Quantum / CONCEPT
A stabilizer code without universal logical Z support
A five-qubit stabilizer code has a Z-free word in every nontrivial logical coset.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS0
Every nontrivial logical coset has a Z-free translate
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A correlation-minor bound fails without filter normal formstructural-affinity · Closed
- A SIC-compound from eight Hoggar SICsstructural-affinity · Closed
- A stabilizer measurement beyond every maximally entangled onestructural-affinity · Closed
- Equal degree differences do not determine stored workstructural-affinity · Closed
- Four-qubit correlation monogamystructural-affinity · Closed
- Odd negative-line parity in linear doiliesstructural-affinity · Closed
- Pauli rotations with a hypersurface of critical valuesstructural-affinity · Closed
- Steering does not force atemporalitystructural-affinity · Closed
- The signed Pauli sum bound fails for three qubitsstructural-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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