QuantumChannels / CONCEPT
A non-extreme minimum-rank superchannel extension
A two-qubit quantum superchannel has reduced Choi rank four for every extension and a minimizing extension that is a midpoint of distinct extensions.
Closed
DIRECT PREREQUISITES6
DIRECT CONSEQUENCES0
PROOF DEPTH21
DOCUMENT LINKS0
A non-extreme minimizing extension
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A qutrit obstruction to positive/CP factorization of the channel transposetruth-dependency · Closed
- Finite Kraus Quantum Channelstruth-dependency · Closed
- Finite Kraus Representationstruth-dependency · Closed
- IsometricCompressiontruth-dependency · Closed
- Li–Jiang polar-pair optimality: an exact finite-noise refutationtruth-dependency · Closed
- Partial Trace and Quantum Mutual Informationtruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A qutrit obstruction to positive/CP factorization of the channel transposestructural-affinity · Closed
- Burri's Question 1structural-affinity · Closed
- Conditional min-entropy of noisy unitariesstructural-affinity · Closed
- Finite Kraus Quantum Channelsstructural-affinity · Closed
- Finite Kraus Representationsstructural-affinity · Closed
- IsometricCompressionstructural-affinity · Closed
- Li–Jiang polar-pair optimality: an exact finite-noise refutationstructural-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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