Quantum / CONCEPT
Von Neumann Entropy Under Basis Pinching
Von Neumann entropy is compatible with quantum relative entropy, and basis pinching has an exact entropy gain when the target logarithm is diagonal.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES6
PROOF DEPTH4
DOCUMENT LINKS1
Basis pinching gains exactly the relative entropy
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Entropy Increase Under Basis Pinchingtruth-dependency · Closed
- Entropy Production by Coherence Deletiontruth-dependency · Closed
- Gibbs Variational Identitytruth-dependency · Closed
- Partial Trace and Quantum Mutual Informationtruth-dependency · Closed
- Selective LOCC can increase the Moreau-Yosida entanglement of formationtruth-dependency · Closed
- The Free-Negentropy Budgettruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Basis-Measurement Projectionstructural-affinity · Closed
- Entropy Increase Under Basis Pinchingstructural-affinity · Closed
- Entropy Production by Coherence Deletionstructural-affinity · Closed
- Gibbs Variational Identitystructural-affinity · Closed
- Invariant States of Finite-Dimensional Channelsstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Quantum Relative-Entropy Defect Compositionstructural-affinity · Closed
- Selective LOCC can increase the Moreau-Yosida entanglement of formationstructural-affinity · Closed
- The Free-Negentropy Budgetstructural-affinity · Closed
- Unread-State Orthogonal Projectionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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