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Entanglement Theory Quantum Correlations

Platonic Entanglement

arXiv
Authors: José I. Latorre, Germán Sierra

Year

2021

Paper ID

63361

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

We present a construction of highly entangled states defined on the topology of a platonic solid using tensor networks based on ancillary Absolute Maximally Entangled (AME) states. We illustrate the idea using the example of a quantum state based on AME(5,2) over a dodecahedron. We analyze the entropy of such states on many different partitions, and observe that they come on integer numbers and are almost maximal. We also observe that all platonic solids accept the construction of AME states based on Reed-Solomon codes since their number of facets, vertices and edges are always a prime number plus one.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • We present a construction of highly entangled states defined on the topology of a platonic solid using tensor networks based on ancillary Absolute Maximally Entangled (AME) states.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2107.04329 [2] arXiv https://arxiv.org/abs/2107.04329 [3] Publisher https://arxiv.org/abs/2107.04329

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