Classification of Bipartite and Tripartite Qutrit Entanglement Under SLOCC
نویسندگان
چکیده
منابع مشابه
Classification of Bipartite and Tripartite Qutrit Entanglement under SLOCC
It is well known that quantum entanglement plays very important roles in quantum information theory. One of the main tasks in quantum information theory is to find out how many different ways multipartite pure states can be entangled. It has been shown that entangled qudits are less affected by noise than entangled qubits [1, 2]. In quantum cryptography it is more secure against evesdropping at...
متن کاملfür Mathematik in den Naturwissenschaften Leipzig Classification of Bipartite and Tripartite Qutrit Entanglement under SLOCC
We classify biqutrit and triqutrit pure states under stochastic local operations and classical communication. By investigating the right singular vector spaces of the coefficient matrices of the states, we obtain explicitly two inequivalent classes of biqutrit states and twelve inequivalent classes of triqutrit states respectively.
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A complete analysis of entangled bipartite qutrit pure states is carried out based on a simple entanglement measure. An analysis of all possible extremally entangled pure bipartite qutrit states is shown to reduce, with the help of SLOCC transformations, to three distinct types. The analysis and the results should be helpful for finding different entanglement types in multipartite pure state sy...
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We consider the separability of various joint states for N qutrits. We derive two results: (i) the separability condition for a two-qutrit state that is a mixture of the maximally mixed state and a maximally entangled state (such a state is a generalization of the Werner state for two qubits); (ii) upper and lower bounds on the size of the neighborhood of separable states surrounding the maxima...
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In this paper, von Neumann entropy is used to study three kinds of bipartite qutrit model, which represent SU(3) strongly correlated model, three-level Lipkin-Meshkov-Glick model, and spin-1 model. The relation between the ground-state entanglement and the quantum phase transition in those models is exhibited and the connection between the entanglement extremes and the symmetries is also discus...
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ژورنال
عنوان ژورنال: Communications in Theoretical Physics
سال: 2008
ISSN: 0253-6102
DOI: 10.1088/0253-6102/50/3/25