Academic Journal

Quantum Common Causes and Quantum Causal Models

التفاصيل البيبلوغرافية
العنوان: Quantum Common Causes and Quantum Causal Models
المؤلفون: John-Mark A. Allen, Jonathan Barrett, Dominic C. Horsman, Ciarán M. Lee, Robert W. Spekkens
المصدر: Physical Review X, Vol 7, Iss 3, p 031021 (2017)
بيانات النشر: American Physical Society, 2017.
سنة النشر: 2017
المجموعة: LCC:Physics
مصطلحات موضوعية: Physics, QC1-999
الوصف: Reichenbach’s principle asserts that if two observed variables are found to be correlated, then there should be a causal explanation of these correlations. Furthermore, if the explanation is in terms of a common cause, then the conditional probability distribution over the variables given the complete common cause should factorize. The principle is generalized by the formalism of causal models, in which the causal relationships among variables constrain the form of their joint probability distribution. In the quantum case, however, the observed correlations in Bell experiments cannot be explained in the manner Reichenbach’s principle would seem to demand. Motivated by this, we introduce a quantum counterpart to the principle. We demonstrate that under the assumption that quantum dynamics is fundamentally unitary, if a quantum channel with input A and outputs B and C is compatible with A being a complete common cause of B and C, then it must factorize in a particular way. Finally, we show how to generalize our quantum version of Reichenbach’s principle to a formalism for quantum causal models and provide examples of how the formalism works.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2160-3308
Relation: https://doaj.org/toc/2160-3308
DOI: 10.1103/PhysRevX.7.031021
URL الوصول: https://doaj.org/article/2bdb72ce4a774ed3a4934851cae3c01e
رقم الانضمام: edsdoj.2bdb72ce4a774ed3a4934851cae3c01e
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:21603308
DOI:10.1103/PhysRevX.7.031021