Platonic Entanglement
Quantum Physics
2023-01-10 v1
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.
Keywords
Cite
@article{arxiv.2107.04329,
title = {Platonic Entanglement},
author = {José I. Latorre and Germán Sierra},
journal= {arXiv preprint arXiv:2107.04329},
year = {2023}
}
Comments
6 pages, 3 figures