University of Southern California (USC)

## Talks by Bilal Shaw

## Encoding One Logical Qubit Into Six Physical Qubits

Bilal Shaw
University of Southern California (USC)

We discuss two methods to encode one qubit into six physical qubits. Each of our two examples corrects an arbitrary single-qubit error. Our first example is a degenerate six-qubit quantum error-correcting code. We explicitly provide the stabilizer generators, encoding circuits, codewords, logical Pauli operators, and logical CNOT operator for this code. We also show how to convert this code into a non-trivial subsystem code that saturates the subsystem Singleton bound.