Detection of tripartite entanglement based on principal basis matrix representations
arXiv:2202.06176 · doi:10.1088/1612-202X/ac50af
Abstract
We study the entanglement in tripartite quantum systems by using the principal basis matrix representations of density matrices. Using the Schmidt decomposition and local unitary transformation, we first convert the general states to simpler forms and then construct some special matrices from the correlation tensors of the simplified density matrices. Based on the different linear combinations of these matrices, necessary conditions are presented to detect entanglement of tripartite states. Detailed examples show that our method can detect more entangled states than previous ones.
References in corpus (18)
- Three qubits can be entangled in two inequivalent ways
- Fisher information and multiparticle entanglement
- Classification of mixed three-qubit states
- Multipartite entanglement and high precision metrology
- Detecting Genuine Multipartite Entanglement with Two Local Measurements
- On the permutationally invariant part of a density matrix and nonseparability of N-qubit states
- Detection of genuinely entangled and non-separable -partite quantum states
- Efficient -separability criteria for mixed multipartite quantum states
- Measure and detection of genuine multipartite entanglement for tripartite systems
- Detection of -partite entanglement and -nonseparability of multipartite quantum states
- Objective Compressive Quantum Process Tomography
- Improved Separability Criteria Based on Bloch Representation of Density Matrices
- Detection of multipartite entanglement via quantum Fisher information
- Separability criteria via some classes of measurements
- An Upper Bound of Fully Entangled Fraction of Mixed States
- Quantum Fisher information-based detection of genuine tripartite entanglement
- Local unitary equivalence of quantum states and simultaneous orthogonal equivalence
- Generalized Bell states and principal realization of the Yangian Y(sl_N)