Quantum / CONCEPT
Optical-loss purity need not be log-convex
The purity of a three-level mixed Fock state under vacuum-environment optical loss fails the midpoint inequality for log-convexity.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH9
DOCUMENT LINKS0
A three-level counterexample
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
- An extreme POVM with rank vector (3,3,2,2,2,2,2,2)structural-affinity · Closed
- Binary measurement incompatibility under pure lossstructural-affinity · Closed
- Concealment does not determine the adjoint kernelstructural-affinity · Closed
- Entropystructural-affinity · Closed
- FourQubitParentConstructionstructural-affinity · Closed
- Mitra's white-noise conjecture for qubit observablesstructural-affinity · Closed
- Optimality of the coefficient in the entanglement-breaking norm inequalitystructural-affinity · Closed
- Stationarity of quadratic POVM variationsstructural-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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