Non-zero total correlation means non-zero quantum correlation |
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| Affiliation: | 1. Department of Mathematics and Computer, Shangrao Normal University, Shangrao 334001, China;2. Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;3. Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada;4. Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada;5. Center for Quantum Technologies, National University of Singapore, Singapore;6. Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | We investigated the super quantum discord based on weak measurements. The super quantum discord is an extension of the standard quantum discord defined by projective measurements and also describes the quantumness of correlations. We provide some equivalent conditions for zero super quantum discord by using quantum discord, classical correlation and mutual information. In particular, we find that the super quantum discord is zero only for product states, which have zero mutual information. This result suggests that non-zero correlations can always be detected using the quantum correlation with weak measurements. As an example, we present the assisted state-discrimination method. |
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| Keywords: | Super discord Weak measurement Optimal state discrimination |
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