Quantum / CONCEPT
Universal Replacement Capacity Growth
Universal replacement extracts an orthonormal purification family and forces inner capacity growth.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES4
PROOF DEPTH3
DOCUMENT LINKS0
Trace of a rank-one matrix
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Cartesian variancestructural-affinity · Closed
- Density-state covariance and its sparse sumstructural-affinity · Closed
- Exact ranks and entropy for direct concatenationstructural-affinity · Closed
- Finite Density States and Quantum Channelsstructural-affinity · Closed
- Full separability and exchanged diagonalsstructural-affinity · Closed
- Local Observation Partial-Trace Equivalencestructural-affinity · Closed
- Numerical ranges and compressionstructural-affinity · Closed
- Quantitative edges of a positive and negative block spikestructural-affinity · Closed
- Qutrit Threshold Sharingstructural-affinity · Closed
- Residual-Driven Projective Energystructural-affinity · Closed
- The complementary W-state effect is not fully separablestructural-affinity · Closed
- The five-cycle graph state is strongly 1-resistantstructural-affinity · Closed
- The six-cycle graph state is not strongly 2-resistantstructural-affinity · Closed
- The three-state root-fidelity Holevo boundstructural-affinity · Closed
- Total spectral rows and direct concatenationstructural-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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