Entanglement detection beyond the CCNR criterion for infinite-dimensions
Yu Guo, Jinchuan Hou

TL;DR
This paper introduces two inequalities for infinite-dimensional bipartite quantum systems, one of which offers a stronger entanglement detection criterion than the CCNR criterion, advancing quantum entanglement analysis.
Contribution
The paper presents new inequalities that improve entanglement detection beyond the CCNR criterion in infinite-dimensional systems.
Findings
One inequality provides a strictly stronger entanglement criterion than CCNR.
The inequalities are valid for all separable states in infinite-dimensional bipartite systems.
Enhanced detection of entanglement in complex quantum systems.
Abstract
In this paper, in terms of the relation between the state and the reduced states of it, 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.
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