Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices
Name
PhysRevA.92.032316.pdf
Size
700.17 KB
Format
Adobe PDF
Checksum (MD5)
8dae1c2fac52cd7e621b69ce18ddffb4
Author(s)
Goyeneche, Dardo
Alsina, Daniel
Riera, Arnau
Latorre, Jose Ignacio
Zyczkowski, Karol
Date Issued
September 2015
Journal
Physical Review A
Publisher
American Physical Society
Citation
Goyeneche, Dardo, Daniel Alsina, Jose I. Latorre, Arnau Riera, and Karol Zyczkowski. "Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices." Phys. Rev. A 92, 032316 (September 2015). © 2015 American Physical Society
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
Terms of Use
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.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevA.92.032316
