Quantum / CONCEPT
Strict global advantage over parallel dynamic cooling
For every initial excited population strictly between zero and one half, global unitary cooling gives a strictly smaller common target population than equal parallel single-target groups whenever M is at least two and N is at least M plus two, except for the pair (6, 2).
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
Global cooling strictly improves the parallel benchmark
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A Permanent Dark Effect Need Not Be a Projectionstructural-affinity · Closed
- Circulant bracelet sufficiency fails at order twelvestructural-affinity · Closed
- Computational-Basis Kernel Preservationstructural-affinity · Closed
- Coordinate Sum-Product Updatestructural-affinity · Closed
- Pairwise signs do not give an orthogonal lift at order fivestructural-affinity · Closed
- Projected Unitary Dynamicsstructural-affinity · Closed
- Projection Probability Flowstructural-affinity · Closed
- Rare-Branch Conditional Error Sharpnessstructural-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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