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Engineering Long-Range and Multibody Interactions via Global Kinetic Constraints.
Runmin Wu1, Bing Yang2, Pieter W Claeys3
1Peking University, State Key Laboratory of Artificial Microstructure and Mesoscopic Physics, School of Physics, 100871 Beijing, China.
Physical Review Letters
|April 11, 2026
Summary
This study introduces a novel method for quantum computation using Bose-Hubbard systems. It enables efficient implementation of global quantum gates and preparation of entangled states.
Area of Science:
- Quantum Information Science
- Atomic, Molecular, and Optical Physics
Background:
- Long-range and multibody interactions are essential for quantum simulation and computation.
- Implementing these interactions with basic pairwise interactions is a significant challenge.
Purpose of the Study:
- To propose an experimental scheme for realizing long-range and multibody interactions in quantum systems.
- To demonstrate an efficient method for implementing global controlled gates and preparing entangled states for quantum computation.
Main Methods:
- Utilizing a Bose-Hubbard system with periodic driving of on-site energy and global-range density-density interactions.
- Employing cold atoms in optical lattices with cavity-mediated interactions for experimental implementation.
- Inducing global kinetic constraints by selectively suppressing tunneling rates based on particle number imbalance.
Main Results:
- Demonstrated a mechanism to implement global controlled gates, including the N-qubit Toffoli gate, without requiring two-body gate decomposition.
- Showcased efficient preparation of entangled many-body states.
- The proposed scheme is readily implementable with current experimental techniques.
Conclusions:
- The proposed scheme offers a practical and efficient approach to realizing complex quantum interactions for quantum computation.
- This work paves the way for advancements in quantum simulation and the development of robust quantum algorithms.
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