Quantum / CONCEPT
Determinant-integral subentropy
Subentropy through a determinant integral, with rectangular Gram and isometric invariance.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES8
PROOF DEPTH6
DOCUMENT LINKS0
Rectangular Gram kernels
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A strong-subadditivity counterexample for subentropytruth-dependency · Closed
- Classical kernel boundstruth-dependency · Closed
- Classical-quantum Gram realizationtruth-dependency · Closed
- Conditional subentropy and guessingtruth-dependency · Closed
- Finite sign twirls and entropy gapstruth-dependency · Closed
- Purify-and-clone is not optimal for one-site worst-case risktruth-dependency · Closed
- The simple-spectrum subentropy formulatruth-dependency · Closed
- Two uniform subentropy valuestruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A product-state bound excludes parallel exponent onestructural-affinity · Closed
- A strong-subadditivity counterexample for subentropystructural-affinity · Closed
- Amplitude-damping channels resist perfect measure-and-prepare cloningstructural-affinity · Closed
- Classical kernel boundsstructural-affinity · Closed
- Classical-quantum Gram realizationstructural-affinity · Closed
- Conditional subentropy and guessingstructural-affinity · Closed
- Density-matrix kernels and continuitystructural-affinity · Closed
- Fibonacci carry output algebrastructural-affinity · Closed
- Finite sign twirls and entropy gapsstructural-affinity · Closed
- Lidar Restricted Anticoncentration Refutationstructural-affinity · Closed
- Optimal quantum states depend on the Renyi ordersstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- The diagonal Gaussian entropy expectationstructural-affinity · Closed
- The exact three-coherence Ramsey thresholdstructural-affinity · Closed
- The simple-spectrum subentropy formulastructural-affinity · Closed
- Total spectral rows and direct concatenationstructural-affinity · Closed
- Two uniform subentropy valuesstructural-affinity · Closed
- Two-qubit conditional domains need not be subalgebrasstructural-affinity · Closed
- Uniform subentropy kernel integralsstructural-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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