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quant-ph2026
Asymptotic distinguishability of Haar-averaged measurement models
Ludmiła Marcinkowska, Łukasz Pawela, Marcin Markiewicz +1
We study discrimination problems generated by the same basic Haar-random measurement mechanism at two observational levels. First, we derive an explicit expression for the type-II…
quant-ph2025
Choi-level twirling of quantum channels: finite constructions and non-compact transformations
Marcin Markiewicz, Łukasz Pawela, Zbigniew Puchała
Twirling, i.e. averaging over symmetry actions, is a standard tool for reducing quantum states and channels to a symmetry-invariant form. We study channel twirling from the perspec…
quant-ph2025
Single-shot comparison of random quantum channels and measurements
Marcin Markiewicz, Łukasz Pawela, Zbigniew Puchała
In this work we provide an efficiency analysis of the problem of comparison of two randomly chosen quantum operations in the single-shot regime. We provide tight bounds for the suc…