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arXiv · 2112.06059

Continuous variable graph states: entanglement and graph properties

Kh. P. Gnatenko·V. M. Tkachuk·M. Krasnytska·Yu. Holovatch
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Abstract

We propose the definition of the geometric measure of entanglement for continuous variable states. On the basis of this definition we examine entanglement of the graph states obtained as a result of action of a unitary operator on the ground state of a system of $N$ noninteracting harmonic oscillators. We find that the entanglement of a harmonic oscillator with other ones is defined by the value of its vertex degree.

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Kh. P. Gnatenko, V. M. Tkachuk, M. Krasnytska, Yu. Holovatch. 2021-12-11. Continuous variable graph states: entanglement and graph properties. https://arxiv.org/abs/2112.06059

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