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.
arXiv comment4 pages, 1 figure
References in corpus (29)
- Quantum entanglement
- Quantum Computing in the NISQ era and beyond
- Separability Criterion for Density Matrices
- Area laws for the entanglement entropy - a review
- Entanglement detection
- Quantum computational advantage using photons
- Separability criterion and inseparable mixed states with positive partial transposition
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Strong quantum computational advantage using a superconducting quantum processor
- Probing entanglement entropy via randomized measurements
- Entanglement negativity in quantum field theory
- Phase-Programmable Gaussian Boson Sampling Using Stimulated Squeezed Light
- Entanglement Certification From Theory to Experiment
- Taming multiparticle entanglement
- Further results on the cross norm criterion for separability
- Mixed-state entanglement from local randomized measurements
- Quantum walks on a programmable two-dimensional 62-qubit superconducting processor
- Computing quantum discord is NP-complete
- Statistical correlations between locally randomized measurements: a toolbox for probing entanglement in many-body quantum states
- Machine Learning Assisted Many-Body Entanglement Measurement
- The generalized partial transposition criterion for separability of multipartite quantum states
- Single-copies estimation of entanglement negativity
- Unifying several separability conditions using the covariance matrix criterion
- Entanglement detection beyond the cross-norm or realignment criterion
- Optimal Entanglement Certification from Moments of the Partial Transpose
- Characterizing multipartite entanglement with moments of random correlations
- Bound entanglement from randomized measurements
- Multipartite Entanglement Analysis From Random Correlations
- Characterizing correlation within multipartite quantum systems via local randomized measurements
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- 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