QDGPUS · Quantum Darwinism with GPU-accelerated numerical simulations- study of the transition from the quantum to the classical

Quantum Darwinism describes how quantum systems lose their quantum properties and become classical and objective due to interactions with the environment. The standard Copenhagen interpretation simplifies this process as an instant wave function collapse. Understanding the details of this quantum to classical transition is an essential scientific as well as a philosophical question. Practically, it could lead to better isolation of quantum systems, resulting in more efficient experiments, and reduced errors in quantum computers. This project will utilize Graphics-Processing-Unit(GPU)-accelerated numerical simulations to model the environment and its interaction with the system of interest in detail. The simulation software will be developed from pre-existing software created by the Researcher, resulting in a fast and efficient process. Recent advances in GPU technology will enable the study of around 30 qubits (or equivalent for other systems). These simulations will be used as a tool and a testbed to study the dynamics of the Quantum Darwinist quantum to classical transition process, and to explore the impact of the initial state and internal dynamics of the environment. Firstly, we will study different measures of nonclassicality, particularly one based on the Kirkwood-Dirac quasiprobability distribution, and compare and correlate them with quantum discord, usually used in the context of Quantum Darwinism. We will also model weak measurement and its impact. Secondly, we will find the mathematical conditions for the emergence of a Spectrum Broadcast Structure (a condition stronger than Quantum Darwinism), with respect to the environment's initial state and dynamics. Thirdly, we will study in detail the compatibility of objectivity and thermal states, and intermediate phases that might emerge during the transition. The software developed will be made open-source, and published with an instruction manual for the benefit of the scientific community.