Quantum / CONCEPT
Even-depth permuted brickwork fails positive semidefiniteness
For four sites, every local dimension q at least two and every even depth at least two give a permuted-brickwork Haar moment with a strictly negative quadratic form.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
Failure at every even depth
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
- Concatenation can increase the cHaar moment normstructural-affinity · Closed
- Entropy saturation forces a symmetric informationally complete measurementstructural-affinity · Closed
- Optimal visibility for calibrated joint measurementsstructural-affinity · Closed
- Purify-and-clone is not optimal for one-site worst-case riskstructural-affinity · Closed
- The Alsing–Birrittella logarithmic-negativity sandwichstructural-affinity · Closed
- The two-copy Haar moment and its local rulestructural-affinity · Closed
- Two-classical dephasing without an unbiased measurementstructural-affinity · Closed
- Werner states undetected by all complex testersstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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