Quantum information and statistical mechanics: an introduction to frontier

Understand

This is a short review on an interdisciplinary field of quantum information science and statistical mechanics.

• We first give a pedagogical introduction to the stabilizer formalism, which is an efficient way to describe an important class of quantum states, the so-called stabilizer states, and quantum operations on them.
• Furthermore, graph states, which are a class of stabilizer states associated with graphs, and their applications for measurement-based quantum computation are also mentioned.
• Based on the stabilizer formalism, we review two interdisciplinary topics.