Quantum / CONCEPT
Quadratic amplitudes and the graph form of stabilizer states
Binary quadratic phases describe graph states. A Pauli stabilizer line can be put in this form by single-qubit unitaries.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES6
PROOF DEPTH3
DOCUMENT LINKS0
A graph amplitude for every stabilizer line
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Equal degree differences do not determine stored worktruth-dependency · Closed
- Local forms of commuting qubit factorstruth-dependency · Closed
- Odd negative-line parity in linear doiliestruth-dependency · Closed
- Spin covariance and Dicke coordinatestruth-dependency · Closed
- The ternary replica collapse for four-party stabilizer statestruth-dependency · Closed
- Three-qubit stabilizer polar elementstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A local measure-and-reset refutes the LOCC monotonicity of I2structural-affinity · Closed
- A state stabilized by binary operators that is not locally a stabilizer statestructural-affinity · Closed
- Bilinear coordinates for a ternary translation formstructural-affinity · Closed
- Binary Gauss Sums and the Determinant Modulo Eightstructural-affinity · Closed
- Binary Lagrangian subspaces in graph formstructural-affinity · Closed
- Coarse three-block partition refinements, triangular inversion, and bipartite masked ranksstructural-affinity · Closed
- Equal degree differences do not determine stored workstructural-affinity · Closed
- Local forms of commuting qubit factorsstructural-affinity · Closed
- Odd negative-line parity in linear doiliesstructural-affinity · Closed
- Reduction, vanishing criterion, and coarse determination of replica-three stabilizer multi-entropystructural-affinity · Closed
- Replica-three stabilizer multi-entropy via graph forms and coarse party partitionsstructural-affinity · Closed
- Spin covariance and Dicke coordinatesstructural-affinity · Closed
- Ternary mode orbits and partition countingstructural-affinity · Closed
- Ternary partition transport and four-party countingstructural-affinity · Closed
- The Reflection-Twisted Lattice Ground Representationstructural-affinity · Closed
- The ternary replica collapse for four-party stabilizer statesstructural-affinity · Closed
- Three-qubit stabilizer polar elementsstructural-affinity · Closed
- UniformPerturbedParametersstructural-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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