I am a postdoctoral research associate in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge. My broad research interests are in the field of quantum computing and quantum information science.

I completed my PhD in physics in 2026 at the University of New Mexico where I was advised by Ojas Parekh from Sandia National Laboratories. I received my undergraduate and master’s education in Electrical Engineering, with a minor in Physics, at the Indian Institute of Technology (IIT) Madras.

News

• Oct 2026

  I will give a talk on Lee-Yang Hamiltonians at the Quantum Innovators 2026 workshop, hosted by the Institute for Quantum Computing at the University of Waterloo.

Papers

1. 1

   Polynomial-time classical and quantum simulation of quantum impurity models

   Jiaqing Jiang, Nathan Ju, Ojas Parekh, Chaithanya Rayudu, Andrew Zhao

   • arXiv:2610.02167
2. 2

   Lee-Yang theorem for fermions

   Chaithanya Rayudu, Takahiro Misawa, Andrew Zhao, Jun Takahashi

   • arXiv:2609.23942
3. 3

   Spectral gap of Lee-Yang Hamiltonians

   Chaithanya Rayudu, Jun Takahashi

   • arXiv:2607.10765
4. 4

   Fast mixing of operator-loop path-integral quantum Monte Carlo for stoquastic XY Hamiltonians

   Chaithanya Rayudu, Jun Takahashi

   • arXiv:2509.21683
5. 5

   Fermionic Independent Set and Laplacian of an independence complex are QMA-hard

   Chaithanya Rayudu

   • arXiv:2411.03230
   • QIP 2025
6. 6

   Constrained local Hamiltonians: quantum generalizations of Vertex Cover

   Ojas Parekh, Chaithanya Rayudu, Kevin Thompson

   • arXiv:2409.04433
   • QIP 2025
7. 7

   An SU(2)-symmetric Semidefinite Programming Hierarchy for Quantum Max Cut

   Jun Takahashi, Chaithanya Rayudu, Cunlu Zhou, Robbie King, Kevin Thompson, Ojas Parekh

   • arXiv:2307.15688
   • TQC 2024
8. 8

   Quantum Bicyclic Hyperbolic Codes

   Sankara Sai Chaithanya Rayudu, Pradeep Sarvepalli

   • Quantum Inf. Process.