Dynamically Generated Logical Qubits

TL;DR

This paper introduces a quantum error correcting code that dynamically generates logical qubits through measurement patterns, enabling fault-tolerant quantum memory with a structure akin to the 2D toric code but using only two-qubit Pauli measurements.

Contribution

The paper proposes a novel quantum error correcting code with dynamically generated logical qubits, differing from traditional static codes.

Findings

The code functions as a fault-tolerant quantum memory.

It employs only two-qubit Pauli measurements.

The structure resembles the 2D toric code.

Abstract

We present a quantum error correcting code with 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.