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Generating Bell states in invariant stratification spin networks

Ghojavand, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1088/1742-5468/2010/12/P12023
  3. Abstract:
  4. In this paper, we study the generation of Bell states between distant vertices in a permanently coupled quantum spin network, interacting via invariant stratification graphs. To begin with we establish a class of upper bounds over the achievable entanglement between the reference site and various vertices. We observe that the maximum of these upper bounds is one e-bit. We conclude that the reference site can generate a Bell state with a vertex if the corresponding upper bound of the vertex is one e-bit. Thus for generation of a Bell state this upper bound must be saturated. Taking this into account, we obtain the characteristic constraint of the proper graphs. We introduce a special class of antipodal invariant stratification graphs, which is called reflective, whereas the antipode vertex obeys the characteristic constraint. We also show that the antipodal association scheme graphs are reflective so Bell states can be generated between the antipodal vertices. Moreover, we observe that in such graphs the proper Hamiltonian that enables the creation of a Bell state is the Heisenberg interaction between vertex pairs
  5. Keywords:
  6. Entanglement in extended quantum systems (theory) ; Integrable spin chains (vertex models) ; Optimization over networks ; Quantum transport
  7. Source: Journal of Statistical Mechanics: Theory and Experiment ; Volume 2010, Issue 12 , 2010 ; 17425468 (ISSN)
  8. URL: http://iopscience.iop.org/article/10.1088/1742-5468/2010/12/P12023