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International Journal of Theoretical Physics

, Volume 57, Issue 5, pp 1272–1284 | Cite as

Algebraic Method in the Analysis of Decoherence-Free Subspaces in Open Quantum Systems

  • Takeo Kamizawa
Article
  • 65 Downloads

Abstract

In open quantum systems, a subspace which is not affected by the environmental noise is called a decoherence-free subspace. Such a subspace plays an important role in applications such as quantum information transmissions. In the literature, several “definitions” of decoherence-free subspaces were proposed, but they are model-dependent and slightly different. In this paper, we will study a general framework of decoherence-free subspaces and provide a criterion for the existence of a decoherence-free subspace in open quantum systems.

Keywords

Open quantum systems Decoherence-free subspace Generalised shemesh criterion Common reducing subspace 

Notes

Acknowledgments

This research is a part of the author’s PhD research, which was supported by Japan Student Services Organisation. The author would like to express his gratitude to Prof. Andrzej Jamiołkowski for valuable advices on this research.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Physics, Astronomy and InformaticsNicolaus Copernicus UniversityToruńPoland

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