Quantum / CONCEPT
Unitarily invariant norms and symmetric diagonal gauges
Unitarily invariant norms and symmetric diagonal gauges.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES7
PROOF DEPTH2
DOCUMENT LINKS0
Symmetric gauge representation
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A positive map reflecting positive contractionstruth-dependency · Closed
- Continuity and balanced scalar optimizationtruth-dependency · Closed
- Opposite matching minimizes expanding diagonal productstruth-dependency · Closed
- Rank-one Hadamard products and nonnegative diagonal weightstruth-dependency · Closed
- The three-state root-fidelity Holevo boundtruth-dependency · Closed
- The trace norm and its two-dimensional formulatruth-dependency · Closed
- Zhang–Li Problem 3 for matrices of rank at most onetruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A positive map reflecting positive contractionsstructural-affinity · Closed
- CompoundMatricesstructural-affinity · Closed
- Continuity and balanced scalar optimizationstructural-affinity · Closed
- Finite Trace Distancestructural-affinity · Closed
- Higher exterior traces of the perimeter matrixstructural-affinity · Closed
- MajorizationTransferstructural-affinity · Closed
- Malkoun's two-matrix elementary symmetric inequalitystructural-affinity · Closed
- Norm products from an expanding-factor lower boundstructural-affinity · Closed
- Opposite matching minimizes expanding diagonal productsstructural-affinity · Closed
- Rank-one Hadamard products and nonnegative diagonal weightsstructural-affinity · Closed
- The minimum overlap of orthogonal channel inputsstructural-affinity · Closed
- The trace norm and its two-dimensional formulastructural-affinity · Closed
- Zhang–Li Problem 3 for matrices of rank at most onestructural-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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