Quantum / CONCEPT
Refutation of completely contractive CMI data processing
A dephasing-plus-shift channel has only scalar correctable observables on the whole input space, yet preserves positive conditional mutual information for a singular input state.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES6
PROOF DEPTH6
DOCUMENT LINKS0
Entropy of an arbitrary real diagonal matrix
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A counterexample to Zhang–Wu–Fei superadditivitytruth-dependency · Closed
- A qudit counterexample to genuine entropic tetrahedratruth-dependency · Closed
- Maximum marginal entropy can increase under a local measurementtruth-dependency · Closed
- Subadditivity of quantum states over timetruth-dependency · Closed
- Temporal Schatten subadditivity is falsetruth-dependency · Closed
- The three-state root-fidelity Holevo boundtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A counterexample to the Young-subgroup cross-sum inequalitystructural-affinity · Closed
- A counterexample to Zhang–Wu–Fei superadditivitystructural-affinity · Closed
- A product-state bound excludes parallel exponent onestructural-affinity · Closed
- A qudit counterexample to genuine entropic tetrahedrastructural-affinity · Closed
- Amplitude-damping channels resist perfect measure-and-prepare cloningstructural-affinity · Closed
- An explicit source amplitudestructural-affinity · Closed
- Canonical purification with the correct complex-state marginalstructural-affinity · Closed
- Fibonacci carry output algebrastructural-affinity · Closed
- Finite Kraus Quantum Channelsstructural-affinity · Closed
- Flat Sector Rank Feasibilitystructural-affinity · Closed
- Maximum marginal entropy can increase under a local measurementstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Subadditivity of quantum states over timestructural-affinity · Closed
- Subsystem size does not order coherent informationstructural-affinity · Closed
- Temporal Schatten subadditivity is falsestructural-affinity · Closed
- The explicit right-polar blocksstructural-affinity · Closed
- The simple-spectrum subentropy formulastructural-affinity · Closed
- The three-state root-fidelity Holevo boundstructural-affinity · Closed
- Total spectral rows and direct concatenationstructural-affinity · Closed
- Trace-norm CMI contraction conjecturestructural-affinity · Closed
- Two uniform subentropy valuesstructural-affinity · Closed
- Two-qubit conditional domains need not be subalgebrasstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance