Bulk private curves require large conditional mutual information
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep09(2021)042
Abstract: Abstract We prove a theorem showing that the existence of “private” curves in the bulk of AdS implies two regions of the dual CFT share strong correlations. A private curve is a causal curve which… read more here.
Keywords: mutual information; private curves; bulk private; causal curve ... See more keywords
Quantum Approximate Markov Chains are Thermal
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DOI: 10.1007/s00220-019-03485-6
Abstract: We prove that any one-dimensional (1D) quantum state with small quantum conditional mutual information in all certain tripartite splits of the system, which we call a quantum approximate Markov chain, can be well-approximated by a… read more here.
Keywords: quantum; quantum approximate; mutual information; conditional mutual ... See more keywords
Quantifying non-Markovianity via conditional mutual information
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DOI: 10.1103/physreva.104.032212
Abstract: In this paper, we study measures of quantum non-Markovianity based on the conditional mutual information. We obtain such measures by considering multiple parts of the total environment such that the conditional mutual informations can be… read more here.
Keywords: quantifying non; non markovianity; conditional mutual; mutual information ... See more keywords
Information Bottleneck Analysis by a Conditional Mutual Information Bound
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DOI: 10.3390/e23080974
Abstract: Task-nuisance decomposition describes why the information bottleneck loss I(z;x)−βI(z;y) is a suitable objective for supervised learning. The true category y is predicted for input x using latent variables z. When n is a nuisance independent… read more here.
Keywords: information; information bottleneck; bound; mutual information ... See more keywords