Coarse-grained distinguishability of field interactions

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Beny, C.: Coarse-grained distinguishability of field interactions. In: Quantum 2 (2018), 67. DOI: https://doi.org/10.22331/q-2018-05-24-67

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Sum total of downloads: 79




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Abstract: 
Information-theoretical quantities such as statistical distinguishability typically result from optimisations over all conceivable observables. Physical theories, however, are not generally considered valid for all mathematically allowed measurements. For instance, quantum field theories are not meant to be correct or even consistent at arbitrarily small lengthscales. A general way of limiting such an optimisation to certain observables is to first coarse-grain the states by a quantum channel. We show how to calculate contractive quantum information metrics on coarse-grained equilibrium states of free bosonic systems (Gaussian states), in directions generated by arbitrary perturbations of the Hamiltonian. As an example, we study the Klein-Gordon field. If the phase-space resolution is coarse compared to h-bar, the various metrics become equal and the calculations simplify. In that context, we compute the scale dependence of the distinguishability of the quartic interaction.
License of this version: CC BY 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2018
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of United States United States 53 67.09%
2 image of flag of Germany Germany 14 17.72%
3 image of flag of Singapore Singapore 4 5.06%
4 image of flag of Morocco Morocco 2 2.53%
5 image of flag of Thailand Thailand 1 1.27%
6 image of flag of Sweden Sweden 1 1.27%
7 image of flag of Russian Federation Russian Federation 1 1.27%
8 image of flag of India India 1 1.27%
9 image of flag of Hong Kong Hong Kong 1 1.27%
10 image of flag of Czech Republic Czech Republic 1 1.27%

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