Dynamically Generated Logical Qubits

Quantum 5, 564 (2021).

https://doi.org/10.22331/q-2021-10-19-564

We present a quantum error correcting code with $textit{dynamically generated logical qubits}$. When viewed as a subsystem code, the code has no logical qubits. Nevertheless, our measurement patterns generate logical qubits, allowing the code to act as a fault-tolerant quantum memory. Our particular code gives a model very similar to the two-dimensional toric code, but each measurement is a $two$-qubit Pauli measurement.