Information is physical. The power and limitation of information processing is eventually determined by the laws of physics. The cross fertilization of quantum mechanics and information theory has revolutionized the way information is perceived and processed. On the one hand, quantum mechanics imposes stringent constraints on our ability to acquire information, say, of complementary observables. On the other hand, it allows us to realize many tasks much more efficiently than possible in the classical world, such as quantum computation, communications, and cryptography. Conversely, information theoretical ideas have played important roles in understanding basic principles of quantum physics.
I am interested in better understanding the distinctive features of quantum information processing as compared with its classical counterpart and in harnessing the power offered by quantum mechanics. I am also interested in the connections between quantum information processing and the geometry of the quantum state space, as well as basic principles of quantum mechanics, such as complementarity principle.
To be specific, my current research work focuses on the following topics:
Quantum measurement theory and quantum state estimation.
Applications of information theoretic ideas to the study of quantum foundations.
Geometry of quantum states, with focus on symmetric informationally complete measurements (SICs) and mutually unbiased bases (MUB).
Multipartite entanglement and its applications.