Research

Overview #

My current research interests are focused on leveraging near-term quantum computers to solve problems in various domains, which include but are not limited to:

• Simulation of many-body systems: creating exotic phases of matter, simulating phase transitions, improving techniques for Hamiltonian simulation with the help of machine learning, etc.
• Optimization: exploring quantum optimization algorithms, such as the Quantum Approximate Optimization Algorithm (QAOA), Variational Quantum Eigensolver (VQE), etc. and their applications in life science problems such as protein folding and drug discovery
• Machine learning: developing and benchmarking quantum machine learning algorithms for electronic health records, medical imaging, etc.

Things I have worked on in the past:

• Topological materials: investigating novel spin/charge transport phenomena in topological semimetals, such as Weyl and Dirac semimetals
• Dark matter models: studying the phenomenology of dark matter models in theories with a gauged baryon symmetry

Publications #

1. Kostas Blekos*, Dean Brand*, Andrea Ceschini*, Chiao-Hui Chou*, Rui-Hao Li*, Komal Pandya*, and Alessandro Summer*, A review on Quantum Approximate Optimization Algorithm and its variants, Phys. Rep. 1068, 1 (2024).
2. R.-H. Li*, P. Shen*, and S. S.-L. Zhang, Tunable spin-charge conversion in topological Dirac semimetals, APL Mater. 10, 041108 (2022).
3. R.-H. Li, O. G. Heinonen, A. A. Burkov, and S. S.-L. Zhang, Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly, Phys. Rev. B 103, 045105 (2021).
4. P. Fileviez Pere*, E. Golias*, R.-H. Li*, C. Murgui*, and A. D. Plascencia*, Anomaly-free dark matter models, Phys. Rev. D 100, 015017 (2019).
5. P. Fileviez Perez*, E. Golias*, R.-H. Li*, and C. Murgui*, Leptophobic dark matter and the baryon number violation scale, Phys. Rev. D 99, 035009 (2019).

[*]: denotes equal contribution

Talks #

• Introduction to (Qiskit) Quantum Machine Learning (2022) with demo
  Talk given in Qiskit Fall Fest 2022 at CWRU, which I also co-organized.
• Introduction to Quantum Approximate Optimization Algorithm (2022)
  Talk given at the QOSF Mentorship Program meeting.
• Majorana Zero Modes in a Kitaev Chain (2022)
  Talk given at the CMP Journal Club at CWRU in Spring 2022.
• Tunable spin-charge conversion in topological Dirac semimetals (2022)
  • 2022.3: APS March Meeting 2022, Chicago, IL, USA.
  • 2021.8: The 2021 Around-the-Clock Around-the-Globe magnetics Conference (AtC-AtG), Virtual.
• Chiral-anomaly-induced nonlinear Hall effect in Weyl semimetals (2020)
  • 2020.11: The 65th Annual Conference on Magnetism and Magnetic Materials (MMM 2020), Virtual.
  • 2020.8: The 2020 Around-the-Clock Around-the-Globe magnetics Conference (AtC-AtG), Virtual. (Best Presentation Awards)
• Fantastic dark matter and where to find them: Indirect Detection (2019)
  Talk given at the CERCA Weekly Seminar in Spring 2019.
• Baryon number violation and leptophobic dark matter (2018)
  Talk given at the CERCA Weekly Seminar in Fall 2018.
• Quantum corrections in left-right symmetric seesaw mechanisms (2016)
  Talk given as my Honours year final presentation in Oct, 2016.

Miscellaneous Notes #

• Quantum Field Theory in Curved Spacetime (2018). A short introduction to quantum field theory in curved spacetime.
• Introduction to Quantum Field Theory (2016). Lecture notes compiled based on the Honours course on Quantum Field Theory.
• Particle Cosmology and Baryonic Astrophysics (2016). Lecture notes compiled based on the Honours course on Particle Cosmology and Baryonic Astrophysics.