Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices
| Autor: | Dardo Goyeneche, José I. Latorre, Daniel Alsina, Karol Życzkowski, Arnau Riera |
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| Rok vydání: | 2015 |
| Předmět: |
High Energy Physics - Theory
Physics Discrete mathematics Quantum Physics FOS: Physical sciences Quantum entanglement 01 natural sciences Teleportation Unitary state Multipartite entanglement Atomic and Molecular Physics and Optics 010305 fluids & plasmas Multipartite Combinatorial design High Energy Physics - Theory (hep-th) Quantum state Quantum mechanics 0103 physical sciences Tensor Quantum Physics (quant-ph) 010306 general physics Astrophysics::Galaxy Astrophysics |
| Zdroj: | Physical Review A. 92 |
| ISSN: | 1094-1622 1050-2947 |
| DOI: | 10.1103/physreva.92.032316 |
| Popis: | Absolutely Maximally Entangled (AME) states are those multipartite quantum states that carry absolute maximum entanglement in all possible partitions. 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, namely their relation to tensors that can be understood as unitary transformations in every of its bi-partitions. We call this property multi-unitarity. 18 pages, 2 figures. Comments are very welcome |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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