Monogamy of correlations and entropy inequalities in the Bloch picture

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14610%2F20%3A00124676" target="_blank" >RIV/00216224:14610/20:00124676 - isvavai.cz</a>
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/2399-6528/ab6fb4" target="_blank" >https://iopscience.iop.org/article/10.1088/2399-6528/ab6fb4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/2399-6528/ab6fb4" target="_blank" >10.1088/2399-6528/ab6fb4</a>

Result language
angličtina
Original language name
Monogamy of correlations and entropy inequalities in the Bloch picture
Original language description
We investigate monogamy of correlations and entropy inequalities in the Bloch representation. Here, both can be understood as direct relations between different correlation tensor elements and thus appear intimately related. To that end we introduce the split Bloch basis, that is particularly useful for representing quantum states with low dimensional support and thus amenable to purification arguments. Furthermore, we find dimension dependent entropy inequalities for the Tsallis 2-entropy. In particular, we present an analogue of the strong subadditivity and a quadratic entropy inequality. These relations are shown to be stronger than subadditivity for finite dimensional cases.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10306 - Optics (including laser optics and quantum optics)

Project
<a href="/en/project/GF17-33780L" target="_blank" >GF17-33780L: Multipartite Quantum Entanglement and Security</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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