Quantum / CONCEPT
The two-copy Haar moment and its local rule
The normalized two-copy Haar average is Hermitian and idempotent. Its action on two-site identity/swap vectors has coefficient q/(q squared + 1).
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES9
PROOF DEPTH0
DOCUMENT LINKS0
Unitarity of the Hadamard matrix
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
- ChannelTimeReversalNoGotruth-dependency · Closed
- Concatenation can increase the cHaar moment normtruth-dependency · Closed
- Entropy saturation forces a symmetric informationally complete measurementtruth-dependency · Closed
- Even-depth permuted brickwork fails positive semidefinitenesstruth-dependency · Closed
- Optimal visibility for calibrated joint measurementstruth-dependency · Closed
- Purify-and-clone is not optimal for one-site worst-case risktruth-dependency · Closed
- The Alsing–Birrittella logarithmic-negativity sandwichtruth-dependency · Closed
- Two-classical dephasing without an unbiased measurementtruth-dependency · Closed
- Werner states undetected by all complex testerstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- ChannelTimeReversalNoGostructural-affinity · Closed
- Concatenation can increase the cHaar moment normstructural-affinity · Closed
- Corrected finite fourth momentsstructural-affinity · Closed
- Entropy saturation forces a symmetric informationally complete measurementstructural-affinity · Closed
- Even-depth permuted brickwork fails positive semidefinitenessstructural-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
- Two-classical dephasing without an unbiased measurementstructural-affinity · Closed
- Werner states undetected by all complex testersstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance