Quantum / CONCEPT
Modified separable Wasserstein transport can exceed quantum transport
For two mixed states in dimension four, the modified separable transport cost is at least 15/16, whereas the modified De Palma–Trevisan cost is at most 9/16.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH21
DOCUMENT LINKS0
A four-dimensional counterexample
RELATIONSHIP ATLAS
Every connection, in context.
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Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
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RELATED KNOWLEDGE
Structural connections
- A quantum behavior with rank of contextuality threestructural-affinity · Closed
- Collective dephasing can preserve negativity while changing the statestructural-affinity · Closed
- Log-negativity capacity depends on the input resourcestructural-affinity · Closed
- Partial-transpose trace dualitystructural-affinity · Closed
- QubitWassersteinCouplingsstructural-affinity · Closed
- Separable states outside every local-unitary stabilizer framestructural-affinity · Closed
- Spin covariance and Dicke coordinatesstructural-affinity · Closed
- The two-qubit SVD entanglement entropy lower boundstructural-affinity · Closed
Documents & exposition
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