Quantum / CONCEPT
Trace-norm CMI contraction conjecture
A flagged measurement in two qubit bases strictly contracts local trace distance while preserving the trace-norm conditional mutual information of a tripartite state.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES3
PROOF DEPTH6
DOCUMENT LINKS0
Trace norm of a real diagonal matrix
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A product-state bound excludes parallel exponent onestructural-affinity · Closed
- Amplitude-damping channels resist perfect measure-and-prepare cloningstructural-affinity · Closed
- An explicit source amplitudestructural-affinity · Closed
- Finite Kraus Quantum Channelsstructural-affinity · Closed
- Finite Trace Distancestructural-affinity · Closed
- Flat Sector Rank Feasibilitystructural-affinity · Closed
- Lidar Restricted Anticoncentration Refutationstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- QTD squared can exceed QJS2structural-affinity · Closed
- Refutation of completely contractive CMI data processingstructural-affinity · Closed
- Semi-nonnegative maps can exhibit information backflowstructural-affinity · Closed
- The exact three-coherence Ramsey thresholdstructural-affinity · Closed
- Trace-distance anticoherence need not increase under covariant noisestructural-affinity · Closed
- Two-qubit conditional domains need not be subalgebrasstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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