Quantum / CONCEPT
Subadditivity of quantum states over time
The Werner–Holevo channel on the maximally mixed five-level state gives a two-time pseudo-density matrix whose signed entropy exceeds the sum of its marginal entropies.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES1
PROOF DEPTH7
DOCUMENT LINKS0
Functional calculus of an affine projection
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Data processing fails for the cumulant-based Renyi functional at every order above onetruth-dependency · Closed
- Path and Spectral Forms of the Log-Determinant Divergencetruth-dependency · Closed
- Refutation of completely contractive CMI data processingtruth-dependency · Closed
- The Choi spectrum of unital product-unitary-equivariant mapstruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- An extreme POVM with rank vector (3,3,2,2,2,2,2,2)structural-affinity · Closed
- Concealment does not determine the adjoint kernelstructural-affinity · Closed
- Data processing fails for the cumulant-based Renyi functional at every order above onestructural-affinity · Closed
- Fuchs's physical-basis logarithm question is falsestructural-affinity · Closed
- Noninteger parameters do not ensure injectivity on integer partitionsstructural-affinity · Closed
- Off-midpoint obstruction for the original spectral meanstructural-affinity · Closed
- Path and Spectral Forms of the Log-Determinant Divergencestructural-affinity · Closed
- Refutation of completely contractive CMI data processingstructural-affinity · Closed
- Subsystem size does not order coherent informationstructural-affinity · Closed
- The Choi spectrum of unital product-unitary-equivariant mapsstructural-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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