Quantum / CONCEPT
The four-qubit Fredkin gate generates more than two ebits across AD:BC
The four-qubit Fredkin gate F_4 generates more than two ebits across the cut AD:BC: one product input with auxiliary systems gives 2.00034... ebits. This refutes the conjecture of X. Qiu, Z. Song and L. Chen (arXiv:2410.15253) that the entanglement generation K_AD:BC(F_4) equals two ebits.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS1
An input that generates more than two ebits
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
- HiguchiSudberyEntropyMaximumstructural-affinity · Closed
- HS4Assemblystructural-affinity · Closed
- Input Information Balancestructural-affinity · Closed
- Oblique discord: mutual information can increasestructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Pure-state ECQC fails in dimension fivestructural-affinity · Closed
- QubitEntropyContractionstructural-affinity · Closed
- QubitNormalFormStatestructural-affinity · Closed
- ReflectionEvaluationstructural-affinity · Closed
- The kernel and trace criteria are not equivalentstructural-affinity · Closed
- The minimum of purity plus time-reversal overlapstructural-affinity · Closed
- The minimum of the long-time algebra OTOCstructural-affinity · Closed
Documents & exposition
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LIBRARY / RELEASE VERSIONS
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