Title: Correlations: From Classical to Quantum


Speaker: Shunlong Luo

Date: August 14
Time: 10:00 - 11:00
Room: Ballroom B

Chair: Xiaoshan Gao


Abstract: The concept of correlations permeates our world in a profound and ubiquitous way. The gist of science is to classify and quantify correlations, and to reveal relations between different correlations. Correlations are many faceted and constitute basic resources that can be measured, manipulated, and utilized. With the advent of quantum information theory, which concerns the general study of information processing capability of quantum systems and ushers a new vista full of challenging mathematical problems and marvelous physical potentialities, correlations are playing an increasingly instrumental and significant role in the description and exploitation of nature. In this talk, we present an overview of some quantitative and informational aspects of correlations in both classical and quantum regimes, with focus on the interplay between classical and quantum, and their implications for quantum foundations and applications. We discuss classification and quantification of correlations, touch upon various topics such as classical correlations, quantum discord, quantum steering, quantum entanglement, and quantum nonlocality. Coexistence of correlations, including marginal problem and monogamy of correlations, is put in the context of setting fundamental constraints to physical laws, and is linked to Bohr's complementary principle and Heisenberg's uncertainty relations. We speculate that an informational approach to science via correlations may shed light on, and reconcile the tension between, quantum mechanics, which has unprecedented predictive power in microscopic world, and relativity theory, which has equally unprecedented predictive power for cosmological phenomena.

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