Stochastic Differential Equations for Quantum Dynamics
Einar Gabbassov
Open quantum systems are quantum systems that interact with an external environment and exhibit dynamics fundamentally distinct from isolated systems. These interactions give rise to decoherence and dissipation, which are crucial for understanding quantum technologies and the limits of quantum information processing. In this talk, we will familiarize ourselves with the mathematical framework for describing the dynamics of open quantum systems, with a focus on the Stochastic Schrödinger Equation (SSE). The SSE provides a more general and powerful approach to modelling trajectories of quantum states. Along the way, we will examine basic quantum channels that model common errors. We will explore how these channels give rise to both deterministic and stochastic dynamical descriptions. Furthermore, we will take an informal look at the essentials of stochastic (Itô) calculus, which underpins the formulation of SSE. The talk is designed to be accessible to a general audience in mathematics and physics.
Location
QNC 1201