Description
In this talk, I will present an overview of recent research developments from my group, covering three main directions: classical simulation of quantum computers, the resource theory of quantum computation, and the protection of quantum information using bosonic codes.
A key challenge in the development of quantum computing architectures is the design of classical algorithms capable of reliably simulating quantum computations. Although such simulations are generally inefficient, they provide essential benchmarks for validating experimental platforms. I will discuss our latest work on classical simulation techniques for both discrete- and continuous-variable quantum systems, highlighting how the computational complexity of these simulations correlates with the resource content of the underlying quantum circuits, as quantified by suitable resource monotones.
In the last part of the talk, I will shift focus to quantum error correction in continuous-variable systems. Specifically, I will describe our recent advances in encoding quantum information using bosonic codes. I will compare the performance of codes with rotational and translational symmetries under realistic conditions, and analyse their behaviour in the presence of relevant noise models such as photon losses and dephasing, and possible non-Markovian effects. Finally, I will outline a new construction of multimode bosonic codes with rotational symmetry, demonstrating how they can achieve enhanced protection of quantum information.
