This chapter describes the problem of quantum error propagation and illustrates the need for quantum error correction. Quantum error propagation is easily illustrated by applying the identity gate multiple times and noting that eventually the measurement is not as expected. The reader is given examples of how to do this. Next, an overview of quantum error correction (QEC) is given, and finally, the chapter provides an implementation of a simple QEC algorithm.
In this chapter, we will cover the following topics:
- Quantum errors
- Quantum error correction