Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:organization
quantum information theory concept |
| gptkbp:appliesTo |
quantum systems
|
| gptkbp:defines |
S(ρ) = -Tr(ρ log ρ)
|
| gptkbp:generalizes |
classical entropy
|
| gptkbp:hasUnit |
bit
nat |
| https://www.w3.org/2000/01/rdf-schema#label |
von Neumann entropy
|
| gptkbp:introducedIn |
1932
|
| gptkbp:isMaximumFor |
maximally mixed states
|
| gptkbp:isZeroFor |
pure states
|
| gptkbp:mathematicalDomain |
operator theory
linear algebra |
| gptkbp:measures |
quantum state uncertainty
|
| gptkbp:namedAfter |
gptkb:John_von_Neumann
|
| 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
|