21 videos, which cover subjects including the basic model of quantum computing, entanglement, superdense coding, and quantum teleportation.

To work through the videos you need to be comfortable with basic linear algebra, and with assimilating new mathematical terminology. If you’re not, working through the videos will be arduous at best! Apart from that background, the main prerequisite is determination, and the willingness to work more than once over material you don’t fully understand.

In particular, you don’t need a background in quantum mechanics to follow the videos.

The videos are short, from 5-15 minutes, and each video focuses on explaining one main concept from quantum mechanics or quantum computing. In taking this approach I was inspired by the excellent Khan Academy.

Link: michaelnielsen.org/blog/quantum-computing-for-the-determined/

Author: Michael Nielsen

The basics

• The qubit
• Tips for working with qubits
• Our first quantum gate: the quantum NOT gate
• The Hadamard gate
• Measuring a qubit
• General single-qubit gates
• Why unitaries are the only matrices which preserve length
• Examples of single-qubit quantum gates
• The controlled-NOT gate
• Universal quantum computation

Superdense coding

• Superdense coding: how to send two bits using one qubit
• Preparing the Bell state
• What’s so special about entangled states anyway?
• Distinguishing quantum states
• Superdense coding redux: putting it all together

Quantum teleportation

• Partial measurements
• Partial measurements in an arbitrary basis
• Quantum teleportation
• Quantum teleportation: discussion

The postulates of quantum mechanics (TBC)

• The postulates of quantum mechanics I: states and state space
• The postulates of quantum mechanics II: dynamics
• The postulates of quantum mechanics III: measurement