Separable operations

In quantum information theory, separable operations on a general multipartite quantum state is an operations with product Kraus operators.

Abstract mathematical definition for the case of K-partite quantum state ρ can be formulated as

ρ ↦ ρ′ = Λ(ρ) = ∑k = 1NAkρAk † , with operators Ak satisfying followimg conditions:

k = 1NAk † Ak = I

Ak =  ⊗ l = 1KAkl

LOCC operations are subclass of separable operations.

Separable operations play a big role in state distinguishability and state discrimination.


  • V. Gheorghiu, R. B. Griffiths, Phys. Rev. A 78, 020304 (R) (2008)
  • V. Gheorghiu, R. B. Griffiths, Phys. Rev. A 76, 032310 (2007)
  • R. Duan, Y. Feng, Y. Xin, M. Ying, arXiv:0705.0795 [quant-ph]

Category:Handbook of Quantum Information

Last modified: 
Monday, October 26, 2015 - 17:56