Unitary Dynamics for Open Quantum Systems with Density-Matrix Purification

• URL: http://arxiv.org/abs/2406.01783v1
• Date: Mon, 3 Jun 2024 21:00:24 GMT
• Title: Unitary Dynamics for Open Quantum Systems with Density-Matrix Purification
• Authors: Luis H. Delgado-Granados, Samuel Warren, David A. Mazziotti,
• Abstract summary: We enhance an open quantum system (OQS) theory using density-matrix purification. purification enables a unitary description of dynamics by entangling the system with an environment of equal dimension. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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