Quantum / CONCEPT
Refuting the binary detection threshold conjecture
The Section 4.3 conjecture eta* = 4/(m+4) is refuted at m = 13 by a three-input leader model and a universal local extension at efficiency 6/25.
Closed
DIRECT PREREQUISITES8
DIRECT CONSEQUENCES1
PROOF DEPTH10
DOCUMENT LINKS0
A binary table is determined by its marginals and one entry
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Conditional Entropy under Completion Factorizationtruth-dependency · Closed
- Coordinate Sum-Product Updatetruth-dependency · Closed
- Failure of Uniform Raw-Correlation Confidencetruth-dependency · Closed
- Finite Convex Hulls for Declared Probability Constraintstruth-dependency · Closed
- Future-Word Information Chaintruth-dependency · Closed
- Green-Class Window Entropytruth-dependency · Closed
- Lifting a Label Law at Equal Total-Variation Distancetruth-dependency · Closed
- Sharp coupling budgets on a permutation cycletruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Actual Window Laws, Moments and Nonzero Countsstructural-affinity · Closed
- Common-Prior Posterior Agreementstructural-affinity · Closed
- Conditional Entropy under Completion Factorizationstructural-affinity · Closed
- Coordinate Sum-Product Updatestructural-affinity · Closed
- Failure of Uniform Raw-Correlation Confidencestructural-affinity · Closed
- Finite Convex Hulls for Declared Probability Constraintsstructural-affinity · Closed
- Finite Convex Hulls of Native Declared Probability Lawsstructural-affinity · Closed
- Future-Word Information Chainstructural-affinity · Closed
- Generating binary nondisturbing cycle probabilitiesstructural-affinity · Closed
- Green-Class Window Entropystructural-affinity · Closed
- LayeredFlowstructural-affinity · Closed
- Lifting a Label Law at Equal Total-Variation Distancestructural-affinity · Closed
- PositiveCircuitSupplierstructural-affinity · Closed
- Preparation error need not increase purification output errorstructural-affinity · Closed
- Sharp coupling budgets on a permutation cyclestructural-affinity · Closed
- SupplierGraphstructural-affinity · Closed
- The labelled circle action and balanced negative incidencestructural-affinity · Closed
- The nonlocality–contextuality trade-off on a binary cyclestructural-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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