Quantum / CONCEPT
Trace-preserving linear reconstruction and CPTP joint k-fidelity simplex geometry
Universal alternating linear relation among F_0, ..., F_{n-1} and the entanglement process fidelity F for arbitrary trace-preserving linear qubit maps, affine independence of the n + 1 Pauli-weight vertices in R^n, and exact n-simplex characterization of the joint CPTP k-fidelity range with unique barycentric recovery of (Q_0, ..., Q_n) and F.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH4
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Universal linear relation and exact fidelity reconstruction for trace-preserving maps
RELATIONSHIP ATLAS
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Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
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RELATED KNOWLEDGE
Structural connections
- A counterexample to Fan–Wu–Fei channel coherence dominationstructural-affinity · Closed
- A qubit pure-program obstructionstructural-affinity · Closed
- Achievable (k-fidelity, process fidelity) regions and single-fidelity non-identifiabilitystructural-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
- Weighted defects of finite operator wordsstructural-affinity · Closed
Documents & exposition
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