Quantum / CONCEPT
Binegativity is not monotone under one-way LOCC
Binegativity increases under a finite one-way LOCC channel on two qubits. Alice applies a local filter and sends its outcome to Bob, who resets to |1> on failure. Forgetting the outcomes gives a deterministic counterexample to the monotonicity conjecture of Girard and Gour.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
The conjecture fails
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
- ConstructionReductionstructural-affinity · Closed
- Negativity and structured negativity differ for a pure two-qutrit statestructural-affinity · Closed
- Negativity is not the partial transpose distance to the PPT statesstructural-affinity · Closed
- Noisy entanglement curvature can exceed quantum Fisher informationstructural-affinity · Closed
- The separable numerical range of one two-qubit observablestructural-affinity · Closed
- The two-qubit binegativity lower bound at fixed negativitystructural-affinity · Closed
- The upper binegativity bound of Girard and Gour failsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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