Quantum / CONCEPT
Local-unitary inequivalence of two weight-isometric pairs of stabilizer codes
Neither the two [[5,2]] codespaces of S_A and S_B nor the two [[6,3]] codespaces of S+ and S- of Theorem 5.3 of arXiv:2607.26214 are related by a product unitary composed with a qubit permutation, which answers the first part of Question 5.4 of A. A. Mahmoud in the negative.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES13
PROOF DEPTH1
DOCUMENT LINKS1
Both pairs are inequivalent
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A state stabilized by binary operators that is not locally a stabilizer statetruth-dependency · Closed
- Bell-diagonal entanglement distance refutationtruth-dependency · Closed
- Concealment does not determine the adjoint kerneltruth-dependency · Closed
- Extended local permutations do not suffice for block-shift formtruth-dependency · Closed
- Gingrich's proposed three-qubit monotone increases on average under a local measurementtruth-dependency · Closed
- Statistical strength of the two-singlet magic squaretruth-dependency · Closed
- Supersymmetric fermion chain: JordanWignertruth-dependency · Closed
- The fully entangled fraction and the steering-ellipsoid centretruth-dependency · Closed
- The residual-correlation sum of four qubits is not an entanglement monotonetruth-dependency · Closed
- The signed Pauli sum bound fails for three qubitstruth-dependency · Closed
- Three-weight Pauli channels have Bayesian inverses only at the maximally mixed statetruth-dependency · Closed
- WassersteinComplexityNonconvextruth-dependency · Closed
- Wigner distance minimum attainmenttruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A power-mean counterexample in the Euclidean operator normstructural-affinity · Closed
- A state stabilized by binary operators that is not locally a stabilizer statestructural-affinity · Closed
- Address-Record Correlation Monogamystructural-affinity · Closed
- An Exact Qutrit Quartic-Context Witnessstructural-affinity · Closed
- Bell-diagonal entanglement distance refutationstructural-affinity · Closed
- Deterministic Readout Commutativitystructural-affinity · Closed
- Exact Additive Pricing and Higher-Degree Pruningstructural-affinity · Closed
- Extended local permutations do not suffice for block-shift formstructural-affinity · Closed
- Finite-Dimensional Quantum Skeletonsstructural-affinity · Closed
- First-level inexactness on the weighted-crown intervalstructural-affinity · Closed
- Gingrich's proposed three-qubit monotone increases on average under a local measurementstructural-affinity · Closed
- Non-cyclic periodic Fredkin eigenstates are annihilatedstructural-affinity · Closed
- Positive One-Mode Williamson Formstructural-affinity · Closed
- Pronko's Dyck-class operator commutes with the periodic Fredkin Hamiltonianstructural-affinity · Closed
- Statistical strength of the two-singlet magic squarestructural-affinity · Closed
- Supersymmetric fermion chain: JordanWignerstructural-affinity · Closed
- The residual-correlation sum of four qubits is not an entanglement monotonestructural-affinity · Closed
- The signed Pauli sum bound fails for three qubitsstructural-affinity · Closed
- The spectral geometric Log-Euclidean comparison failsstructural-affinity · Closed
- Weighted crown moment certificatestructural-affinity · Closed
- Weighted crown spectral boundstructural-affinity · Closed
- Wigner distance minimum attainmentstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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