A generalization of Schmidt number for multipartite states
arXiv:1304.1950 · doi:10.1142/S0219749915500252
Abstract
The Schmidt number is of crucial importance in characterizing the bipartite pure states. We explore and propose here a generalization of Schmidt number for states in multipartite systems. It is shown to be entanglement monotonic and valid for both pure and mixed states. In addition, the corresponding generalization of multipartite Schmidt coefficients is introduced. Our approach is applicable for systems with arbitrary number of parties and for arbitrary dimensions.
10pages, some minors are corrected
References in corpus (8)
- Entanglement detection
- The structure of multidimensional entanglement in multipartite systems
- Classification of multipartite entanglement in all dimensions
- Analytical characterization of the genuine multiparticle negativity
- Reveal quantum correlation in complementary bases
- Quantum correlation exists in any non-product state
- Classification of arbitrary-dimensional multipartite pure states under stochastic local operations and classical communication using the rank of coefficient matrix
- Quantum correlation induced by the average distance between the reduced states