Quantum / CONCEPT
Conditional min-entropy of noisy unitaries
White-noise mixtures of arbitrary bipartite unitaries with qubit conditioning attain the Choi-state upper bound on conditional min-entropy.
Closed
DIRECT PREREQUISITES10
DIRECT CONSEQUENCES0
PROOF DEPTH21
DOCUMENT LINKS0
White noise preserves equality with the Choi-state bound
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Classical-quantum Gram realizationtruth-dependency · Closed
- Empirical and Reflexive Completeness Separatetruth-dependency · Closed
- Equal Gram Unitary Extensiontruth-dependency · Closed
- Finite Density States and Quantum Channelstruth-dependency · Closed
- Finite Kraus Quantum Channelstruth-dependency · Closed
- Finite Kraus Representationstruth-dependency · Closed
- Finite sign twirls and entropy gapstruth-dependency · Closed
- Li–Jiang polar-pair optimality: an exact finite-noise refutationtruth-dependency · Closed
- Orthogonal reduction for conditional hockey-stick ratiostruth-dependency · Closed
- Partial Trace and Quantum Mutual Informationtruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A non-extreme minimum-rank superchannel extensionstructural-affinity · Closed
- Burri's Question 1structural-affinity · Closed
- Classical-quantum Gram realizationstructural-affinity · Closed
- Empirical and Reflexive Completeness Separatestructural-affinity · Closed
- Equal Gram Unitary Extensionstructural-affinity · Closed
- Finite Kraus Quantum Channelsstructural-affinity · Closed
- Finite Kraus Representationsstructural-affinity · Closed
- Finite sign twirls and entropy gapsstructural-affinity · Closed
- Li–Jiang polar-pair optimality: an exact finite-noise refutationstructural-affinity · Closed
- Orthogonal reduction for conditional hockey-stick ratiosstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Pure product inputs detect signalling through PDM negativitystructural-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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