Improved Separability Criteria Based on Bloch Representation of Density Matrices
Shu-Qian Shen, Juan Yu, Ming Li, Shao-Ming Fei
TL;DR
This paper introduces new separability criteria for quantum states using Bloch representation, which are more efficient than previous methods for detecting entanglement in bipartite and multipartite systems.
Contribution
The paper proposes novel separability criteria based on the Bloch representation of density matrices, enhancing entanglement detection efficiency.
Findings
Criteria outperform previous methods in efficiency
Effective for bipartite and multipartite states
Validated through theoretical analysis and examples
Abstract
The correlation matrices or tensors in the Bloch representation of density matrices are encoded with entanglement properties. In this paper, based on the Bloch representation of density matrices, we give some new separability criteria for bipartite and multipartite quantum states. Theoretical analysis and some examples show that the proposed criteria can be more efficient than the previous related criteria.
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