Quantum observation scheme universally identifying causalities from correlations

March 08, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Chenguang Zhang, Yuexian Hou, Dawei Song arXiv ID 1903.03449 Category quant-ph: Quantum Computing Cross-listed cs.IT Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
It has long been recognized as a difficult problem to determine whether the observed statistical correlation between two classical variables arise from causality or from common causes. Recent research has shown that in quantum theoretical framework, the mechanisms of entanglement and quantum coherence provide an advantage in tackling this problem. In some particular cases, quantum common causes and quantum causality can be effectively distinguished using observations only. However, these solutions do not apply to all cases. There still exist enormous cases in which quantum common causes and quantum causality can not be distinguished. In this paper, along the line of considering unitary transformation as causality in the quantum world, we formally show quantum common causes and quantum causality are universally separable. Based on the analysis, we further provide a general method to discriminate the two.
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