Multi-partite entanglement in Davies environment

Konrad Jałowiecki,Jerzy Dajka

doi:10.1140/epjst/e2019-800042-9

Konrad Jałowiecki, Jerzy Dajka

Open Access

https://doi.org/10.1140/epjst/e2019-800042-9

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Abstract

We analyse dynamics of genuinely multi-partite entanglement of N-qubit states initially prepared in the form of so called X-matrices with one qubit coupled to a Davies-type environment. We develop an analytic formula for genuinely multi-partite concurrence of the investigated states as a function of time and analyze its time evolution with an emphasis on the qualitative difference between systems affected by a pure decoherence only and those which do dissipate energy at finite temperature.

Highlights

An effect of the omnipresent decoherence [1] has to be taken into account by all who consider quantum mechanics as a modern and useful resource for information processing
The celebrated entanglement [2] is the most “quantum” resource with a wide spectrum of applications starting from quantum communication, cryptography and quantum computation based on multi-partite entangled cluster states [3]
Since all the protocols act on the stage of real world at finite temperature, coupled to environment, it is of vital importance to verify their effectiveness under an influence of noise

Summary

Introduction

An effect of the omnipresent decoherence [1] has to be taken into account by all who consider quantum mechanics as a modern and useful resource for information processing. The celebrated entanglement [2] is (probably) the most “quantum” resource with a wide spectrum of applications starting from quantum communication (e.g. teleportation), cryptography (key management via the Ekert-like protocols) and quantum computation based on multi-partite entangled cluster states [3]. Various aspects of entanglement of open quantum systems is an object of intensive studies [4] both in a context of bi- and multi-partite entanglement. The latter is ‘harder’ to study because it is harder to define [5]. Our present work continues and supplements our previous studies of quantum phenomena in a presence of Davies environment modelled via the Davies maps [21] related to quantum information processing

Davies decoherece and entanglement

Summary