One-way Quantum Computation

Overview

The creation of a quantum computer is one of the overarching challenges of our times. A quantum computer will open before humanity the solution of many fundamental and applied problems. Scientific groups and IT giants have created prototypes of quantum computers. Today, these devices have limited power, which is not enough even to compete with classic computers. However, modern scientific advances are rapidly approaching the moment of creating a universal working prototype of a quantum computer. Such importance of the quantum computer, as well as its rapid development, allows claiming that any scientist needs to understand the principles of operation and the structure of this device.
In this course, you will explore in detail the one-way quantum computing model. This model is one of the most promising in terms of practical implementation. In addition, you will understand what continuous-variable quantum computation is and how this type of computation differs from the usual computations with qubits. In addition, you will explore in detail the methods of quantum error correction that can be applied to all models of quantum computation. The authors of the course belong to the theoretical quantum-optical school of St. Petersburg, which arose at the dawn of the formation of this science. We work at St. Petersburg State University and are part of the expert community "Quantum Technologies Consortium" of the state support program for NTI centers, which supported the creation of this course.

Syllabus

Quantum Computing: Modern Principles and Models

In this module, you will learn about the general concept of quantum computation. You will learnwhat a qubit is and how to transform it. You will also learn about the existing models of quantumcomputation, which are fundamentally different from each other in the way they are implemented inpractice.

One-way Computation in Discrete Variables

In this module, you will know what a discrete variable cluster state is and how it can be used toperform one-way quantum computation. You will learn how cluster states are generated inexperiments and what difficulties there are in the practical implementation of this computationmodel.

Physical Systems in Continuous Variables

The third module will deal with continuous variable physical systems. You will learn how such systems differ from discrete variable systems. We will also figure out how to organize quantum computing using such systems.

One-way Computation in Continuous Variables

In the fourth module, you will learn about continuous-variable one-way quantum computation. You will understand how to generate cluster states and how to experimentally verify that this state is acluster state and suitable for one-way computation.

Quantum Codes of Error Correction for One-way Computation

In the final module, you will learn about quantum error correction codes. You will know how to build error correction codes that are capable of correcting any quantum computation error. Inaddition, you will learn what GKP states are and how you can correct the quadrature displacementerror using these states.