Quantum Fault Tolerance

All Mixed Up

All about density operators.

Operations with Mixed States

Build quantum circuits with mixed states.

Trace It and Forget It

Use density matrices to represent subsystems.

Metrics and Distance

Calculate the distance between probability distributions.

Measuring Similarity

Use the Battacharyya coefficient to compare probability distributions.

The Trace Distance

Measure the distance between quantum states.

Fidelity

Calculate how close two quantum states are.

Got Errors?

Review the foundations of classical error correction.

No Flip-Flopping Allowed!

Use quantum protocols to mitigate phase and bit flip errors.

Are You Shor This Works?

Correct errors using Shor's code.