Quantum / CONCEPT
Pauli-weight expansion and alternating truncation bounds for qubit SIC k-fidelities
Multi-qubit Pauli process matrices, Pauli-twirl weight distributions, single-qubit SIC projectors and overlap-inverse kernels, per-qubit diagonal functionals, the alternating binomial Pauli-weight formula for every SIC k-fidelity of an arbitrary linear qubit map, and alternating truncation bounds for completely positive maps.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES2
PROOF DEPTH3
DOCUMENT LINKS0
Pauli process-matrix expansion, process fidelity identity, and CP/TP properties
RELATIONSHIP ATLAS
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Direct recorded relationships
Proof dependencyStructural affinityDocument link
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Prerequisites
Certified topology / DOWNSTREAM
Consequences
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
- Finite Kraus Quantum Channelsstructural-affinity · Closed
- Finite Kraus Representationsstructural-affinity · Closed
- Finite-Dimensional Quantum Skeletonsstructural-affinity · Closed
- Real Readouts and Complete Positivitystructural-affinity · Closed
- Refuting the density-tensor nuclear-norm equality conjecturestructural-affinity · Closed
- The Pure-State Handshakestructural-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
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