Abstract Recently, Hastings & Haah introduced a quantum memory defined on the
honeycomb lattice. Remarkably, this honeycomb code assembles weight-six parity checks …

Continuous quantum error correction has been found to have certain advantages over
discrete quantum error correction, such as a reduction in hardware resources and the …

Multiqubit parity measurements are essential to quantum error correction. Current
realizations of these measurements often rely on ancilla qubits, a method that is sensitive to …

We investigate quantum error correction using continuous parity measurements to correct bit-
flip errors with the three-qubit code. Continuous monitoring of errors brings the benefit of a …

The standard quantum formalism introduced at the undergraduate level treats measurement
as an instantaneous collapse. In reality however, no physical process can occur over a truly …

We consider a general open system dynamics and we provide a recursive method to derive
the associated non-Markovian master equation in a perturbative series. The approach relies …

We consider the direct three-qubit parity measurement scheme with two measurement
resonators, using circuit quantum electrodynamics to analyze its functioning for several …

We consider a microscopic collision model, ie, a quantum system interacts with a
hierarchical environment consisting of an auxiliary system and a reservoir. We show how the …

The Lindblad form of the master equation has proven to be one of the most convenient ways
to describe the impact of an environment interacting with a quantum system of interest. For …

Eigenstate-preserving multi-qubit parity measurements lie at the heart of stabilizer quantum
error correction, which is a promising approach to mitigate the problem of decoherence in …