# Entanglement detection beyond the CCNR criterion for infinite-dimensions

@article{Guo2013EntanglementDB, title={Entanglement detection beyond the CCNR criterion for infinite-dimensions}, author={Yu Guo and Jinchuan Hou}, journal={Chinese Science Bulletin}, year={2013}, volume={58}, pages={1250-1255} }

In terms of the relation between the state and its reduced states, we obtain two inequalities which are valid for all separable states in infinite-dimensional bipartite quantum systems. One of them provides an entanglement criterion which is strictly stronger than the computable cross-norm or realignment (CCNR) criterion.

## 8 Citations

Bound Entanglement for Bipartite and Tripartite Quantum Systems

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We construct bound entangled states in bipartite systems and tripartite systems. A class of bound entangled states in 3k⊗3k quantum systems is constructed. Moreover, we construct a class of entangled…

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The positive partial transposition (PPT) criterion and the realignment criterion constitute two of the most important criteria for detecting entanglement. The generalized partial transposition (GPT)…

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We present a way to construct indecomposable entanglement witnesses from any permutations π with π2 ≠ id for any finite dimensional bipartite systems. Some new bounded entangled states are also…

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- 2015

The definition of quantum states with strong positive partial transpose (SPPT) in bipartite systems was presented in Phys. Rev. A 77, 022113, 2008 and the separability of super SPPT was studied in J.…

Monogamy of entanglement without inequalities

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We provide a fine-grained definition for monogamous measure of entanglement that does not invoke any particular monogamy relation. Our definition is given in terms an equality, as oppose to…

Concentration and distribution of entanglement based on valley qubits system in graphene

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- 2015

AbstractExploiting the optical excitation selection rules in graphene quantum dots, we investigate theoretically the entanglement generation process and entanglement concentration process of valley…

Indecomposability of entanglement witnesses

- Computer ScienceQuantum Inf. Comput.
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There is no universal EW W so that every entangled state can be detected by W, so constructing as many as possible EWs is important to detect entanglement in states.

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