Quantum Inflation: A General Approach to Quantum Causal Compatibility
Causality is a seminal concept in science: Any research discipline, from sociology and medicine to physics and chemistry, aims at understanding the causes that could explain the correlations observed among some measured variables. While several methods exist to characterize classical causal models,...
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American Physical Society
2021
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oai:doaj.org-article:b9434ca123374b7ba8e004e8a935f9f32021-12-02T16:51:52ZQuantum Inflation: A General Approach to Quantum Causal Compatibility10.1103/PhysRevX.11.0210432160-3308https://doaj.org/article/b9434ca123374b7ba8e004e8a935f9f32021-05-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.021043http://doi.org/10.1103/PhysRevX.11.021043https://doaj.org/toc/2160-3308Causality is a seminal concept in science: Any research discipline, from sociology and medicine to physics and chemistry, aims at understanding the causes that could explain the correlations observed among some measured variables. While several methods exist to characterize classical causal models, no general construction is known for the quantum case. In this work, we present quantum inflation, a systematic technique to falsify if a given quantum causal model is compatible with some observed correlations. We demonstrate the power of the technique by reproducing known results and solving open problems for some paradigmatic examples of causal networks. Our results may find applications in many fields: from the characterization of correlations in quantum networks to the study of quantum effects in thermodynamic and biological processes.Elie WolfeAlejandro Pozas-KerstjensMatan GrinbergDenis RossetAntonio AcínMiguel NavascuésAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 2, p 021043 (2021) |
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Physics QC1-999 Elie Wolfe Alejandro Pozas-Kerstjens Matan Grinberg Denis Rosset Antonio Acín Miguel Navascués Quantum Inflation: A General Approach to Quantum Causal Compatibility |
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Causality is a seminal concept in science: Any research discipline, from sociology and medicine to physics and chemistry, aims at understanding the causes that could explain the correlations observed among some measured variables. While several methods exist to characterize classical causal models, no general construction is known for the quantum case. In this work, we present quantum inflation, a systematic technique to falsify if a given quantum causal model is compatible with some observed correlations. We demonstrate the power of the technique by reproducing known results and solving open problems for some paradigmatic examples of causal networks. Our results may find applications in many fields: from the characterization of correlations in quantum networks to the study of quantum effects in thermodynamic and biological processes. |
format |
article |
author |
Elie Wolfe Alejandro Pozas-Kerstjens Matan Grinberg Denis Rosset Antonio Acín Miguel Navascués |
author_facet |
Elie Wolfe Alejandro Pozas-Kerstjens Matan Grinberg Denis Rosset Antonio Acín Miguel Navascués |
author_sort |
Elie Wolfe |
title |
Quantum Inflation: A General Approach to Quantum Causal Compatibility |
title_short |
Quantum Inflation: A General Approach to Quantum Causal Compatibility |
title_full |
Quantum Inflation: A General Approach to Quantum Causal Compatibility |
title_fullStr |
Quantum Inflation: A General Approach to Quantum Causal Compatibility |
title_full_unstemmed |
Quantum Inflation: A General Approach to Quantum Causal Compatibility |
title_sort |
quantum inflation: a general approach to quantum causal compatibility |
publisher |
American Physical Society |
publishDate |
2021 |
url |
https://doaj.org/article/b9434ca123374b7ba8e004e8a935f9f3 |
work_keys_str_mv |
AT eliewolfe quantuminflationageneralapproachtoquantumcausalcompatibility AT alejandropozaskerstjens quantuminflationageneralapproachtoquantumcausalcompatibility AT matangrinberg quantuminflationageneralapproachtoquantumcausalcompatibility AT denisrosset quantuminflationageneralapproachtoquantumcausalcompatibility AT antonioacin quantuminflationageneralapproachtoquantumcausalcompatibility AT miguelnavascues quantuminflationageneralapproachtoquantumcausalcompatibility |
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1718382938936049664 |