Quantum / CONCEPT
Entropy under entrywise modulus in dimension three
Entrywise modulus increases trace-log entropy for positive semidefinite three-by-three matrices.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES2
PROOF DEPTH7
DOCUMENT LINKS0
Spectral trace-log formula
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A coherence-vector and spectrum product boundstructural-affinity · Closed
- A counterexample to the radial convexity characterizationstructural-affinity · Closed
- Cartesian variancestructural-affinity · Closed
- Coherent discrimination bias is not a channel metricstructural-affinity · Closed
- Maximum marginal entropy can increase under a local measurementstructural-affinity · Closed
- Path and Spectral Forms of the Log-Determinant Divergencestructural-affinity · Closed
- Radial convexity and endpoint derivativesstructural-affinity · Closed
- Record Fixed Algebra Decompositionstructural-affinity · Closed
- Subsystem size does not order coherent informationstructural-affinity · Closed
- The diagonal difference boundstructural-affinity · Closed
- The Log-Determinant Divergencestructural-affinity · Closed
- The rational functional-calculus expressionstructural-affinity · Closed
- The three-state root-fidelity Holevo boundstructural-affinity · Closed
- Weil: Hermitian Pos Partstructural-affinity · Closed
- Weil: Pos Indexstructural-affinity · Closed
- Zero diagonal blocksstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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