Quantum / CONCEPT
Rényi CMI local-channel monotonicity
Complete dephasing of A increases the Rényi conditional quantum mutual information of equation (3.18) for a faithful three-qubit state at alpha = 2.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS0
A faithful state refutes local monotonicity
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 lower bound on qutrit magic from coherencestructural-affinity · Closed
- All gate orderings of an open-boundary transfer-matrix circuitstructural-affinity · Closed
- Entropy Increase Under Basis Pinchingstructural-affinity · Closed
- Generalized concentratable entanglement is not monotone under enlarging the subsystemstructural-affinity · Closed
- Input Information Balancestructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- The kernel and trace criteria are not equivalentstructural-affinity · Closed
- The minimum of purity plus time-reversal overlapstructural-affinity · Closed
- The minimum of the long-time algebra OTOCstructural-affinity · Closed
- The original low-alpha SBW assertionstructural-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
Loading release versions...
Browse the archiveCertified provenance