Quantum / CONCEPT
Quantitative edges of a positive and negative block spike
A rank-one diagonal spike in a Hermitian block matrix admits two-sided spectral-edge estimates. For a unit v, Hermitian S with Sv = 0, L >= 1 and L >= ‖K X S‖, every t >= 96L has an error at most 891L^4/t^3 at each edge, and 1782L^4/t^3 in their sum.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS1
Two-sided positive-edge enclosure
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Proof dependencyStructural affinityDocument link
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RELATED KNOWLEDGE
Structural connections
- Bourin–Lee Conjecture 3.3structural-affinity · Closed
- Cartesian variancestructural-affinity · Closed
- Finite-Dimensional Physical Fiberstructural-affinity · Closed
- Local Observation Partial-Trace Equivalencestructural-affinity · Closed
- Numerical ranges and compressionstructural-affinity · Closed
- Residual-Driven Projective Energystructural-affinity · Closed
- The spectral degree exponent fails submodularitystructural-affinity · Closed
- Universal Replacement Capacity Growthstructural-affinity · Closed
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