Quantum / CONCEPT
Low-rank separable rays
The identity plus twice a normalized bipartite rank-one projector is a finite sum of positive semidefinite Kronecker products.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES7
PROOF DEPTH9
DOCUMENT LINKS0
A normalized rank-one ray
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Ahiable--Kothakonda--Winter Eq. (31) and absolute separabilitytruth-dependency · Closed
- Closest product vectors need not be q-symmetrictruth-dependency · Closed
- Exact quadbit–quadbit APPT maximum puritytruth-dependency · Closed
- Four-by-five APPT maximum puritytruth-dependency · Closed
- Maximal walk entanglement from the symmetric cointruth-dependency · Closed
- Multi-entropy positivity fails on three qutritstruth-dependency · Closed
- The Fuchs–Caves fidelity ROC question is refutedtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Ahiable--Kothakonda--Winter Eq. (31) and absolute separabilitystructural-affinity · Closed
- Biased post-processed improvements are not faithfulstructural-affinity · Closed
- Canonical Separable Cone Residualstructural-affinity · Closed
- Closest product vectors need not be q-symmetricstructural-affinity · Closed
- Cone Residual Dual Witnessstructural-affinity · Closed
- Contraction decompositions and separable scalar shiftsstructural-affinity · Closed
- Entanglement-assisted communication value and the output dimensionstructural-affinity · Closed
- Exact quadbit–quadbit APPT maximum puritystructural-affinity · Closed
- Finite product-vector averagesstructural-affinity · Closed
- Finite rank-one APPT maximumstructural-affinity · Closed
- Four-by-five APPT maximum puritystructural-affinity · Closed
- Maximal walk entanglement from the symmetric coinstructural-affinity · Closed
- Moreau Decompositionstructural-affinity · Closed
- Multi-entropy positivity fails on three qutritsstructural-affinity · Closed
- No single polynomial inequality characterizes bipartite separabilitystructural-affinity · Closed
- The Fuchs–Caves fidelity ROC question is refutedstructural-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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