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arXiv:2307.02266 · Annals of Physics

Preparation of two-qubit entangled states on a spin-1/2 Ising–Heisenberg diamond spin cluster by controlling the measurement

Andrij Romanovych Kuzmak

Published Jun 22, 2023• 1 citation
arXivHTMLPDF
DOI
10.1016/j.aop.2023.169397

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Abstract In the last two decades, magnetic, thermodynamic properties and bipartite thermal entanglement in diamond spin clusters and chains have been studied. Such spin structures are presented in various compounds. The ions of Cu2+ in the natural mineral azurite are arranged in a diamond spin chain. There are no studies of the entanglement behaviour during the quantum evolution of such systems. Herein, we consider the evolution of entanglement in the diamond spin-1/2 cluster. This cluster consists of two central spins described by the anisotropic Heisenberg model, which interact with two side spins via Ising interaction. The influence of the interaction coupling with side spins on the entanglement of central spins is investigated. It is shown that choosing the value of this coupling allows us to control the behaviour of entanglement between central spins. As a result, we find conditions for achieving the maximal values of entanglement. In addition, the entanglement behaviour between the side spins, central and side spins, and between a certain spin and the rest of the system is studied. In these cases, the conditions for achieving maximal entanglement are also obtained.
With the rapid development of quantum information over the last decade, there is a growing need to identify physical systems that can effectively implement quantum computing. One such system is the diamond spin cluster, which appears in various chemical compounds, including the natural mineral azurite, where copper ions are arranged in this structure. Here, we study the time evolution of a diamond spin cluster with Ising-Heisenberg interaction under the influence of a thermal bosonic bath, which simulates the environment. Using negativity as a measure, we analyze the entanglement behavior between the central spins of the system. We demonstrate how the environment influences the presence of entanglement in the system. Specifically, we show that for certain values of the environment parameters, entanglement increases significantly. Furthermore, we identify the conditions under which entanglement reaches its maximum possible values.