Research

Research Fields/Interests

  • Quantum Shannon Theory
  • Entanglement Theory and Quantum Correlations
  • Zero-error Information Theory
  • Quantum Networks
  • Quantum Computation

My publications can be found on Google Scholar or arXiv.

Quantum Shannon Theory

Quantum Shannon theory is the study of the ultimate performance of communication with quantum systems. One of my primary topics is to characterize the communication capabilities of quantum channels under both finite blocklength and asymptotic regime. The asymptotic regime focuses on the ultimate limits of communication, while the finite blocklength regime focuses on a more practical scenario of optimizing the trade-off between the channel uses, communication rate, and error probability. For example, I want to understand the fundamental limits for classical and quantum communication via quantum channels:

Entanglement Theory and Quantum Correlations

Quantum entanglement is a key ingredient in many quantum information processing tasks, including teleportation, superdense coding, and quantum cryptography. The concept of entanglement as a resource in quantum information theory motivates us to study how to detect, quantify, manipulate and use entanglement. Good examples of my results in this area are as follows:

Zero-error Information Theory

While the ordinary Shannon theory studies the communication with asymptotically vanishing errors, Shannon also investigated the information theory when errors are required to be strictly zero, which is known as the zero-error information theory.  In this area, the communication problem reduces to the study of the so-called confusability graph (non-commutative graph) of a classical channel (quantum channel). A good example of my research in this area is proving the separation between the quantum Lovász number and entanglement-assisted zero-error capacity:

(My detailed research statement is available upon request.)