QuantumChannels / CONCEPT
Positive Kraus operators with an entanglement advantage
Two qubit depolarizing channels have strictly positive-definite tetrahedral Kraus operators, yet a Bell-assisted discrimination strategy succeeds with probability 33/56 while every unassisted strategy succeeds with probability at most 47/84.
Closed
DIRECT PREREQUISITES10
DIRECT CONSEQUENCES0
PROOF DEPTH9
DOCUMENT LINKS0
Refutation by positive tetrahedral Kraus operators
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A Pure Bell State with a Mixed Marginaltruth-dependency · Closed
- A Tight CHSH Witnesstruth-dependency · Closed
- Broadcasting channels need have neither extremumtruth-dependency · Closed
- Environment Records and Selected Fixed Entriestruth-dependency · Closed
- Finite Kraus Quantum Channelstruth-dependency · Closed
- Finite-Dimensional Quantum Skeletonstruth-dependency · Closed
- Hermitian SLD energytruth-dependency · Closed
- Qubit Witness Skeletonstruth-dependency · Closed
- The sharp A|BC constant of the GHZ measuretruth-dependency · Closed
- Weil: Rank Tracetruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A Pure Bell State with a Mixed Marginalstructural-affinity · Closed
- A Tight CHSH Witnessstructural-affinity · Closed
- Broadcasting channels need have neither extremumstructural-affinity · Closed
- Environment Records and Selected Fixed Entriesstructural-affinity · Closed
- Finite Kraus Quantum Channelsstructural-affinity · Closed
- Hermitian SLD energystructural-affinity · Closed
- Partial trace can increase Fisher discordstructural-affinity · Closed
- The sharp A|BC constant of the GHZ measurestructural-affinity · Closed
- Weil: Rank Tracestructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance