Stabilization of Cat-State Manifolds Using Nonlinear Reservoir Engineering

Explore a groundbreaking lecture on reservoir engineering for quantum systems, focusing on a novel approach to stabilizing multi-component Schrödinger's cat states. Delve into the fundamental principle of destructive interference at crossings of gain and loss Hamiltonian terms in oscillator-auxiliary system coupling. Examine how gain and loss term characteristics influence rotational symmetry, energy distributions, and degeneracy of stabilized manifolds, as well as their robustness as bosonic codes. Discover example implementations using anharmonic laser-ion coupling in trapped ions and nonlinear superconducting circuits. Learn about the extension of this formalism to stabilize bosonic codes related to cat states through unitary transformations, such as quadrature-squeezed cats. Gain insights from the speaker's research, referencing the arXiv preprint 2407.18087 (2024) by Rojkov, Simoni, Zapusek, Reiter, and Home.