Yong Wook Cheong, Seung-Woo Lee
We derive a tight bound between the quality of estimating quantum state by measurement and the success probability of undoing the measurement in arbitrary dimensional systems, which completely describes the trade-off relation between the information gain and reversibility. In this formulation, it is clearly shown that the information extracted from a weak measurement is erased through the reversing process. Our result broadens the information-theoretic perspective on quantum measurement as well as provides a standard tool to characterize weak measurements and reversals.
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http://arxiv.org/abs/1203.4909
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