Gain insights into quantum computing, starting with qubits and quantum mechanics. Discover quantum gates, circuits, and algorithms like Grover’s search and Shor’s factoring. Explore potential applications.

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Quantum Computing

Jupyter Notebook

Firms like IBM, Honeywell, Zapata, Rigetti, Amazon, Google, IonQ, and others are all adopting and investing heavily in quantum computing. This is a great opportunity to get involved.

In this course, you will learn the fundamentals of quantum computing, starting with quantum bits or qubits. These are the centerpiece and most basic computational unit. 

You will then move on to quantum mechanics and the role of quantum gates, circuits, and simulating computers. From there, you will get acquainted with the many different quantum algorithms that are asymptotically faster than their classical counterparts. These include: Deutsch Jozsa, Grover’s search, and Shor’s factoring.

By the end of this course, you will have the foundations in place to start exploring more applications of quantum computing. This is just the beginning!

The Fundamentals of Quantum Computing

## Single qubit states

Classical bits, represented by low and high voltages in a transistor, are represented using two numbers, **0** and **1**. Quantum states are different. Instead of numbers, quantum states are represented by **vectors**. As you would recall, vectors have both **magnitude** and **direction** in space associated with them. More specifically, a quantum state is a vector in two-dimensional vector space. We will refer to this two-dimensional vector space as the **state-space** of a single qubit.



# Single qubit states

Classical bits, represented by low and high voltages in a transistor, are represented using two numbers, **0** and **1**. Quantum states are different. Instead of numbers, quantum states are represented by **vectors**. As you would recall, vectors have both **magnitude** and **direction** in space associated with them. More specifically, a quantum state is a vector in two-dimensional vector space. We will refer to this two-dimensional vector space as the **state-space** of a single qubit.



Until now, we have talked about quantum states informally. Sno, now let's talk about the quantum state formally and how we can represent it mathematically.

Baby Steps

The Essence of Quantum Mechanics

Quantum Gates and Circuits

Simulating Quantum Computers

Getting Started with Quantum Algorithms

The Deutsch-Jozsa Algorithm

Grover's Search Algorithm

Shor's Factoring Algorithm

The Future

Quantum States

Single qubit states