Quantum / CONCEPT
Amplitude-damping channels resist perfect measure-and-prepare cloning
No finite measure-and-prepare ensemble perfectly clones every amplitude-damping channel into a positive number of outputs.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS0
Polynomial probabilities contradict exact cloning
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 counterexample to the Young-subgroup cross-sum inequalitystructural-affinity · Closed
- A product-state bound excludes parallel exponent onestructural-affinity · Closed
- Determinant-integral subentropystructural-affinity · Closed
- Fibonacci carry output algebrastructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- PurifiedLocalPathstructural-affinity · Closed
- Refutation of completely contractive CMI data processingstructural-affinity · Closed
- The minimum of purity plus time-reversal overlapstructural-affinity · Closed
- Trace-norm CMI contraction conjecturestructural-affinity · Closed
- Two-qubit conditional domains need not be subalgebrasstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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