A matrix realignment method for recognizing entanglement

By Kai Chen, Ling-An Wu. Quantum information & computation, 2002

432 citations recorded by the source corpus.

Motivated by the Kronecker product approximation technique, we have developed a very simple method to assess the inseparability of bipartite quantum systems, which is based on a realigned matrix constructed from the density matrix. For any separable state, the sum of the singular values of the matrix should be less than or equal to 1. This condition provides a very simple, computable necessary criterion for separability, and shows powerful ability to identify most bound entangled states discussed in the literature. As a byproduct of the criterion, we give an estimate for the degree of entanglement of the quantum state.

Subfields: Experimental and Cognitive Psychology

View Paper: https://www.semanticscholar.org/paper/be1898b75013400579363d34c6af369e1e8af867

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In Experimental and Cognitive Psychology

1. Mehul Malik
2. Ingemar Bengtsson
3. Karol Zyczkowski
4. Giuseppe Vitagliano
5. Marcus Huber
6. Nicolai Friis

Citations in the corpus

• Geometry of Quantum States: Index (2007, methodology): “This criterion was formulated in [460] based on earlier papers [780, 206].”
• Entanglement certification from theory to experiment (2018, methodology): “A prominent example of the above method is the so called computable cross-norm or realignment (CCNR) criterion [89–92].”
• Entanglement detection (2008, background): “Here, we want to explain the computable cross norm or realignment criterion (CCNR criterion) [54,55], since it is simple and strong.”