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Quantum Physics

arXiv:2411.02630 (quant-ph)
[Submitted on 4 Nov 2024]

Title:Multipartite entanglement structures in quantum stabilizer states

Authors:Vaibhav Sharma, Erich J Mueller
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Abstract: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 extract a number of traditional quantities such as entanglement depth and entanglement entropy. 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.
Comments: 9 pages, 7 figures
Subjects: Quantum Physics (quant-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn); Other Condensed Matter (cond-mat.other)
Cite as: arXiv:2411.02630 [quant-ph]
  (or arXiv:2411.02630v1 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.2411.02630

Submission history

From: Vaibhav Sharma [view email]
[v1] Mon, 4 Nov 2024 21:42:48 UTC (140 KB)
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