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The identification of causal relations is a cornerstone of the scientificmethod. Traditional approaches to this task are based on classical statistics.However, such classical approaches do not apply in the quantum domain, where abroader spectrum of causal relations becomes accessible. New approaches toquantum causal inference have been developed in recent years, and promising newfeatures have been discovered. In this paper, we review and partly expand theframework and results of Ref. [1], which demonstrated quantum speedups in theidentification of various types of causal relations induced by reversibleprocesses.

Fast tests for probing the causal structure of quantum processes