Quantum / CONCEPT
Bound coherence in every dimension at least three
Every dimension at least three admits a coherent, nonmaximal density matrix whose positive modes cannot increase under an allowed interaction of two identical copies.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH18
DOCUMENT LINKS0
Existence in all dimensions at least three
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A replacement channel and the Schumacher-Westmoreland constructionstructural-affinity · Closed
- Actual Density Strong Subadditivitystructural-affinity · Closed
- Failure of partial-negativity subadditivitystructural-affinity · Closed
- Finite Density Purificationstructural-affinity · Closed
- Finite Trace Distancestructural-affinity · Closed
- Four MUBs refute the dimension-eight necessity boundstructural-affinity · Closed
- Orthogonal reduction for conditional hockey-stick ratiosstructural-affinity · Closed
- The qutrit overlap entropy bound is unattainablestructural-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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