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Quantum and Classical Correlations in Quantum Measurement

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Abstract

We revisit quantum measurement when the apparatus is initially in a mixed state. We find that, in a particular restriction setup, the amount of entanglement between the system and the apparatus is given by the entropy increasing of the system under the measurement transformation. We show that the information gained is equal to the amount of entanglement under performing perfect measurement. Based on the perfect measurement, we give an upper bound of quantum discord.

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Acknowledgements

The author thanks two anonymous referees for very helpful suggestions and comments. This work was partly supported by the National Natural Science Foundation of China (Grant Nos. 60873119, 11271237, 11201278 and 11201279) and Fundamental Research Funds for the Central Universities (GK201102024).

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Authors and Affiliations

  1. College of Computer Science, Shaanxi Normal University, Xi’an, 710062, China

    Zhengjun Xi & Yongming Li

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  1. Zhengjun Xi
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  2. Yongming Li
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Correspondence to Zhengjun Xi.

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Xi, Z., Li, Y. Quantum and Classical Correlations in Quantum Measurement. Found Phys 43, 285–293 (2013). https://doi.org/10.1007/s10701-012-9686-0

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  • DOI: https://doi.org/10.1007/s10701-012-9686-0

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