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Non-Gaussian Entangled States and Entangled Orthonormal Basis

Source: J. Phys. Soc. Jpn. 79, 013001 (2010); doi:10.1143/JPSJ.79.013001

Issue Date: February 2010

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Ryo Namiki
Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan
We provide a family of non-Gaussian pure entangled states in a bipartite system as the eigenstates of a quadratic Hamiltonian composed of Einstein–Podolsky–Rosen-like operators. The ground state of the Hamiltonian corresponds to the two-mode-squeezed vacuum and belongs to the Gaussian states. In contrast, all of the excited states are non-Gaussian states. A separable inequality maximally violated by the eigenstates is derived. ©2010

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