Quantum / CONCEPT
The exact critical concurrence for universal quantum teleportation
For every pure two-qubit input sqrt(a)|00> + sqrt(1 - a)|11> with 1/2 < a < 1, a qubit channel acting on Bob can make the shared state useful for universal quantum teleportation exactly when its initial concurrence exceeds sqrt(5 - 2 sqrt(3))/3. Necessity holds for every finite Kraus family, and a non-unital amplitude-damping channel attains sufficiency.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH22
DOCUMENT LINKS0
Necessity and non-unital attainment
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 generic-state counterexample in the kicked Ising chainstructural-affinity · Closed
- A negative defect at every odd order at least five.structural-affinity · Closed
- A symmetric injective matrix-product family with four physical levelsstructural-affinity · Closed
- Completely useless channels and concatenationstructural-affinity · Closed
- Geometric discord and maximal mutual correlationstructural-affinity · Closed
- QubitWassersteinCouplingsstructural-affinity · Closed
- The sharp centre threshold for three-setting steeringstructural-affinity · Closed
- The steering-ellipsoid CHSH boundstructural-affinity · Closed
- Trace-norm discord and maximal mutual correlationstructural-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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