Abstract
We generalize bipartite universal processes to the subclass of multi-particle universal processes from one to N particles. We show how the general statement for a multi-particle universal process can be constructed. The one-parameter family of processes generating totally anti-symmetric states has been generalized to a multi-particle regime and its entanglement properties have been studied. A view is given on the complete positivity and the possible physical realization of universal processes.
Highlights
In recent years much effort has been invested in an investigation of how to employ quantum systems as parts of a computer
It has been demonstrated that quantum information is different from classical information and that the essence of this difference lies in the entanglement of quantum systems
We show how the general statement for a multi-particle universal process can be constructed
Summary
In recent years much effort has been invested in an investigation of how to employ quantum systems as parts of a computer. Imperfect copies can be made [2, 3] This particular process of cloning belongs to the class of so called universal processes. The aim of this paper is to generalize the results obtained for two-particle universal processes to the subclass of multi-particle universal processes from one to N particles For this purpose we use theoretical framework developed in [4]. The one-parameter family of processes generating totally anti-symmetric states was generalized to a multi-particle regime and its properties were studied, mainly bipartite entanglement. For this purpose we use the concept of negativity [5]. We briefly review the question of the complete positivity of the obtained universal processes
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