Quantum / CONCEPT
The five-cycle graph state is strongly 1-resistant
The five-cycle graph state is genuinely multipartite entangled, remains genuinely multipartite entangled after any one-qubit loss, and becomes fully separable after any two-qubit loss.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS1
Strong 1-resistance of the five-cycle state
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
- Counting even labels in a CNOT sequencestructural-affinity · Closed
- Full separability and exchanged diagonalsstructural-affinity · Closed
- Lidar Restricted Anticoncentration Refutationstructural-affinity · Closed
- Local Observation Partial-Trace Equivalencestructural-affinity · Closed
- Qutrit Threshold Sharingstructural-affinity · Closed
- The complementary W-state effect is not fully separablestructural-affinity · Closed
- The negativity of randomized graph states is not monotonestructural-affinity · Closed
- The six-cycle graph state is not strongly 2-resistantstructural-affinity · Closed
- The worst-case CNOT lower bound for reflection symmetrystructural-affinity · Closed
- Universal Replacement Capacity Growthstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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