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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

## Initialization
Our qubits are initialized to the $|0\rangle$ state and we also have an extra qubit,  **ancilla**, that is initialized to the $|1\rangle$ state using an $X$ gate. The current quantum state of our qubits can be represented as follows:

$$|\psi_0\rangle = |00...0\rangle \otimes|1\rangle= |0\rangle^{\otimes n} \otimes|1\rangle $$

# Initialization
Our qubits are initialized to the $|0\rangle$ state and we also have an extra qubit,  **ancilla**, that is initialized to the $|1\rangle$ state using an $X$ gate. The current quantum state of our qubits can be represented as follows:

$$|\psi_0\rangle = |00...0\rangle \otimes|1\rangle= |0\rangle^{\otimes n} \otimes|1\rangle $$

We'll go through the mathematical proof to understand why the DJ algorithm works in the first place.

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

Time Complexity Analysis - DJ

Initialization