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Brazilian Journal of Physics

, Volume 47, Issue 3, pp 339–349 | Cite as

Generalized Kraus Operators for the One-Qubit Depolarizing Quantum Channel

  • M. Arsenijević
  • J. Jeknić-Dugić
  • M. Dugić
General and Applied Physics

Abstract

Microscopic Hamiltonian models of the composite system “open system + environment” typically do not provide the operator-sum Kraus form of the open system’s dynamical map. With the use of a recently developed method (Andersson et al. J. Mod. Opt. 54, 1695 2007), we derive the Kraus operators starting from the microscopic Hamiltonian model, i.e., from the proper master equation, of the one-qubit depolarizing channel. Those Kraus operators generalize the standard counterparts, which are widely used in the literature. Comparison of the standard and the here obtained Kraus operators is performed via investigating dynamical change of the Bloch sphere volume, entropy production, and the open system’s state trace distance. We compare the generalized with the standard Kraus operators for both single qubit and regarding the occurrence of the entanglement sudden death for a pair of initially correlated qubits. We find that the generalized Kraus operators describe the less deteriorating quantum channel than the standard ones.

Keywords

Open quantum systems Kraus operator-sum decomposition Qubit operations 

Notes

Acknowledgments

The work on this paper is financially supported by the Ministry of Science Serbia under contract no 171028 and in part for MD by the ICTPSEENET-MTP grant PRJ-09 “Strings and Cosmology” in frame of the SEENET-MTP Network.

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Copyright information

© Sociedade Brasileira de Física 2017

Authors and Affiliations

  1. 1.Faculty of ScienceUniversity of KragujevacKragujevacSerbia
  2. 2.Department of Physics, Faculty of Science and MathematicsUniversity of NišNišSerbia

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