trureturingGitHub MATHEMATICAL ATLAS

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.

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THEOREM

Exact 0-fidelity achievable triangle, single-qubit segment, and extremal envelopes

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Pauli-weight expansion and alternating truncation bounds for qubit SIC k-fidelitiesPauli-weight expansion andalternating truncation boundsfor qubit SIC k-fidelitiesAchievable (k-fidelity, process fidelity) regions and single-fidelity non-identifiabilityAchievable (k-fidelity, processfidelity) regions and single-fidelity non-identifiability
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