Hi! I’m Sam, a PhD student at the University of Chicago in the Mazziotti Group. My current research interests include studying the relationship between the 2 particle reduced density matrix (2-RDM) and quantum/topological phase transitions, investigating frustrated quantum spin systems, developing quantum computing algorithms based around the 2-RDM, and messing with sparse matrix math algorithms (this one is more of a hobby).

I am interested in the development of open source software solutions to scientific and mathematical problems (github). I also enjoy nagging my friends about open source software. In the non-nerdy hobby region, I like biking, rock climbing, and baking cakes (no website for this one sadly).

Publications

2024

• Warren, S.; Benavidas-Riveros, C.; Wang, Y.; Mazziotti, D.A. arXiv. (2024) Exact Ansatz of Fermion-Boson Systems for a Quantum Device
• Warren, S.; Sager-Smith, L.M.; Mazziotti, D.A. Phys. Rev. B. 109, 045134. (2024) Topological phase transitions captured in the set of reduced density matrices

2023

• Benavidas-Riveros, C.; Wang, Y.; Warren, S.; Mazziotti, D.A. arXiv. (2023) Quantum simulation of excited states from parallel contracted quantum eigensolvers.

2022

• S. Warren, L. A. Sager, and D. A. Mazziotti Phys. Rev. A. 106, 012434. (2022) Quantum Simulation of Quantum Phase Transitions Using the Convex Geometry of Reduced Density Matrices
• S. Warren, L. A. Sager, and D. A. Mazziotti Phys. Rev. B. 106, 165107. (2022) Quantum phase transitions in a model Hamiltonian exhibiting entangled simultaneous fermion-pair and exciton condensations
  • Demonstration Code Repository
  • Open Access PDF

You can contact me through github or at

CV availble upon request!