Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices Citation

Abstract

Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Absolutely maximally entangled (AME) states are those multipartite quantum states that carry absolute maximum entanglement in all possible bipartitions. AME states are known to play a relevant role in multipartite teleportation, in quantum secret sharing, and they provide the basis novel tensor networks related to holography. We present alternative constructions of AME states and show their link with combinatorial designs. We also analyze a key property of AME states, namely, their relation to tensors, which can be understood as unitary transformations in all of their bipartitions. We call this property multiunitarity.

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Cite this paper

@inproceedings{Goyeneche2015AbsolutelyME, title={Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices Citation}, author={Goyeneche and Dardo and Daniel Alsina and Jos{\'e} I. Latorre and Arnau Riera and Dardo Goyeneche and Karol Zyczkowski}, year={2015} }