Quantum / CONCEPT
Achievable (k-fidelity, process fidelity) regions and single-fidelity non-identifiability
Exact planar regions of pairs (F_k(Lambda), F(Lambda)) realized by n-qubit completely positive trace-preserving maps across k = 0, 1 <= k <= n - 1, and k >= n, closed-form upper and lower process-fidelity envelopes at prescribed 0-fidelity, unimodal maximizer analysis of the binomial weight kernel, and non-identifiability of F(Lambda) from any single F_k(Lambda) for n >= 2 and k <= n - 1.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS0
Exact 0-fidelity achievable triangle, single-qubit segment, and extremal envelopes
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
- A counterexample to Fan–Wu–Fei channel coherence dominationstructural-affinity · Closed
- A qubit pure-program obstructionstructural-affinity · Closed
- Equivalence of PPT-squared and IPT-squaredstructural-affinity · Closed
- Finite Kraus Representationsstructural-affinity · Closed
- Pauli-weight expansion and alternating truncation bounds for qubit SIC k-fidelitiesstructural-affinity · Closed
- Real Readouts and Complete Positivitystructural-affinity · Closed
- Trace-preserving linear reconstruction and CPTP joint k-fidelity simplex geometrystructural-affinity · Closed
- Weighted defects of finite operator wordsstructural-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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