Mathematical Foundations of Modern Quantum Many-Body Theory
Rensselaer Polytechnic Institute MATH 6940, Fall 2024
This is the official website for the reading course: Mathematical Foundations of Modern Quantum Many-Body Theory, held in Fall 2024
General information
Instructor: Fabian M. Faulstich
Time: Tue 3:00PM - 5:00PM Carnegie 102
Office Hours: Wed 8:00AM-9:00AM. 406 Amos Eaton Hall
Schedule
| Date | Topic | Presenter |
|---|---|---|
| 10/02 | Hybrid grid/basis set discretizations of the Schrödinger equation | Chanaka Mapa Mudiyanselage |
| 10/09 | Quantum Dynamical Hamiltonian Monte Carlo | Jack Mandell |
| 10/16 | Even Shorter Quantum Circuit for Phase Estimation on Early Fault-Tolerant Quantum Computers | Ibrahim Abdulazeez |
| 10/23 | Quantum Chemical Calculation of Molecular Properties | Talha Aziz |
| 10/30 | Linear scaling coupled cluster and perturbation theories in the atomic orbital basis | Chanaka Mapa Mudiyanselage |
| 11/06 | A Quantum Engineer’s Guide to Superconducting Qubits | Jack Mandell |
| 11/13 | Estimating Eigenenergies from Quantum Dynamics: A Unified Noise-Resilient Measurement-Driven Approach | Ibrahim Abdulazeez |
| 10/20 | Convergence Analysis of Adaptive DIIS Algorithms with Application to Electronic Ground State Calculations | Talha Aziz |
Meetings marked with an asterisk (*) are subject to potential cancellation. In case this happens, the scheduled presenter for that date will present at the next occurring meeting, causing all subsequent presenters to be rescheduled to the following occuring dates.
Textbooks
Mathematics:
A Mathematical Introduction To Electronic Structure Theory by Lin Lin and Jianfeng LuChemistry:
Molecular Electronic‐Structure Theory by Trygve Helgaker, Poul Jørgensen, Jeppe OlsenModern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory by Attila Szabo and Neil S. Ostlund
Physics:
Additional Resources
Hybrid grid/basis set discretizations of the Schrödinger equation
by Steven R. White
Linear scaling coupled cluster and perturbation theories in the atomic orbital basis
by Gustavo E. Scuseria and Philippe Y. Ayala
Quantum Dynamical Hamiltonian Monte Carlo
by Owen Lockwood, Peter Weiss, Filip Aronshtein, Guillaume Verdon
A Quantum Engineer's Guide to Superconducting Qubits
by Philip Krantz, Morten Kjaergaard, Fei Yan, Terry P. Orlando, Simon Gustavsson, William D. Oliver
Even shorter quantum circuit for phase estimation on early fault-tolerant quantum computers with applications to ground-state energy estimation
by Zhiyan Ding, Lin Lin
Estimating Eigenenergies from Quantum Dynamics: A Unified Noise-Resilient Measurement-Driven Approach
by Yizhi Shen, Daan Camps, Aaron Szasz, Siva Darbha, Katherine Klymko, David B. Williams-Young, Norm M. Tubman, Roel Van Beeumen
Convergence Analysis of Adaptive DIIS Algorithms with Application to Electronic Ground State Calculations
by Maxime Chupin, Mi-Song Dupuy, Guillaume Legendre, Eric Séré
Molecular properties by Jurgen Gauss
Notes and Presentations
Chanaka Mapa Mudiyanselage: Hybrid grid/basis set discretizations of the Schrödinger equation
Jack Mandell Quantum Dynamical Hamiltonian Monte Carlo
Ibrahim Abdulazeez Even Shorter Quantum Circuit for Phase Estimation on Early Fault-Tolerant Quantum Computers
Talha Aziz Molecular properties
Chanaka Mapa Mudiyanselage: Linear scaling coupled cluster and perturbation theories in the atomic orbital basis
Jack Mandell A Quantum Engineer’s Guide to Superconducting Qubits
Ibrahim Abdulazeez Estimating Eigenenergies from Quantum Dynamics: A Unified Noise-Resilient Measurement-Driven Approach