Quantum / CONCEPT
The kernel and trace criteria are not equivalent
The kernel criterion for optimality of entanglement witnesses does not imply the trace criterion.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH6
DOCUMENT LINKS0
The equivalence is false
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A lower bound on qutrit magic from coherencestructural-affinity · Closed
- All gate orderings of an open-boundary transfer-matrix circuitstructural-affinity · Closed
- Concatenation can increase the cHaar moment normstructural-affinity · Closed
- Correlated coherence need not be monogamous for pure three-qubit statesstructural-affinity · Closed
- Entropy Increase Under Basis Pinchingstructural-affinity · Closed
- FiniteEdgeProbeCorrespondencestructural-affinity · Closed
- Generalized concentratable entanglement is not monotone under enlarging the subsystemstructural-affinity · Closed
- Hardware Circuit Factorsstructural-affinity · Closed
- Input Information Balancestructural-affinity · Closed
- Local distinguishability at boundary projection statesstructural-affinity · Closed
- Oblique discord: mutual information can increasestructural-affinity · Closed
- Optimal witnesses with an optimal sumstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Rényi CMI local-channel monotonicitystructural-affinity · Closed
- The four-qubit Fredkin gate generates more than two ebits across AD:BCstructural-affinity · Closed
- The minimum of purity plus time-reversal overlapstructural-affinity · Closed
- The minimum of the long-time algebra OTOCstructural-affinity · Closed
- The original low-alpha SBW assertionstructural-affinity · Closed
- Two-qubit conditional domains need not be subalgebrasstructural-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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