Quantum separability criteria based on realignment moments
arXiv:2209.05066 · doi:10.1007/s11128-022-03630-6
Abstract
Quantum entanglement is the core resource in quantum information processing and quantum computing. It is an significant challenge to effectively characterize the entanglement of quantum states. Recently, elegant separability criterion is presented in [Phys. Rev. Lett. 125, 200501 (2020)] by Elben et al. based on the first three partially transposed (PT) moments of density matrices. Then in [Phys. Rev. Lett. 127, 060504 (2021)] Yu \emph{et al.} proposed two general powerful criteria based on the PT moments. In this paper, based on the realignment operations of matrices we propose entanglement detection criteria in terms of such realignment moments. We show by detailed example that the realignment moments can also be used to identify quantum entanglement.
4 pages, 1 figure
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- Physical realization of realignment criteria using structural physical approximation
- Theoretical proposal for the experimental realization of realignment operation
- Visualization of all two-qubit states via partial-transpose-moments
- A unifying separability criterion based on extended correlation tensor
- Detection of entanglement via moments of positive maps
- Entanglement certification from moments of positive maps
- Separability criteria based on the correlation tensor moments for arbitrary dimensional states