Quantum / CONCEPT
Four MUBs refute the dimension-eight necessity bound
Four mutually unbiased bases in dimension eight give a negative expectation on a positive-partial-transpose density matrix for the witness of Bae, Bera, Chruściński, Hiesmayr and McNulty.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH19
DOCUMENT LINKS0
Refutation in dimension eight
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
- A counterexample to the Shannon branch-and-bound lower boundstructural-affinity · Closed
- A qudit counterexample to genuine entropic tetrahedrastructural-affinity · Closed
- A stochastic qutrit channel that is not unitalstructural-affinity · Closed
- Bound coherence in every dimension at least threestructural-affinity · Closed
- Negativity and structured negativity differ for a pure two-qutrit statestructural-affinity · Closed
- Orthogonal reduction for conditional hockey-stick ratiosstructural-affinity · Closed
- Passive memory with a nonclassical Gram matrixstructural-affinity · Closed
- Robustness of ancilla-free testersstructural-affinity · Closed
- Subsystem Lanczos positivity failsstructural-affinity · Closed
- The exact compatibility threshold for biased trine qubit measurementsstructural-affinity · Closed
- The fully entangled fraction and the steering-ellipsoid centrestructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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