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gptkbp:instanceOf
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gptkb:organization
gptkb:quantum_information_theory_concept
|
|
gptkbp:appliesTo
|
quantum systems
|
|
gptkbp:defines
|
S(ρ) = -Tr(ρ log ρ)
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|
gptkbp:generalizes
|
classical entropy
|
|
gptkbp:hasUnit
|
bit
nat
|
|
gptkbp:introducedIn
|
1932
|
|
gptkbp:isMaximumFor
|
maximally mixed states
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|
gptkbp:isZeroFor
|
pure states
|
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gptkbp:mathematicalDomain
|
operator theory
linear algebra
|
|
gptkbp:measures
|
quantum state uncertainty
|
|
gptkbp:namedAfter
|
gptkb:John_von_Neumann
|
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gptkbp:property
|
concavity
strong subadditivity
subadditivity
unitary invariance
|
|
gptkbp:relatedTo
|
gptkb:Shannon_entropy
gptkb:quantum_mutual_information
entanglement entropy
quantum relative entropy
|
|
gptkbp:symbol
|
S(ρ)
|
|
gptkbp:usedFor
|
analyze quantum channels
measure mixedness of quantum states
quantify entanglement
study quantum thermodynamics
|
|
gptkbp:usedIn
|
gptkb:quantum_information_theory
quantum statistical mechanics
|
|
gptkbp:bfsParent
|
gptkb:quantum_information_theory
|
|
gptkbp:bfsLayer
|
5
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
von Neumann entropy
|