The Advancement of Simulating High-Dimensional Topological Lattices on Digital Quantum Computers

In a breakthrough study conducted by researchers from the National University of Singapore (NUS), higher-order topological (HOT) lattices have been successfully simulated with unprecedented accuracy using digital quantum computers. These complex lattice structures play a crucial role in understanding advanced quantum materials with robust quantum states that have significant implications for various technological applications.

The study of topological states of matter, including their HOT counterparts, has garnered significant attention among physicists and engineers. The discovery of topological insulators, which conduct electricity only on their surface or edges while remaining insulating in their interiors, has paved the way for exploring unique mathematical properties of topology. Electrons flowing along the edges of topological materials are not affected by defects or deformations present in the material, making devices made from such materials promising for robust transport or signal transmission technology.

Led by NUS Assistant Professor Lee Ching Hua, the research team developed a scalable approach to encode large, high-dimensional HOT lattices into simple spin chains existing in current digital quantum computers. By leveraging the information storage capabilities of quantum computer qubits and minimizing resource requirements in a noise-resistant manner, the team was able to simulate advanced quantum materials with a level of precision previously unattainable.

Despite the limitations of current noisy intermediate-scale quantum (NISQ) devices, the research team was able to measure topological state dynamics and protected mid-gap spectra of higher-order topological lattices with unprecedented accuracy. This achievement was made possible through the utilization of advanced in-house developed error mitigation techniques, showcasing the potential of current quantum technology in exploring new frontiers in material engineering.

The ability to simulate high-dimensional HOT lattices on digital quantum computers opens up new research directions in quantum materials and topological states. This development suggests a potential route to achieving true quantum advantage in the future, paving the way for further exploration of advanced quantum materials with robust quantum states in various technological applications.