Quantum / CONCEPT
The minimum overlap of orthogonal channel inputs
Orthogonal pure inputs to a classical–quantum channel have average output overlap at least the minimum over distinct basis inputs.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
The orthogonal lower bound
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 negative damped spin distribution satisfying the Husimi coefficient boundstructural-affinity · Closed
- A qutrit obstruction to CP-filter equivalence with the channel transposestructural-affinity · Closed
- CompoundMatricesstructural-affinity · Closed
- Flat-spectrum probe probabilitiesstructural-affinity · Closed
- Higher exterior traces of the perimeter matrixstructural-affinity · Closed
- Malkoun's two-matrix elementary symmetric inequalitystructural-affinity · Closed
- ProductLogMajorizationstructural-affinity · Closed
- Relative quantumness can increase under a commutativity-preserving channelstructural-affinity · Closed
- Unitarily invariant norms and symmetric diagonal gaugesstructural-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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