Derives closed-form formulas and asymptotic expressions for total variation distance between Haar-averaged aggregate histogram laws from collective vs. local random unitaries in fixed-N large-d, fixed-d large-N, sparse, and critical scaling regimes.
Comparison of unknown unitary channels with multiple uses
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Asymptotic distinguishability of Haar-averaged measurement models
Derives closed-form formulas and asymptotic expressions for total variation distance between Haar-averaged aggregate histogram laws from collective vs. local random unitaries in fixed-N large-d, fixed-d large-N, sparse, and critical scaling regimes.