Quantum / CONCEPT
Entangled inputs violate output maximal coherence tensorization
A qubit Pauli channel has output maximal coherence 3/4, while two copies on a Bell input give maximal coherence 225/272, contradicting Conjecture 1 of Lee, Baek, Park, Kim and Nha.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES5
PROOF DEPTH7
DOCUMENT LINKS0
Kraus actions preserve positivity
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Amending coherence-breaking iterates with one unitarytruth-dependency · Closed
- Coherent discrimination bias is not a channel metrictruth-dependency · Closed
- Metrotropy can exceed half the ergotropytruth-dependency · Closed
- Pairwise and joint entanglement detectiontruth-dependency · Closed
- Semi-nonnegative maps can exhibit information backflowtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A Tight CHSH Witnessstructural-affinity · Closed
- Amending coherence-breaking iterates with one unitarystructural-affinity · Closed
- Cartesian variancestructural-affinity · Closed
- Coherent discrimination bias is not a channel metricstructural-affinity · Closed
- Corrected finite fourth momentsstructural-affinity · Closed
- Insufficiency of the plus-count statisticstructural-affinity · Closed
- Metrotropy can exceed half the ergotropystructural-affinity · Closed
- Monomial Matrices Preserve Diagonalitystructural-affinity · Closed
- Pairwise and joint entanglement detectionstructural-affinity · Closed
- Semi-nonnegative maps can exhibit information backflowstructural-affinity · Closed
- The exact component count of a strange quantum graphstructural-affinity · Closed
- Three-weight Pauli channels have Bayesian inverses only at the maximally mixed statestructural-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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