Quantum / CONCEPT
Subsystem Lanczos positivity fails
The first squared subsystem Lanczos coefficient can be negative for an entangled two-qubit state.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH19
DOCUMENT LINKS1
Refutation by an entangled two-qubit state
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 qudit counterexample to genuine entropic tetrahedrastructural-affinity · Closed
- A stochastic qutrit channel that is not unitalstructural-affinity · Closed
- Entropy saturation forces a symmetric informationally complete measurementstructural-affinity · Closed
- Four MUBs refute the dimension-eight necessity boundstructural-affinity · Closed
- Orthogonal reduction for conditional hockey-stick ratiosstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Passive memory with a nonclassical Gram matrixstructural-affinity · Closed
- Projection Probability Flowstructural-affinity · Closed
- Robustness of ancilla-free testersstructural-affinity · Closed
- The fully entangled fraction and the steering-ellipsoid centrestructural-affinity · Closed
- The Pure-State Handshakestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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