## Abstract

The notion of low-noise channels was recently proposed and analysed in detail in order to describe noise-processes driven by the environment (Hotta M, Karasawa T and Ozawa M 2005 Phys. Rev. A 72 052334). An estimation theory of low-noise parameters of channels has also been developed. In this paper, we address the low-noise parameter estimation problem for the N-body extension of the dissipative low-noise channels. We perturbatively calculate the Fisher information of the output states in order to evaluate the lower bound of the mean-square error of the parameter estimation. We show that the maximum of the Fisher information over all input states can be attained by a factorized input state in the leading order of the low-noise parameter. Thus, to achieve optimal estimation, it is not necessary for there to be entanglement of the N subsystems, as long as the true low-noise parameter is sufficiently small and the channel is properly dissipative.

Original language | English |
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Article number | 015 |

Pages (from-to) | 14465-14470 |

Number of pages | 6 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 39 |

Issue number | 46 |

DOIs | |

Publication status | Published - 2006 Nov 17 |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)