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Statements

Subject Item
dbr:Generalized_relative_entropy
rdfs:label
Generalized relative entropy
rdfs:comment
Generalized relative entropy (-relative entropy) is a measure of dissimilarity between two quantum states. It is a "one-shot" analogue of quantum relative entropy and shares many properties of the latter quantity. In the asymptotic scenario, relative entropy acts as a parent quantity for other measures besides being an important measure itself. Similarly, -relative entropy functions as a parent quantity for other measures in the one-shot scenario.
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dbc:Quantum_mechanical_entropy
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41299466
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1051055566
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dbr:Information_theory dbr:Hypothesis_testing dbr:Quantum_information_theory dbr:Hilbert_space dbr:Quantum_channel dbr:Von_Neumann_entropy dbr:Data_processing_inequality dbr:Strong_subadditivity dbc:Quantum_mechanical_entropy dbr:Strong_subadditivity_of_quantum_entropy dbr:Mutual_information dbr:Quantum_states dbr:Trace_distance dbr:Min-entropy dbr:Quantum_relative_entropy dbr:Reduced_density_matrices dbr:Entropic_value_at_risk dbr:POVM dbr:Quantum_operation
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Generalized relative entropy (-relative entropy) is a measure of dissimilarity between two quantum states. It is a "one-shot" analogue of quantum relative entropy and shares many properties of the latter quantity. In the study of quantum information theory, we typically assume that information processing tasks are repeated multiple times, independently. The corresponding information-theoretic notions are therefore defined in the asymptotic limit. The quintessential entropy measure, von Neumann entropy, is one such notion. In contrast, the study of one-shot quantum information theory is concerned with information processing when a task is conducted only once. New entropic measures emerge in this scenario, as traditional notions cease to give a precise characterization of resource requirements. -relative entropy is one such particularly interesting measure. In the asymptotic scenario, relative entropy acts as a parent quantity for other measures besides being an important measure itself. Similarly, -relative entropy functions as a parent quantity for other measures in the one-shot scenario.
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wikipedia-en:Generalized_relative_entropy?oldid=1051055566&ns=0
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wikipedia-en:Generalized_relative_entropy
Subject Item
dbr:Entropic_value_at_risk
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dbr:Generalized_relative_entropy
Subject Item
dbr:Min-entropy
dbo:wikiPageWikiLink
dbr:Generalized_relative_entropy
Subject Item
dbr:Mark_Wilde
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dbr:Generalized_relative_entropy
Subject Item
wikipedia-en:Generalized_relative_entropy
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dbr:Generalized_relative_entropy