Quantum / CONCEPT
The purification lower bound fails for a qutrit
A positive definite qutrit state has greater time-dependent purification spread complexity than operator Krylov complexity.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH21
DOCUMENT LINKS0
A positive definite qutrit counterexample
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 negative defect at every odd order at least five.structural-affinity · Closed
- Geometric discord and maximal mutual correlationstructural-affinity · Closed
- QubitWassersteinCouplingsstructural-affinity · Closed
- Refutation of unrestricted Hermitian Taylor majorization.structural-affinity · Closed
- Symmetric SATWAP attainment in every dimensionstructural-affinity · Closed
- The balanced-cut gradient bound fails for eight qubitsstructural-affinity · Closed
- The fully entangled fraction and the steering-ellipsoid centrestructural-affinity · Closed
- The steering-ellipsoid CHSH boundstructural-affinity · Closed
- Trace-norm discord and maximal mutual correlationstructural-affinity · Closed
- WassersteinComplexityNonconvexstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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