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Trapped Ion Quantum Computing
Matrix Product States in Quantum Spin Chains
arXiv
Authors: Abdessatar Souissi, Amenallah Andolsi
Year
2024
Paper ID
37172
Status
Preprint
Abstract Read
~2 min
Abstract Words
75
Citations
N/A
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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- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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- In this work, we present a novel representation of matrix product states (MPS) within the framework of quasi-local algebras.
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