Quantum / CONCEPT
The sharp fidelity bound for marginal process approximations
The product of single-site process marginals has squared fidelity at least four to the minus N, with equality for cyclic wire permutations on at least two qubits.
Closed
DIRECT PREREQUISITES6
DIRECT CONSEQUENCES1
PROOF DEPTH23
DOCUMENT LINKS0
Tensor products of diagonal matrices
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A generic-state counterexample in the kicked Ising chaintruth-dependency · Closed
- Genuine entanglement and commutation ranktruth-dependency · Closed
- PurifiedLocalPathtruth-dependency · Closed
- Purify-and-clone is not optimal for one-site worst-case risktruth-dependency · Closed
- The Gurvits--Barnum separable balltruth-dependency · Closed
- Three-weight Pauli channels have Bayesian inverses only at the maximally mixed statetruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A generic-state counterexample in the kicked Ising chainstructural-affinity · Closed
- A symmetric injective matrix-product family with four physical levelsstructural-affinity · Closed
- Genuine entanglement and commutation rankstructural-affinity · Closed
- Pauli Fisher information along a GHZ phase familystructural-affinity · Closed
- PurifiedLocalPathstructural-affinity · Closed
- Purify-and-clone is not optimal for one-site worst-case riskstructural-affinity · Closed
- Square-Free Source Jets as Cyclic Tracesstructural-affinity · Closed
- The Gurvits--Barnum separable ballstructural-affinity · Closed
- Three-weight Pauli channels have Bayesian inverses only at the maximally mixed statestructural-affinity · Closed
- WassersteinComplexityNonconvexstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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