Quantum / CONCEPT
Exact quadbit–quadbit APPT maximum purity
The literal 4-by-4 APPT purity maximum is 2/27 and is attained by the explicit diagonal spectrum (1/6,1/18,...,1/18).
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES4
PROOF DEPTH13
DOCUMENT LINKS0
Unit dot product gives real squared norm one
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Divisibility does not force entanglement breaking for qutritstruth-dependency · Closed
- Four-by-five APPT maximum puritytruth-dependency · Closed
- Log-negativity capacity depends on the input resourcetruth-dependency · Closed
- No single polynomial inequality characterizes bipartite separabilitytruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Ahiable--Kothakonda--Winter Eq. (31) and absolute separabilitystructural-affinity · Closed
- Closest product vectors need not be q-symmetricstructural-affinity · Closed
- Contraction decompositions and separable scalar shiftsstructural-affinity · Closed
- Dimension-sixteen spectral purity by interpolationstructural-affinity · Closed
- Divisibility does not force entanglement breaking for qutritsstructural-affinity · Closed
- Finite product-vector averagesstructural-affinity · Closed
- Finite rank-one APPT maximumstructural-affinity · Closed
- Four-by-five APPT maximum puritystructural-affinity · Closed
- Four-by-four APPT spectral reductionstructural-affinity · Closed
- Log-negativity capacity depends on the input resourcestructural-affinity · Closed
- Low-rank separable raysstructural-affinity · Closed
- Maximal walk entanglement from the symmetric coinstructural-affinity · Closed
- No single polynomial inequality characterizes bipartite separabilitystructural-affinity · Closed
- Qutrit APPT attaining statesstructural-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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