Quantum / CONCEPT
The k-positive region of the diagonal-perturbed Tomiyama maps
For every 2 ≤ k ≤ d, the k-positive maps of the diagonal-perturbed Tomiyama family on d × d matrices are exactly those whose parameters lie in the quadrilateral spanned by the identity, the two extremal completely positive maps and the k-positive Tomiyama map.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES9
PROOF DEPTH2
DOCUMENT LINKS1
Orthogonality of Fourier rows
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Clifford Path Realizationstruth-dependency · Closed
- Clifford transformations can change the autocorrelation operator normtruth-dependency · Closed
- Complex sparse-probe coercivitytruth-dependency · Closed
- Optimal visibility for calibrated joint measurementstruth-dependency · Closed
- OrbitIndexedSumstruth-dependency · Closed
- Polygonal couplings and the discrete Fourier transformtruth-dependency · Closed
- The ten-setting GHZ witness in odd dimensionstruth-dependency · Closed
- TwoPositiveTransitionTracetruth-dependency · Closed
- Weak products do not preserve edge-complexity equalitytruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Clifford Path Realizationsstructural-affinity · Closed
- Clifford transformations can change the autocorrelation operator normstructural-affinity · Closed
- Complex sparse-probe coercivitystructural-affinity · Closed
- CycleTwentyOneNoUniformMixingstructural-affinity · Closed
- Cyclic Refractory Quantum Generatorstructural-affinity · Closed
- Finite Kraus Quantum Channelsstructural-affinity · Closed
- Modelstructural-affinity · Closed
- Optimal visibility for calibrated joint measurementsstructural-affinity · Closed
- OrbitIncidenceCheckerstructural-affinity · Closed
- OrbitIndexedSumsstructural-affinity · Closed
- Polygonal couplings and the discrete Fourier transformstructural-affinity · Closed
- Positive refinement of a coarse qubit mapstructural-affinity · Closed
- RetainedLocalProtocolstructural-affinity · Closed
- SupportMaskCheckerstructural-affinity · Closed
- The 2-neighbour bootstrap percolation number of C_n x P_m is nstructural-affinity · Closed
- The Fourier LDOI LOCC lower bound is not tightstructural-affinity · Closed
- The gcd-three equator formula fails at dimension sixstructural-affinity · Closed
- The ten-setting GHZ witness in odd dimensionsstructural-affinity · Closed
- TwoPositiveTransitionTracestructural-affinity · Closed
- Weak products do not preserve edge-complexity equalitystructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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