Quantum / CONCEPT
A counterexample to Fan–Wu–Fei channel coherence domination
A qubit measure-and-prepare channel has Choi coherence below its commutator coherence at alpha = 2.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
Two prepared outputs refute the universal comparison
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
- Achievable (k-fidelity, process fidelity) regions and single-fidelity non-identifiabilitystructural-affinity · Closed
- Finite Kraus Representationsstructural-affinity · Closed
- Flat-pair endpoint homomorphismsstructural-affinity · Closed
- Pauli-weight expansion and alternating truncation bounds for qubit SIC k-fidelitiesstructural-affinity · Closed
- Positive Pauli Clock Orderstructural-affinity · Closed
- Projected Unitary Dynamicsstructural-affinity · Closed
- Projection Probability Flowstructural-affinity · Closed
- Rare-Branch Conditional Error Sharpnessstructural-affinity · Closed
- Spectral powers and matrix positivitystructural-affinity · Closed
- Tensor averages and asymptotic overlapsstructural-affinity · Closed
- Three-weight Pauli channels have Bayesian inverses only at the maximally mixed statestructural-affinity · Closed
- Trace-preserving linear reconstruction and CPTP joint k-fidelity simplex geometrystructural-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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