Quantum / CONCEPT
Schmidt-number bounds for incomplete equiangular measurements
Equiangular measurements obey the Schmidt-number correlation trace-norm bound of Tavakoli and Morelli's Conjecture 2.
Closed
DIRECT PREREQUISITES10
DIRECT CONSEQUENCES4
PROOF DEPTH18
DOCUMENT LINKS0
The Hilbert–Schmidt product bound
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Cartesian variancetruth-dependency · Closed
- Comparability of conical-design concurrence boundstruth-dependency · Closed
- Finite Density Purificationtruth-dependency · Closed
- Gerzon equality without dimension congruence restrictionstruth-dependency · Closed
- Matrix GNS Identitytruth-dependency · Closed
- Purity Pythagoras Decompositiontruth-dependency · Closed
- Rank-One Born Reductiontruth-dependency · Closed
- Spin-1 tensor spin-K/2 precession separable boundtruth-dependency · Closed
- The Pure-State Handshaketruth-dependency · Closed
- The two-sided trace-norm ideal estimatetruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
- Hilbert-Schmidt square-root error controls trace errortruth-dependency · Closed
- Schmidt-number bounds for incomplete mutually unbiased basestruth-dependency · Closed
- Separable states outside every local-unitary stabilizer frametruth-dependency · Closed
- The optimal negativity of a non-selective two-qubit measurementtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A quantitative fixed Petz recovery estimatestructural-affinity · Closed
- Actual Petz core trace stabilitystructural-affinity · Closed
- Comparability of conical-design concurrence boundsstructural-affinity · Closed
- Finite Density Purificationstructural-affinity · Closed
- Four-path aggregate stability budgetsstructural-affinity · Closed
- Four-path nearest-ray comparisonstructural-affinity · Closed
- Four-path weighted equality remainderstructural-affinity · Closed
- Gerzon equality without dimension congruence restrictionsstructural-affinity · Closed
- Hilbert-Schmidt square-root error controls trace errorstructural-affinity · Closed
- Matrix GNS Identitystructural-affinity · Closed
- Orthogonal Projections onto Complementary Subspacesstructural-affinity · Closed
- Physical Petz error has weighted modular coordinatesstructural-affinity · Closed
- Positive analytic trace in every basisstructural-affinity · Closed
- Purity Pythagoras Decompositionstructural-affinity · Closed
- Rank-One Born Reductionstructural-affinity · Closed
- Schmidt-number bounds for incomplete mutually unbiased basesstructural-affinity · Closed
- Separable states outside every local-unitary stabilizer framestructural-affinity · Closed
- SIC–MUB correlation trace-norm equalitystructural-affinity · Closed
- Spin-1 tensor spin-K/2 precession separable boundstructural-affinity · Closed
- The optimal negativity of a non-selective two-qubit measurementstructural-affinity · Closed
- The Pure-State Handshakestructural-affinity · Closed
- The two-sided trace-norm ideal estimatestructural-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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