Classification of multipartite entanglement in $2\times{M}\times{N}$ quantum system: range criterion and a systematic method
Year: 2005
Type: preprint
Abstract: We develop a range criterion which is a sufficient and necessary condition satisfied between two states transformable to each other under reversible stochastic local operations assisted by classical communication (SLOCC). Based on this criterion, we can effectively discriminate any two states in $2\\times{M}\\times{N}$ quantum system and we propose a systematic method for seeking all kinds of states in any true $2\\times{M}\\times{N}$ system. This method can greatly reduce the influence of parameters and it shows the potentially regular structure of inequivalent classes. The classification in $2\\times3\\times{N}$ system is explicitly described.
Source: arXiv (Cornell University)
Authors: Lin Chen, Yixin Chen
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1472771996