Multipartite entanglement structures in quantum stabilizer states Article Swipe
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· 2025
· Open Access
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· DOI: https://doi.org/10.1103/1cqt-8rxf
We develop a method for visualizing the internal structure of multipartite entanglement in pure stabilizer states. Our algorithm graphically organizes the many-body correlations in a hierarchical structure. This provides a rich taxonomy from which one can simultaneously extract many quantitative features of a state including some traditional quantities such as entanglement depth, k-uniformity and entanglement entropy. Our method also presents an alternative computational tool for extracting the exact entanglement depth and all separable partitions of a stabilizer state. Our construction is gauge invariant and goes beyond traditional entanglement measures by visually revealing how quantum information and entanglement is distributed. We use this tool to analyze the internal structures of prototypical stabilizer states (GHZ state, cluster state, stabilizer error correction codes) and are able to contrast the complexity of highly entangled volume law states generated by random unitary operators and random projective measurements.
Related Topics
- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.1103/1cqt-8rxf
- OA Status
- green
- References
- 42
- Related Works
- 10
- OpenAlex ID
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Raw OpenAlex JSON
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https://openalex.org/W4404356291Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/1cqt-8rxfDigital Object Identifier
- Title
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Multipartite entanglement structures in quantum stabilizer statesWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-06-16Full publication date if available
- Authors
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Vaibhav Sharma, Erich J. MuellerList of authors in order
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https://doi.org/10.1103/1cqt-8rxfPublisher landing page
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2411.02630Direct OA link when available
- Concepts
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Quantum entanglement, Multipartite entanglement, Multipartite, Stabilizer (aeronautics), W state, Quantum, Quantum mechanics, Quantum state, Squashed entanglement, Physics, Mathematics, Engineering, Mechanical engineeringTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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42Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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