Unitary Dynamics for Open Quantum Systems with Density-Matrix Purification
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911901983703040 |
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| author | Delgado-Granados, Luis H. Warren, Samuel Mazziotti, David A. |
| author_facet | Delgado-Granados, Luis H. Warren, Samuel Mazziotti, David A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01783 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unitary Dynamics for Open Quantum Systems with Density-Matrix Purification Delgado-Granados, Luis H. Warren, Samuel Mazziotti, David A. Quantum Physics Chemical Physics Computational Physics 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. |
| title | Unitary Dynamics for Open Quantum Systems with Density-Matrix Purification |
| topic | Quantum Physics Chemical Physics Computational Physics |
| url | https://arxiv.org/abs/2406.01783 |