Review Letters
|June 18, 2013
Summary
We developed a novel Hamiltonian engineering technique using collective qubit rotations and field gradients for efficient quantum information transport. This method enables precise control over spin networks, achieving near-perfect transport even at room temperature.
Area of Science:
- Quantum Physics
- Quantum Information Science
- Condensed Matter Physics
Background:
- Hamiltonian engineering is crucial for controlling quantum systems.
- Existing methods often require complex local control operations.
- Efficient quantum information transport is a key challenge in quantum networks.
Purpose of the Study:
- To propose a new Hamiltonian engineering method.
- To enable precise control over quantum systems without local control.
- To achieve efficient quantum information transport in spin networks.
Main Methods:
- Utilizes collective qubit rotations and field gradients.
- Employs dynamical construction of a weighting function and Bragg grating for spatial modulation of coupling strengths.
- Applies an apodization scheme for enhanced robustness against decoherence and coupling disorder.
Main Results:
- Demonstrates generation of the ideal Hamiltonian for perfect quantum information transport between nodes in a spin network.
- Successfully engineers a spin chain with optimal couplings from a large spin network (e.g., in crystals).
- Achieves almost perfect quantum information transport at room temperature with realistic experimental parameters.
Conclusions:
- The proposed method offers a general approach for Hamiltonian engineering in complex spin lattices.
- It provides a pathway for robust and efficient quantum information transport.
- The technique is applicable to various spin network topologies and interactions.
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