1. Unitary Dynamics for Open Quantum Systems with Density-Matrix Purification
- Author
-
Delgado-Granados, Luis H., Warren, Samuel, and Mazziotti, David A.
- Subjects
Quantum Physics ,Physics - Chemical Physics ,Physics - Computational Physics - Abstract
Accurate modeling of quantum systems interacting with environments requires addressing non-unitary dynamics, which significantly complicates computational approaches. In this work, we enhance an open quantum system (OQS) theory using density-matrix purification, enabling a unitary description of dynamics by entangling the system with an environment of equal dimension. We first establish the connection between density-matrix purification and conventional OQS methods. We then demonstrate the standalone applicability of purification theory by deriving system-environment interactions from fundamental design principles. Using model systems, we show that the purification approach extends beyond the complete positivity condition and effectively models both Markovian and non-Markovian dynamics. Finally, we implement density-matrix purification on a quantum simulator, illustrating its capability to map non-unitary OQS dynamics onto a unitary framework suitable for quantum computers.
- Published
- 2024