Quantum / CONCEPT
A stabilizer measurement beyond every maximally entangled one
A pure three-qubit ancilla separates the information dimensions of two stabilizer measurements: two Bell pairs and local Z measurements give at least 32, whereas every maximally entangled stabilizer measurement gives at most 31. This refutes Conjecture 1 of Lo Monaco et al., arXiv:2510.00157v2.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES16
PROOF DEPTH6
DOCUMENT LINKS0
The Pauli multiplication table
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A correlation-minor bound fails without filter normal formtruth-dependency · Closed
- A negative defect at every odd order at least five.truth-dependency · Closed
- A stabilizer code without universal logical Z supporttruth-dependency · Closed
- ChannelTimeReversalNoGotruth-dependency · Closed
- Coherence damping fails for complex hoppingtruth-dependency · Closed
- Commuting encodings and local reflectionstruth-dependency · Closed
- Equal degree differences do not determine stored worktruth-dependency · Closed
- Four-qubit correlation monogamytruth-dependency · Closed
- Mayer zero fidelity and process fidelitytruth-dependency · Closed
- Odd negative-line parity in linear doiliestruth-dependency · Closed
- Pauli rotations with a hypersurface of critical valuestruth-dependency · Closed
- QubitWassersteinCouplingstruth-dependency · Closed
- Steering does not force atemporalitytruth-dependency · Closed
- The steering-ellipsoid CHSH boundtruth-dependency · Closed
- Three-qubit stabilizer polar elementstruth-dependency · Closed
- Weighted multicopy designs need not be optimaltruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A correlation-minor bound fails without filter normal formstructural-affinity · Closed
- A negative defect at every odd order at least five.structural-affinity · Closed
- A SIC-compound from eight Hoggar SICsstructural-affinity · Closed
- A stabilizer code without universal logical Z supportstructural-affinity · Closed
- Coherence damping fails for complex hoppingstructural-affinity · Closed
- Commuting encodings and local reflectionsstructural-affinity · Closed
- Equal degree differences do not determine stored workstructural-affinity · Closed
- Four-qubit correlation monogamystructural-affinity · Closed
- IsometricCompressionstructural-affinity · Closed
- Mayer zero fidelity and process fidelitystructural-affinity · Closed
- Odd negative-line parity in linear doiliesstructural-affinity · Closed
- Pauli rotations with a hypersurface of critical valuesstructural-affinity · Closed
- QubitWassersteinCouplingsstructural-affinity · Closed
- Steering does not force atemporalitystructural-affinity · Closed
- The Pure-State Handshakestructural-affinity · Closed
- The sharp Hoggar-SIC sum negativitystructural-affinity · Closed
- The signed Pauli sum bound fails for three qubitsstructural-affinity · Closed
- The single-pass butterfly fails the relative exterior-square two-design boundstructural-affinity · Closed
- Three-qubit stabilizer polar elementsstructural-affinity · Closed
- Weighted multicopy designs need not be optimalstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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