Quantum / CONCEPT
Maximum marginal entropy can increase under a local measurement
A local measurement on a four-party pure state increases the average maximum single-party entropy.
Closed
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES0
PROOF DEPTH26
DOCUMENT LINKS0
A four-party counterexample
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Entropy under entrywise modulus in dimension threetruth-dependency · Closed
- Partial Trace and Quantum Mutual Informationtruth-dependency · Closed
- Quantitative Multi-Orbit Weil Negative Certificatetruth-dependency · Closed
- Refutation of completely contractive CMI data processingtruth-dependency · Closed
- Subsystem size does not order coherent informationtruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Entropy under entrywise modulus in dimension threestructural-affinity · Closed
- Finite Even Weil Odd Interpolationstructural-affinity · Closed
- Finite Mixed Weil Majorantstructural-affinity · Closed
- One ancillary qubit cannot give constant-round universal channel simulationstructural-affinity · Closed
- Partial tightness of the multipartite entangled-measurement boundstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Quantitative Multi-Orbit Weil Negative Certificatestructural-affinity · Closed
- Refutation of completely contractive CMI data processingstructural-affinity · Closed
- Simultaneous entanglement for all fixed tensor partitionsstructural-affinity · Closed
- Subsystem size does not order coherent informationstructural-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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