Solution of the Lindblad equation in the Kraus representation

H. Nakazato, Y. Hida, K. Yuasa, B. Militello, A. Napoli, and A. Messina
Phys. Rev. A 74, 062113 – Published 28 December 2006

Abstract

The so-called Lindblad equation, a typical master equation describing the dissipative quantum dynamics, is shown to be solvable for finite-level systems in a compact form without resort to writing it down as a set of equations among matrix elements. The solution is then naturally given in an operator form, known as the Kraus representation. Following a few simple examples, the general applicability of the method is clarified.

  • Received 23 June 2006

DOI:https://doi.org/10.1103/PhysRevA.74.062113

©2006 American Physical Society

Authors & Affiliations

H. Nakazato1,*, Y. Hida1, K. Yuasa2,†, B. Militello3, A. Napoli3, and A. Messina3

  • 1Department of Physics, Waseda University, Tokyo 169-8555, Japan
  • 2Research Center for Information Security, National Institute of Advanced Industrial Science and Technology (AIST), 1-18-13 Sotokanda, Chiyoda-ku, Tokyo 101-0021, Japan
  • 3MIUR and Dipartimento di Scienze Fisiche ed Astronomiche dell’Università di Palermo, Via Archirafi 36, I-90123 Palermo, Italy

  • *Electronic mail: hiromici@waseda.jp
  • Electronic mail: kazuya.yuasa@aist.go.jp

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Issue

Vol. 74, Iss. 6 — December 2006

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