Quantum / CONCEPT
PurifiedLocalPath
For every finite local protocol with a nonempty finite holder set and a finite spectator, with independent mixed local ancillas, internally constructed spectral local purifications reproduce the original initialization on every matrix. Every observed path has an exact holder-local product factorization with explicit inaccessible-register regrouping, isometric root maps, the accumulated local recurrence and inactive identity coordinate equivalences.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES15
PROOF DEPTH3
DOCUMENT LINKS1
purified local path bridge
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A counterexample to the Young-subgroup cross-sum inequalitytruth-dependency · Closed
- Amplitude-damping channels resist perfect measure-and-prepare cloningtruth-dependency · Closed
- DetectorSensorDickeOptimalitytruth-dependency · Closed
- FiniteLocalRecoveryObstructiontruth-dependency · Closed
- FiniteLocalSharedLabelRecoverytruth-dependency · Closed
- One measurement does not force noncontextualitytruth-dependency · Closed
- ProductPrefixRigiditytruth-dependency · Closed
- Simultaneous entanglement for all fixed tensor partitionstruth-dependency · Closed
- Subspace average linear stabilizer entropy and fourth-moment cycle tracestruth-dependency · Closed
- Tensor averages and asymptotic overlapstruth-dependency · Closed
- The exact quantum bound for nonlocality depthtruth-dependency · Closed
- The sharp fidelity bound for marginal process approximationstruth-dependency · Closed
- The three-state root-fidelity Holevo boundtruth-dependency · Closed
- Unambiguous discrimination without repeated labelstruth-dependency · Closed
- Zero-magic-gap three-dimensional subspaces in every power-of-two dimensiontruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A counterexample to the Young-subgroup cross-sum inequalitystructural-affinity · Closed
- Amplitude-damping channels resist perfect measure-and-prepare cloningstructural-affinity · Closed
- Bernards--Gühne hybrid classical boundstructural-affinity · Closed
- DetectorSensorDickeOptimalitystructural-affinity · Closed
- Finite causal schedules as executable quantum relation graphsstructural-affinity · Closed
- Finite instruments as a fixed quantum relation graphstructural-affinity · Closed
- FiniteLocalProtocolstructural-affinity · Closed
- FiniteLocalRecoveryObstructionstructural-affinity · Closed
- FiniteLocalSharedLabelRecoverystructural-affinity · Closed
- One measurement does not force noncontextualitystructural-affinity · Closed
- Parity-sector Clifford reduction and diagonal cosine fourth momentsstructural-affinity · Closed
- ProductPrefixRigiditystructural-affinity · Closed
- RetainedLocalProtocolstructural-affinity · Closed
- Simultaneous entanglement for all fixed tensor partitionsstructural-affinity · Closed
- Subspace average linear stabilizer entropy and fourth-moment cycle tracesstructural-affinity · Closed
- Tensor averages and asymptotic overlapsstructural-affinity · Closed
- The exact quantum bound for nonlocality depthstructural-affinity · Closed
- The sharp fidelity bound for marginal process approximationsstructural-affinity · Closed
- The unrestricted two-sided permanent lower bound is falsestructural-affinity · Closed
- Unambiguous discrimination without repeated labelsstructural-affinity · Closed
- Zero-magic-gap three-dimensional subspaces in every power-of-two dimensionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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