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

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Summary

Introduction

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

General structure of a universal process
Realization of universal processes
Conclusions

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