• 1
  • 2
  • 5
  • 6
  • 3
  • 4
IPM
30
YEARS OLD

“School of Physic”

Back to Papers Home
Back to Papers of School of Physic

Paper   IPM / Physic / 13860
School of Physics
  Title:   Measurement-induced nonlocality for an arbitrary bipartite state
  Author(s): 
1.  S.Y. Mirafzali
2.  I. Sargolzahi
3.  A. Ahanj
4.  K. Javidan
5.  M. Sarbishaei
  Status:   Published
  Journal: Quantum Information & Computation
  No.:  5-6
  Vol.:  13
  Year:  2013
  Pages:   0479-0489
  Supported by:  IPM
  Abstract:
Measurement-induced nonlocality is a measure of nonlocalty introduced by Luo and Fu [Phys. Rev. Lett 106, 120401 (2011)]. In this paper, we study the problem of evaluation of Measurement-induced nonlocality (MIN) for an arbitrary m×n dimensional bipartite density matrix ρ for the case where one of its reduced density matrix, ρa, is degenerate (the nondegenerate case was explained in the preceding reference). Suppose that, in general, ρa has d degenerate subspaces with dimension mi (mim, i=1, 2, ..., d). We show that according to the degeneracy of ρa, if we expand ρ in a suitable basis, the evaluation of MIN for an m×n dimensional state ρ, is degraded to finding the MIN in the mi×n dimensional subspaces of state ρ. This method can reduce the calculations in the evaluation of MIN. Moreover, for an arbitrary m×n state ρ for which mi ≤ 2, our method leads to the exact value of the MIN. Also, we obtain an upper bound for MIN which can improve the ones introduced in the above mentioned reference. In the final, we explain the evaluation of MIN for 3×n dimensional states in details.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right