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Quantum Information Processing

Tripartite entanglement sudden death in Yang-Baxter systems

Taotao Hu, Hang Ren, Kang Xue

Published Jan 20, 2011• 4 citations
Publisher
DOI
10.1007/s11128-010-0221-y

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I explore entanglement dynamics in a three qubit system comparing the ability of entanglement witnesses to detect tripartite entanglement to the phenomenon of entanglement sudden death (ESD). Using a system subject to dephasing I invoke entanglement witnesses to detect tripartite Greenberger-Horne-Zeilinger (GHZ)-type and WWW-type entanglement and compare the evolution of their detection capabilities with the evolution of the negativity, bipartite concurrence, and tripartite negativity. Interestingly, I find a state in which there is no concurrence or tripartite negativity but there is entanglement. Finally, I utilize a three qubit quantum error correction code to address how ESD affects the abilities of quantum error correction.
Almost a decade ago, physicists encountered a strange quantum phenomenon that predicts an unusual death of entanglement, under the influence of a local noisy environment, known as entanglement sudden death (ESD). This could be an immediate stumbling block in realizing all entanglement based quantum information and computation protocols. In this paper, we propose a scheme to tackle such shortcomings by exploiting the phenomenon of exceptional points. Starting with a binary mechanical PT\mathcal{PT}PT symmetric system, realized over an optomechanical platform, we show that a substantial delay in ESD can be achieved via pushing the system towards an exceptional point. This finding has been further extended to a higher-order (third-order) exceptional point by taking a more complicated tripartite entanglement into account.