Applications of Temporal Quantum Correlations
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Release | : 2022 |
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Author | : Costantino Budroni |
Publisher | : Springer |
Total Pages | : 124 |
Release | : 2015-10-22 |
Genre | : Science |
ISBN | : 3319241699 |
In this thesis, the main approach to the characterization of the set of classical probabilities, the correlation polytope approach, is reviewed for different scenarios, namely, hidden variable models discussed by Bell (local), Kochen and Specker (non-contextual), and Leggett and Garg (macrorealist). Computational difficulties associated with the method are described and a method to overcome them in several nontrivial cases is presented. For the quantum case, a general method to analyze quantum correlations in the sequential measurement scenario is provided, which allows computation of the maximal correlations. Such a method has a direct application for computation of maximal quantum violations of Leggett-Garg inequalities and it is relevant in the analysis of non-contextuality tests. Finally, possible applications of the results for quantum information tasks are discussed.
Author | : Mark Kasperczyk |
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Release | : 2016 |
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Author | : Tian Zhang |
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Release | : 2020 |
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Author | : 古煥宇 |
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Total Pages | : 88 |
Release | : 2019 |
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Total Pages | : 50 |
Release | : 2015 |
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Author | : Jochen Szangolies |
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Total Pages | : |
Release | : 2016 |
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Author | : 陳信良 |
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Total Pages | : 74 |
Release | : 2017 |
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Author | : Farid Shahandeh |
Publisher | : Springer |
Total Pages | : 166 |
Release | : 2019-08-02 |
Genre | : Science |
ISBN | : 3030241203 |
The correlations between physical systems provide significant information about their collective behaviour – information that is used as a resource in many applications, e.g. communication protocols. However, when it comes to the exploitation of such correlations in the quantum world, identification of the associated ‘resource’ is extremely challenging and a matter of debate in the quantum community. This dissertation describes three key results on the identification, detection, and quantification of quantum correlations. It starts with an extensive and accessible introduction to the mathematical and physical grounds for the various definitions of quantum correlations. It subsequently focusses on introducing a novel unified picture of quantum correlations by taking a modern resource-theoretic position. The results show that this novel concept plays a crucial role in the performance of collaborative quantum computations that is not captured by the standard textbook approaches. Further, this new perspective provides a deeper understanding of the quantum-classical boundary and paves the way towards establishing a resource theory of quantum computations.
Author | : Jochen Szangolies |
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Release | : 2017 |
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