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 ρρ=Λ(ρ)=Nk=1AkρAk, with operators Ak satisfying following conditions: Nk=1AkAk=I Ak=Kl=1Ak,l

LOCC operations are subclass of separable operations.

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

References

  • 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

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Friday, July 7, 2017 - 21:09