Quantum / CONCEPT
A lower bound on qutrit magic from coherence
For every normalized pure qutrit state, the sum negativity is at least (C/2) sqrt(1 - C/2), where C is its l1 coherence.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH8
DOCUMENT LINKS0
The lower bound holds for every pure qutrit
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
- Correlated coherence need not be monogamous for pure three-qubit statesstructural-affinity · Closed
- Input Information Balancestructural-affinity · Closed
- Rényi CMI local-channel monotonicitystructural-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
- The Pure-State Handshakestructural-affinity · Closed
- The residual-correlation sum of four qubits is not an entanglement monotonestructural-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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