Quantum / CONCEPT
Entropy Production by Coherence Deletion
Unitary evolution followed by coordinate-basis pinching produces entropy equal to the deleted coherence, with nonnegative gains that telescope.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES17
PROOF DEPTH5
DOCUMENT LINKS0
Finite diagonal functional calculus
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A counterexample to mixed-power norm monotonicitytruth-dependency · Closed
- A counterexample to Zhang–Wu–Fei superadditivitytruth-dependency · Closed
- A mixed-state counterexample to the quantum inverse sumset boundtruth-dependency · Closed
- A positive block does not force normalitytruth-dependency · Closed
- A positive map reflecting positive contractionstruth-dependency · Closed
- Actual relative modular modeltruth-dependency · Closed
- Canonical Quantum Channel Data Processingtruth-dependency · Closed
- Classical finite mixturestruth-dependency · Closed
- Coherent Premeasurement and Correlation Taxtruth-dependency · Closed
- Data processing fails for the cumulant-based Renyi functional at every order above onetruth-dependency · Closed
- Energy and Information with Initial Correlationstruth-dependency · Closed
- Fuchs's physical-basis logarithm question is falsetruth-dependency · Closed
- Lieb overlap and the weighted resolvent budgettruth-dependency · Closed
- Order-three Renyi information combiningtruth-dependency · Closed
- PositiveMapJensentruth-dependency · Closed
- The three-state root-fidelity Holevo boundtruth-dependency · Closed
- Word traces do not control fractional Schatten normstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A counterexample to mixed-power norm monotonicitystructural-affinity · Closed
- A counterexample to Zhang–Wu–Fei superadditivitystructural-affinity · Closed
- A mixed-state counterexample to the quantum inverse sumset boundstructural-affinity · Closed
- A positive block does not force normalitystructural-affinity · Closed
- A positive map reflecting positive contractionsstructural-affinity · Closed
- Actual relative modular modelstructural-affinity · Closed
- Canonical Quantum Channel Data Processingstructural-affinity · Closed
- Classical finite mixturesstructural-affinity · Closed
- Coherent Premeasurement and Correlation Taxstructural-affinity · Closed
- Data processing fails for the cumulant-based Renyi functional at every order above onestructural-affinity · Closed
- Energy and Information with Initial Correlationsstructural-affinity · Closed
- Failure of differentiabilitystructural-affinity · Closed
- Fuchs's physical-basis logarithm question is falsestructural-affinity · Closed
- Lieb overlap and the weighted resolvent budgetstructural-affinity · Closed
- Local output compression budgetsstructural-affinity · Closed
- Mixture boundsstructural-affinity · Closed
- Order-three Renyi information combiningstructural-affinity · Closed
- PositiveMapJensenstructural-affinity · Closed
- Projection Probability Flowstructural-affinity · Closed
- Static and Dynamic Projection Diagnostics Are Independentstructural-affinity · Closed
- SupportPerspectiveTransformerstructural-affinity · Closed
- SupportPerspectiveTransportstructural-affinity · Closed
- The physical Clifford ground sectorstructural-affinity · Closed
- The sharp upper endpoint of the Zhang–Jing power blockstructural-affinity · Closed
- The three-state root-fidelity Holevo boundstructural-affinity · Closed
- Von Neumann Entropy Under Basis Pinchingstructural-affinity · Closed
- Word Hankel Rank and Full-Block Recoverystructural-affinity · Closed
- Word traces do not control fractional Schatten normsstructural-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