Entanglement detection from channel parameter estimation problem

Abstract

We derive a general criterion to detect entangled states in multi-partite systems based on the symmetric logarithmic derivative quantum Fisher information. This criterion is a direct consequence of the fact that separable states do not improve the accuracy upon estimating one-parameter family of quantum channels. Our result is a generalization of the previously known criterion for one-parameter unitary channel to any one-parameter quantum channel. We discuss several examples to illustrate our criterion. The proposed criterion is extended to the case of open quantum systems and we briefly discuss how to detect entangled states in the presence of decoherence.

10 pages

References in corpus (6)

• Entanglement detection
• Quantum metrology from a quantum information science perspective
• Quantum limits in optical interferometry
• Fisher Information and entanglement of non-Gaussian spin states
• Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
• Depolarizing channel parameter estimation using noisy initial states

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• Two-particle indistinguishability and identification of boson-and-fermion species: a Fisher information approach