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arXiv:quant-ph/0605158 · Physical Review Letters

Information-Disturbance Tradeoff in Estimating a Maximally Entangled State

Massimiliano Federico Sacchi

Published Jun 5, 2006• 54 citations
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Abstract

We derive the amount of information retrieved by a quantum measurement in estimating an unknown maximally entangled state, along with the pertaining disturbance on the state itself. The optimal tradeoff between information and disturbance is obtained, and a corresponding optimal measurement is provided.
DOI
10.1103/physrevlett.96.220502

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We address the problem of the information-disturbance tradeoff associated to the estimation of a quantum transformation and show how the extraction of information about a black box causes a perturbation of the corresponding input-output evolution. In the case of a black box performing a unitary transformation, randomly distributed according to the invariant measure, we give a complete solution of the problem, deriving the optimal tradeoff curve and presenting an explicit construction of the optimal quantum network.