This work is concerned with determination of the steady-state structure of time-independent
Lindblad master equations, especially those possessing more than one steady state. The …

Autonomous quantum error correction (AQEC) protects logical qubits by engineered
dissipation and thus circumvents the necessity of frequent, error-prone measurement …

We introduce a driven-dissipative two-mode bosonic system whose reservoir causes
simultaneous loss of two photons in each mode and whose steady states are superpositions …

Markovian master equations, often called Liouvillians or Lindbladians, are used to describe
decay and decoherence of a quantum system induced by that system's environment. While a …

Quantum memories are essential for quantum information processing and long-distance
quantum communication. The field has recently seen a lot of progress, and the present focus …

Quantum error correction (QEC) is a crucial step towards long coherence times required for
efficient quantum information processing. One major challenge in this direction concerns the …

In this thesis, we develop several tools in the direction of autonomous Quantum Error
Correction (QEC) with superconducting qubits. We design an autonomous QEC scheme …

We formalize the problem of dissipative quantum encoding, and explore the advantages of
using Markovian evolution to prepare a quantum code in the desired logical space, with …

Broadly speaking, this thesis is about nonlinear optics, quantum mechanics, and computing.
More specifically, it covers four topics: Coherent LQG Control, Free-Carrier Oscillations …

The control of quantum dynamics in which feedback is accomplished via coherent, all-
optical signal processing suggests the possibility of mature, engineered quantum systems …