Combinatorics / CONCEPT
The smallest set of uniqueness for the Ising cone
On the cube of sign vectors, the Walsh functions of degree at most two span the Ising space. A set of points is a set of uniqueness for the nonnegative cone of this space when the only nonnegative function of the space vanishing there is zero; the smallest such set has k + 1 points for every k at least three.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES7
PROOF DEPTH0
DOCUMENT LINKS0
Negation reverses the coordinate sign
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
- A genuine four-state superposition from level-one QAOAtruth-dependency · Closed
- FourVectorSignSumBoundtruth-dependency · Closed
- Polygon and three-time inequalities are insufficienttruth-dependency · Closed
- The exact five-dimensional bad science optimumtruth-dependency · Closed
- The mixed-memory hierarchy is not completetruth-dependency · Closed
- The realizability conjecture for chained monogamy relationstruth-dependency · Closed
- The repetition variance of the noisy voter modeltruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A genuine four-state superposition from level-one QAOAstructural-affinity · Closed
- FourQubitParentConstructionstructural-affinity · Closed
- FourVectorSignSumBoundstructural-affinity · Closed
- Polygon and three-time inequalities are insufficientstructural-affinity · Closed
- The exact five-dimensional bad science optimumstructural-affinity · Closed
- The mixed-memory hierarchy is not completestructural-affinity · Closed
- The realizability conjecture for chained monogamy relationsstructural-affinity · Closed
- The repetition variance of the noisy voter modelstructural-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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