Quantum / CONCEPT
Input Information Balance
The information shared by a reference with two complementary outputs sums to twice the reference entropy when the joint state is pure.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES9
PROOF DEPTH6
DOCUMENT LINKS0
Complementary marginals have equal entropy
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A strong-subadditivity counterexample for subentropytruth-dependency · Closed
- Exact ranks and entropy for direct concatenationtruth-dependency · Closed
- HS4Assemblytruth-dependency · Closed
- Oblique discord: mutual information can increasetruth-dependency · Closed
- Pure-state ECQC fails in dimension fivetruth-dependency · Closed
- QubitNormalFormStatetruth-dependency · Closed
- Schur-channel mixed-unitary distance equalitytruth-dependency · Closed
- Selective LOCC can increase the Moreau-Yosida entanglement of formationtruth-dependency · Closed
- The four-qubit Fredkin gate generates more than two ebits across AD:BCtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A counterexample to the negative-q commutator boundstructural-affinity · Closed
- A lower bound on qutrit magic from coherencestructural-affinity · Closed
- A strong-subadditivity counterexample for subentropystructural-affinity · Closed
- A traceless counterexample to the q-deformed commutator boundstructural-affinity · Closed
- All gate orderings of an open-boundary transfer-matrix circuitstructural-affinity · Closed
- Entropy Increase Under Basis Pinchingstructural-affinity · Closed
- Exact ranks and entropy for direct concatenationstructural-affinity · Closed
- Generalized concentratable entanglement is not monotone under enlarging the subsystemstructural-affinity · Closed
- HiguchiSudberyEntropyMaximumstructural-affinity · Closed
- HS4Assemblystructural-affinity · Closed
- Oblique discord: mutual information can increasestructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- ProductMarginQubitOrderstructural-affinity · Closed
- Pure-state ECQC fails in dimension fivestructural-affinity · Closed
- QubitEntropyContractionstructural-affinity · Closed
- QubitNormalFormStatestructural-affinity · Closed
- ReflectionEvaluationstructural-affinity · Closed
- Rényi CMI local-channel monotonicitystructural-affinity · Closed
- Schur-channel mixed-unitary distance equalitystructural-affinity · Closed
- Selective LOCC can increase the Moreau-Yosida entanglement of formationstructural-affinity · Closed
- The four-qubit Fredkin gate generates more than two ebits across AD:BCstructural-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
- The simple-spectrum subentropy formulastructural-affinity · Closed
- Two uniform subentropy valuesstructural-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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