A reduction framework from sample complexity yields matching time lower bounds for purity estimation, high-order functionals, productness testing, and related quantum protocols.
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Defines a residual collapse map for ordered POVMs that produces collapsed POVMs with mutually orthogonal non-escape coordinates and characterizes the map's range and fibers.
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Quantum Time Lower Bounds by Permutation Invariance
A reduction framework from sample complexity yields matching time lower bounds for purity estimation, high-order functionals, productness testing, and related quantum protocols.