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 CONSEQUENCES2
PROOF DEPTH4
DOCUMENT LINKS1
Basis pinching gains exactly the relative entropy
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Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Basis-Measurement Projectionstructural-affinity · Closed
- Bipartite Hermitian Sector Decompositionstructural-affinity · Closed
- Entropy Increase Under Basis Pinchingstructural-affinity · Closed
- Entropy Production by Coherence Deletionstructural-affinity · Closed
- Finite Zeta Thermal States Are Fixed by Basis Pinchingstructural-affinity · Closed
- Informational Completeness Equivalencestructural-affinity · Closed
- Local Observation Partial-Trace Equivalencestructural-affinity · Closed
- Mixed-State Robertson Uncertaintystructural-affinity · Closed
- Purity Pythagoras Decompositionstructural-affinity · Closed
- Quantum Relative-Entropy Defect Compositionstructural-affinity · Closed
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