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arXiv · 2411.04149

Matrix Product States in Quantum Spin Chains

Abdessatar Souissi·Amenallah Andolsi
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Abstract

In this work, we present a novel representation of matrix product states (MPS) within the framework of quasi-local algebras. By introducing an enhanced compatibility condition, we enable the extension of finite MPS to an infinite-volume state, providing new insights into complex, high-dimensional quantum systems. As an illustrative example, we apply this method to the Greenberger-Horne-Zeilinger (GHZ) state. This approach offers significant potential for advancing theoretical frameworks and practical methodologies in the field of quantum information.

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Abdessatar Souissi, Amenallah Andolsi. 2024-11-05. Matrix Product States in Quantum Spin Chains. https://arxiv.org/abs/2411.04149

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