Quantum / CONCEPT
Spectral powers and matrix positivity
Real spectral powers and Log-Euclidean means of finite complex matrices, with elementary power identities and a two-dimensional positivity criterion.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES12
PROOF DEPTH1
DOCUMENT LINKS0
The first power
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A counterexample to Fan–Wu–Fei channel coherence dominationtruth-dependency · Closed
- A counterexample to mixed-power norm monotonicitytruth-dependency · Closed
- A counterexample to the maximal reverse Pinsker boundtruth-dependency · Closed
- A counterexample to Wasserstein power monotonicitytruth-dependency · Closed
- A power-mean counterexample in the Euclidean operator normtruth-dependency · Closed
- A triangle inequality fails for unified-entropy correlationstruth-dependency · Closed
- Positive Pauli Clock Ordertruth-dependency · Closed
- Sra: reciprocal-permanent Lorentzian assertiontruth-dependency · Closed
- Tensor averages and asymptotic overlapstruth-dependency · Closed
- The explicit right-polar blockstruth-dependency · Closed
- The spectral geometric Log-Euclidean comparison failstruth-dependency · Closed
- Wasserstein power means and eigenvalue productstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A counterexample to Fan–Wu–Fei channel coherence dominationstructural-affinity · Closed
- A counterexample to mixed-power norm monotonicitystructural-affinity · Closed
- A counterexample to the maximal reverse Pinsker boundstructural-affinity · Closed
- A counterexample to Wasserstein power monotonicitystructural-affinity · Closed
- A power-mean counterexample in the Euclidean operator normstructural-affinity · Closed
- A triangle inequality fails for unified-entropy correlationsstructural-affinity · Closed
- Address-Record Correlation Monogamystructural-affinity · Closed
- An Exact Qutrit Quartic-Context Witnessstructural-affinity · Closed
- Deterministic Readout Commutativitystructural-affinity · Closed
- Exact Additive Pricing and Higher-Degree Pruningstructural-affinity · Closed
- Finite-Dimensional Quantum Skeletonsstructural-affinity · Closed
- First-level inexactness on the weighted-crown intervalstructural-affinity · Closed
- Gingrich's proposed three-qubit monotone increases on average under a local measurementstructural-affinity · Closed
- Positive Pauli Clock Orderstructural-affinity · Closed
- Pronko's Dyck-class operator commutes with the periodic Fredkin Hamiltonianstructural-affinity · Closed
- Sra: reciprocal-permanent Lorentzian assertionstructural-affinity · Closed
- Tensor averages and asymptotic overlapsstructural-affinity · Closed
- The explicit right-polar blocksstructural-affinity · Closed
- The spectral geometric Log-Euclidean comparison failsstructural-affinity · Closed
- Wasserstein power means and eigenvalue productsstructural-affinity · Closed
- Weighted crown moment certificatestructural-affinity · Closed
- Weighted crown spectral boundstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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