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Realization of higher-order topological lattices on a quantum computer
Jin Ming Koh1,2, Tommy Tai3,4, Ching Hua Lee5
1Division of Physics, Mathematics and Astronomy, Caltech, Pasadena, CA, 91125, USA.
Nature Communications
|July 10, 2024
Summary
Researchers developed a new method to simulate complex, high-dimensional condensed matter systems using current noisy quantum hardware. This approach enhances quantum simulation capabilities for future quantum advantage in materials science.
Area of Science:
- Quantum Computing and Simulation
- Condensed Matter Physics
- Materials Science
Background:
- Noisy intermediate-scale quantum (NISQ) devices face limitations in gate errors and qubit quality, restricting their applications.
- Simulating high-dimensional condensed matter systems is computationally intensive for classical computers.
Purpose of the Study:
- To develop a versatile platform for simulating multi-dimensional condensed matter systems using digital NISQ hardware.
- To overcome the limitations of current quantum devices for complex simulations.
Main Methods:
- Encoding high-dimensional lattices into many-body interactions on a reduced-dimension model.
- Utilizing the exponentially large Hilbert space of quantum systems.
- Employing circuit optimization and error mitigation techniques on IBM superconducting quantum processors.
Main Results:
- Accurate measurement of topological state dynamics and protected mid-gap spectra of higher-order topological lattices in up to four dimensions.
- Demonstrated high accuracy despite the limitations of NISQ devices.
Conclusions:
- The developed approach effectively leverages NISQ hardware for simulating complex, high-dimensional systems.
- Projected resource requirements scale favorably compared to classical computation, indicating a path towards quantum advantage.
- This work paves the way for future applications in condensed matter physics and materials science.
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