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

# Qiskit

This is `Qiskit's` code for **Shor's Algorithm**. In this example, we factorize $N=15$ with $k=8$ **counting qubits**. Remember that we need roughly $2n$ qubits for obtaining a good accuracy, where $n$ is the number of bits needed to represent $N$. Also, notice the implementation of $QFT^\dagger$ that allows us to reconstruct the period $r$ of the function by transferring the phase information into our qubits for measurement. You can find further details at the `Qiskit Textbook` [here](https://qiskit.org/textbook/ch-algorithms/shor.html#1.-The-Problem:-Period-Finding). The code below uses **exponentially** many gates to apply the $UROT$ operations. The **polynomial**-gates implementation is given in the references section of `Qiskit` on the link provided earlier.

 Let’s discuss the code for Shor's Algorithm and use it to factor the number 15.

Coding Shor's Algorithm

Let’s discuss the code for Shor's Algorithm and use it to factor the number 15.

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

Coding Shor's Algorithm

Qiskit