Quantum / CONCEPT
WassersteinComplexityNonconvex
A qubit dephasing midpoint refutes convexity of Wasserstein complexity.
Closed
DIRECT PREREQUISITES12
DIRECT CONSEQUENCES1
PROOF DEPTH21
DOCUMENT LINKS0
trace_sqrt_sq_le_two
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A local measure-and-reset refutes the LOCC monotonicity of I2truth-dependency · Closed
- A state stabilized by binary operators that is not locally a stabilizer statetruth-dependency · Closed
- Cartesian variancetruth-dependency · Closed
- Finite Kraus Quantum Channelstruth-dependency · Closed
- Finite-Dimensional Quantum Skeletonstruth-dependency · Closed
- Local-unitary inequivalence of two weight-isometric pairs of stabilizer codestruth-dependency · Closed
- Partial Trace and Quantum Mutual Informationtruth-dependency · Closed
- Positive Pauli Clock Ordertruth-dependency · Closed
- Projected Unitary Dynamicstruth-dependency · Closed
- QubitWassersteinCouplingstruth-dependency · Closed
- Relative quantumness can increase under a commutativity-preserving channeltruth-dependency · Closed
- The fully entangled fraction and the steering-ellipsoid centretruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A local measure-and-reset refutes the LOCC monotonicity of I2structural-affinity · Closed
- A symmetric injective matrix-product family with four physical levelsstructural-affinity · Closed
- Cartesian variancestructural-affinity · Closed
- Finite Memory History Capacitystructural-affinity · Closed
- Nonviolation of CHSH for all high-spin componentsstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Pauli Fisher information along a GHZ phase familystructural-affinity · Closed
- Positive Pauli Clock Orderstructural-affinity · Closed
- Purify-and-clone is not optimal for one-site worst-case riskstructural-affinity · Closed
- QubitWassersteinCouplingsstructural-affinity · Closed
- Robustness of ancilla-free testersstructural-affinity · Closed
- Square-Free Source Jets as Cyclic Tracesstructural-affinity · Closed
- Symmetric SATWAP attainment in every dimensionstructural-affinity · Closed
- The balanced-cut gradient bound fails for eight qubitsstructural-affinity · Closed
- The fully entangled fraction and the steering-ellipsoid centrestructural-affinity · Closed
- The purification lower bound fails for a qutritstructural-affinity · Closed
- The sharp fidelity bound for marginal process approximationsstructural-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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