Quantum / CONCEPT
No Definite Dark Direction for General Instruments
A general no-click instrument has no definite dark direction exactly when its limit effect vanishes, exactly when the survival defect after d steps is positive definite, and exactly when Tr(rho F) = 0 for every density matrix rho.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
Four equivalent forms of the absence of dark directions
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 Permanent Dark Effect Need Not Be a Projectionstructural-affinity · Closed
- Finite Closure of Dark Directions for General Instrumentsstructural-affinity · Closed
- Positive Branch Reachability and Responsestructural-affinity · Closed
- Residual Tail Contraction for General Instrumentsstructural-affinity · Closed
- Survival Effects of a General Instrument Converge to the Largest Fixed Effectstructural-affinity · Closed
- The Eventual-Click Doob Instrumentstructural-affinity · Closed
- Uniform Detection Certificate for General Instrumentsstructural-affinity · Closed
- Weil: Rank Tracestructural-affinity · Closed
Documents & exposition
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