Quantum Dynamics Tutorial

A Tutorial on Quantum Dynamics Simulations on Quantum Computers. Part I: Closed Systems

Brandon Allen, Delmar G. A. Cabral, Nam Vu, Cameron Cianci, Xiaohan Dan, and Victor S. Batista

This tutorial provides a user friendly introduction to quantum dynamics simulations on quantum computers, suitable to a diverse audience. It covers the basics with hands-on examples gradually increasing in complexity. The tutorial is split in three parts. Part I focuses on closed quantum systems, using techniques like the Suzuki-Trotter expansion and sum of unitaries to integrate the time-dependent Schrödinger equation.

Tutorial Part I (file download)
statics-vs_dynamics

A Tutorial on Quantum Dynamics Simulations on Quantum Computers. Part II: Open Systems

Yuchen Wang, Xiaohan Dan, Delmar G. A. Cabral, Saurabh Shivpuje, Zixuan Hu, Ningyi Lyu, Eitan Geva, Victor S. Batista, and Sabre Kais

This tutorial provides a user friendly introduction to quantum dynamics simulations on quantum computers, suitable to a diverse audience. It covers the basics with hands-on examples gradually increasing in complexity. The tutorial is split in three parts. Part II delves into of open quantum systems, using popular methods like the Lindblad equation that rely on the Markovian appoximation.

Tutorial Part II (file download)
Lindbladian radicals

A Tutorial on Quantum Dynamics Simulations on Quantum Computers. Part III: The Generalized Quantum Master Equation

Xiaohan Dan, Pouya Khazaei, Ningyi Lyu, Ellen Mulvihill, Yuchen Wang, Saurabh Baswaraj, Sabre Kais, Victor S. Batista, and Eitan Geva

This tutorial provides a user friendly introduction to quantum dynamics simulations on quantum computers, suitable to a diverse audience. It covers the basics with hands-on examples gradually increasing in complexity. The tutorial is split in three parts. Part III focuses on dynamics simulations of non-Markovian open quantum systems based on generalized quantum master equations, using numerical approaches based on the Sz.-Nagy dilation theorem…

Tutorial Part III (file download)
part_III_gqme