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

We've seen our first practical quantum algorithm in-depth throughout this chapter. However, you might be thinking that that algorithm might not be that useful in itself, and you wouldn't be wrong in thinking so. But in it lies an immensely powerful technique.

The **Deutsch-Jozsa algorithm** teaches us that we can exploit the power of superposition using oracles. Since its inception, other algorithms using the same intuition have cropped. The **Bernstein-Vazirani Algorithm** can guess a bit-string in $O(1)$ using a very similar approach. There's also **Simon's Algorithm**, which asks a similar question to the Deutsch-Jozsa Algorithm, that is, given a function $f$, how can we efficiently determine if $f$ is **one-to-one** or **two-to-one**? Again, the solution, as you would expect, is along the same lines as that for the DJ algorithm with comparable time complexity.



Let’s summarize the technique we have learned in the Deutsch-Jozsa algorithm and hint at other algorithms that utilize it to achieve better time complexities than their classical counterparts.

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

Key Takeaway - DJ