Trade-off relation between information and disturbance in quantum measurement

Tomohiro Shitara, Yui Kuramochi, Masahito Ueda · Physical Review A · 2016

We formulate a trade-off relation between information and disturbance in quantum measurement from an estimation-theoretic point of view. The information and disturbance are characterized in terms of the classical Fisher information and the average loss of the quantum Fisher information, respectively. We identify the necessary condition for various divergences between two quantum states to satisfy similar relations.

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