The paper shows that for some pairs of unitary channels, perfect discrimination is possible with separable states but nearly impossible with maximally entangled states, introducing MEWC and MEBC concepts.
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k-designs achieve maximal multi-copy discriminability for pure states when N suffices, mixed states outperform beyond that, and quantum offers quadratic advantage over classical in Bayes capacity terms.
The authors experimentally demonstrate time-delocalized local measurements inside a photonic quantum switch that preserve indefinite causal order, achieving a causal witness value of C_W ≈ -0.305(1).
Quantum strategy stores isometry channels with n = Θ(1/√ε) queries for error ε, quadratic improvement over classical n = Θ(ε^{-1}).
First experimental implementation of a device-independent inequality violation for indefinite causal order, with measured value 1.8328 ± 0.0045 against bound 1.75.
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