QuantumBounds / CONCEPT
Negativity does not imply positive reduction
A pure two-qutrit state has the attained negativity bound but fails positive reduction.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES5
PROOF DEPTH9
DOCUMENT LINKS0
The inclusion fails in dimension three
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Collective dephasing can preserve negativity while changing the statetruth-dependency · Closed
- The Allen–Meyer family omits achievable three-qutrit negativitiestruth-dependency · Closed
- The fixed-marginal candidate need not maximize two-qutrit negativitytruth-dependency · Closed
- The optimal negativity of a non-selective two-qubit measurementtruth-dependency · Closed
- Two unbounded entanglement gaps with one qubittruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A generic-state counterexample in the kicked Ising chainstructural-affinity · Closed
- Coherent Premeasurement and Correlation Taxstructural-affinity · Closed
- Collective dephasing can preserve negativity while changing the statestructural-affinity · Closed
- Schur-channel mixed-unitary distance equalitystructural-affinity · Closed
- The Allen–Meyer family omits achievable three-qutrit negativitiesstructural-affinity · Closed
- The fixed-marginal candidate need not maximize two-qutrit negativitystructural-affinity · Closed
- The optimal negativity of a non-selective two-qubit measurementstructural-affinity · Closed
- The Pure-State Handshakestructural-affinity · Closed
- The qutrit complementary-entropy frontierstructural-affinity · Closed
- Two unbounded entanglement gaps with one qubitstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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