Entanglement classification with matrix product states

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33159810" target="_blank" >RIV/61989592:15310/16:33159810 - isvavai.cz</a>
Result on the web
<a href="http://www.nature.com/articles/srep30188" target="_blank" >http://www.nature.com/articles/srep30188</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1038/srep30188" target="_blank" >10.1038/srep30188</a>

Result language
angličtina
Original language name
Entanglement classification with matrix product states
Original language description
We propose an entanglement classification for symmetric quantum states based on their diagonal matrix-product-state (MPS) representation. The proposed classification, which preserves the stochastic local operation assisted with classical communication (SLOCC) criterion, relates entanglement families to the interaction length of Hamiltonians. In this manner, we establish a connection between entanglement classification and condensed matter models from a quantum information perspective. Moreover, we introduce a scalable nesting property for the proposed entanglement classification, in which the families for N parties carry over to the N + 1 case. Finally, using techniques from algebraic geometry, we prove that the minimal nontrivial interaction length n for any symmetric state is bounded by n {= left perpendicular N/2 right perpendicular + 1.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BH - Optics, masers and lasers
OECD FORD branch
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Project
<a href="/en/project/EE2.3.30.0041" target="_blank" >EE2.3.30.0041: POST-UP II.</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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