Abstract:
In this presentation, I will provide an instructive overview of a method for determining exact quantum dynamics by decoupling the Heisenberg system of equations into blocks of polynomial complexity. Ordinarily, finding a Heisenberg representation of a local observable in a many-qubit system is a formidable task. However, there are specific systems where this can be accomplished efficiently. We will explore systems such as the disordered XY spin chain in a magnetic field and the associated class of circuits known as matchgate. Additionally, we will discuss how to account for dissipation in these systems. We will also discuss how to apply this method for more complicated Hamiltonians such as, for example, Kitaev model, which are not quadratic in fermionic representation.
Biography:
Igor Ermakov earned his Bachelor's degree in Physics from Ural Federal University in 2014, followed by a Master's degree in Physics from Saint Petersburg State University in 2017. He then spent a year as an intern at the Quantum Technology Lab at NYU Shanghai. In October 2018, he was accepted into the PhD program at Skoltech Institute of Science and Technology. Since 2019, he has been working at the Steklov Institute of Mathematics in the Laboratory of Mathematical methods for Quantum Technologies. He completed his PhD in Physics at Skoltech in November 2022. As of 2023, he has also been affiliated with the Russian Quantum Center.
Seminar by the NYU-ECNU Institute of Physics at NYU Shanghai