Abhijith Jayakumar

Quantum ''and'' Computing

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I am a Scientist at the Theoretical Division of Los Alamos National Lab, working on problems at the intersection of Quantum Information, Machine Learning, and Statistical Physics. I was previously a CNLS Postdoctoral Fellow in the same division mentored by Dr. Andrey Lokhov and Dr. Marc Vuffray. Before Los Alamos, I did my Ph.D. focusing on quantum algorithms and M.Tech in computational science from the Indian Institute of Science, working under Prof. Apoorva Patel.

:envelope: abhijithj@lanl.gov

research

quantum computing machine learning statistical physics Quantum algorithm implementations for beginners Spatial search with multiple targets via flip-flop quantum walk Improving query complexity of quantum spatial search in two dimensions Potential applications of quantum computing at Los Alamos Limitations of fault-tolerant quantum linear system solvers for power flow Universal framework for simultaneous tomography of states and SPAM noise Learning response functions of analog quantum computers Reliable quantum kernel classification using fewer circuit evaluations Learning energy-based representations of quantum many-body states Efficient learning of lattice gauge theories with fermions Discrete distributions are learnable from metastable samples Learning of discrete graphical models with neural networks Finite sample bounds for learning with score matching Optimization proxies from limited labelled data Quantum Hamiltonian Analysis Toolkit Conditions for quantum advantage in AC power flow Autoregressive graphical models for ground states of stoquastic Hamiltonians Learning of statistical field theories Discrete diffusion with sample-efficient estimators for conditionals Computationally sufficient statistics for Ising models Operator score matching for learning quantum Hamiltonians

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Browse all 21 papers

Everything that I do can be broadly classified as algorithms research heavily influenced by ideas from Physics. However, very little of it cleanly falls into a single field. This is the most enjoyable and the least pragmatic approach to designing a career in research. This diagram represents each of my papers as a dot, placed by how much it leans on each field. My work falls into a few long-running threads, which are explained below. Hopefully you, the reader, will see the unity between them as clearly as I do.

selected publications

  1. Efficient learning of lattice gauge theories with fermions
    Shreya Shukla, Yukari Yamauchi, Andrey Y. Lokhov , and 2 more authors
    Phys. Rev. D, Jun 2026
  2. Discrete distributions are learnable from metastable samples
    Abhijith Jayakumar, Andrey Y Lokhov, Sidhant Misra , and 1 more author
    Nature Communications, 2026
  3. Finite Sample Bounds for Learning with Score Matching
    Devin Smedira, Abhijith Jayakumar, Sidhant Misra , and 2 more authors
    In The Thirty Ninth Annual Conference on Learning Theory , 2026
  4. Limitations of Fault-Tolerant Quantum Linear System Solvers for Quantum Power Flow
    Parikshit Pareek, Abhijith Jayakumar, Carleton Coffrin , and 1 more author
    IEEE Transactions on Power Systems, 2025
  5. Universal framework for simultaneous tomography of quantum states and SPAM noise
    Abhijith Jayakumar, Stefano Chessa, Carleton Coffrin , and 3 more authors
    Quantum, Jul 2024
  6. Quantum algorithm implementations for beginners
    J Abhijith, Adetokunbo Adedoyin, John Ambrosiano , and 8 more authors
    ACM Transactions on Quantum Computing, 2022
  7. Learning of discrete graphical models with neural networks
    Abhijith Jayakumar, Andrey Lokhov, Sidhant Misra , and 1 more author
    Advances in Neural Information Processing Systems, 2020
  8. Spatial search on graphs with multiple targets using flip-flop quantum walk
    J Abhijith, and Apoorva Patel
    Quantum Information and Computation 18, 1295-1331 (2018), 2018