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Titlebook: Rethinking Causality in Quantum Mechanics; Christina Giarmatzi Book 2019 Springer Nature Switzerland AG 2019 Quantum Causality.Causality.C

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书目名称Rethinking Causality in Quantum Mechanics
编辑Christina Giarmatzi
视频video
概述Nominated as an outstanding Ph.D. thesis by the University of Queensland, Brisbane, Australia,.One of the first comprehensive introductions to quantum causality.In-depth description of concepts and me
丛书名称Springer Theses
图书封面Titlebook: Rethinking Causality in Quantum Mechanics;  Christina Giarmatzi Book 2019 Springer Nature Switzerland AG 2019 Quantum Causality.Causality.C
描述.Causality is central to understanding the mechanisms of nature: some event "A" is the cause of another event “B”. Surprisingly, causality does not follow this simple rule in quantum physics: due to to quantum superposition we might be led to believe that "A causes B” and that "B causes A”. This idea is not only important to the foundations of physics but also leads to practical advantages: a quantum circuit with such indefinite causality performs computationally better than one with definite causality. This thesis provides one of the first comprehensive introductions to quantum causality, and presents a number of advances. It provides an extension and generalization of a framework that enables us to study causality within quantum mechanics, thereby setting the stage for the rest of the work. This comprises: mathematical tools to define causality in terms of probabilities; computational tools to prove indefinite causality in an experiment; means to experimentally test particular causal structures; and finally an algorithm that detects the exact causal structure in an quantum experiment..
出版日期Book 2019
关键词Quantum Causality; Causality; Causal Order; Indefinite Causal Order; Causal Nonseparability; Quantum Swit
版次1
doihttps://doi.org/10.1007/978-3-030-31930-4
isbn_softcover978-3-030-31932-8
isbn_ebook978-3-030-31930-4Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer Nature Switzerland AG 2019
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Witnessing Causal Nonseparability: Theory and Experiment, of those. Using the process matrix formalism, we find a set of measurements within the process that proves causal non-separability. The problem of finding these measurements can be written as a SemiDefinite Program that can be solved efficiently. We apply our method in an experiment we performed in
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Experimental Test of a Classical Causal Model for Quantum Correlations,his model holds. With the same setup, we also obtain correlations that cannot be explained with this causal model, therefore ruling out completely this causal model as an explanation for quantum correlations in a Bell-type experiment.
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A Quantum Causal Discovery Algorithm,x formalism, one can discover the quantum causal model (the connections between the events) by checking which linear constraints the process matrix satisfies. We write an algorithm in MatLab—available on github—that discovers the quantum causal model of a process matrix. It is the first quantum caus
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Witnessing Causal Nonseparability: Theory and Experiment,nding these measurements can be written as a SemiDefinite Program that can be solved efficiently. We apply our method in an experiment we performed in our labs, where we implemented a causally non-separable process and proved it to be so by performing unitary operations and final measurements.
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