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Min-entropy

The min-entropy, in information theory, is the smallest of the Rényi family of entropies, corresponding to the most conservative way of measuring the unpredictability of a set of outcomes, as the negative logarithm of the probability of the most likely outcome. The various Rényi entropies are all equal for a uniform distribution, but measure the…

Definition for quantum states, Operational interpretation of smoothed min-entropy & Conditional entropies

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Definition for quantum states

Quantum statePOVMOperator norm
3 related topics

Operational interpretation of smoothed min-entropy

Semidefinite programsChoi–Jamiołkowski isomorphismBell state
3 related topics

Conditional entropies

Fidelity
1 related topics

Overview

Information theoryMax-entropyShannon entropyVon Neumann entropyConditional quantum entropy
9 related topics

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Definition for quantum states

Conditional entropies

Operational interpretation of smoothed min-entropy

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Min-entropy

Nodes21
Edges20
Triples40
Avg. degree1.9
Density0.095238
Components1

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Min-entropy

Top relations

related to Min-entropy as uncertainty about classical information · 10
Min-entropy → Furthermore, If, In, It, Let, POVM, Suppose, This, We, XB
related to Proof of operational characterization of min-entropy · 10
Min-entropy → AB, From, It, König, Renner, Schaffner, Suppose, The, This, Tr
related to Conditional entropies · 9
Min-entropy → AB, BC, For, Indeed, Let, Neumann, The, These, This
related to Definition for quantum states · 5
Min-entropy → Formally, Pi, POVM, There, Using
related to Definition for classical distributions · 4
Min-entropy → From, If, One, This
is a · 1
Min-entropy → one-shot
related to Operational interpretation of smoothed min-entropy · 1
Min-entropy → Henceforth

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Important terminology

displaystyle rho min state quantum max ab entropy probability otimes conditional tr classical system log operatorname defined information mathcal sigma

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Min-entropyis aone-shot0.90text
Min-entropyrelated to Conditional entropiesLet0.60section
Min-entropyrelated to Conditional entropiesAB0.60section
Min-entropyrelated to Conditional entropiesThe0.60section
Min-entropyrelated to Conditional entropiesThis0.60section
Min-entropyrelated to Conditional entropiesThese0.60section
Min-entropyrelated to Conditional entropiesNeumann0.60section
Min-entropyrelated to Conditional entropiesIndeed0.60section
Min-entropyrelated to Conditional entropiesFor0.60section
Min-entropyrelated to Conditional entropiesBC0.60section
Min-entropyrelated to Definition for classical distributionsIf0.60section
Min-entropyrelated to Definition for classical distributionsOne0.60section

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