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Distinguishability of Locally Diagonal Orthogonally Invariant Quantum States

New framework reduces quantum state discrimination complexity from n⁴ to O(n²) for LDOI states (Werner, isotropic, X-states, Dicke). Proves LOCC=SEP=PPT optima for all two-qubit cases; PPT-LOCC gap bounded by (n-2)/(2n²), max 1/16 at n=4.

#QuantumInformation #QuantumStateDiscrimination #Research

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