Toward a full software stack for the quantum computing platform
With commercial quantum computers on the rise, the development of a full software stack that will support the quantum computing platform is becoming increasingly important. In this talk, I will provide an overview of several key ingredients of the stack, addressing simulation, circuit optimization, circuit placement, and native gate set. Some future works will be discussed towards the end of the talk. No prior knowledge of the subject is required.
Periodically Driven Quantum Systems
Periodically driven systems (also known as Floquet systems) have seen a lot of recent theoretical and experimental interest. In this talk, I will provide a survey of various examples of Floquet systems. I will start by explaining basic Floquet theory, and describe how to obtain the dynamics of such driven systems. Then I will show how periodic driving can be used to tune a trivial system into a desired topological phase of matter. Finally, I will discuss interacting Floquet phases and the problem of heating in these systems.
Quantum dots and entanglement
In this talk I will introduce some basic principles of semiconductor quantum dots and show how their discrete energy spectrum can be used to generate entangled photon pairs and spin photon entanglement. I will show, how a virtual level and two photon excitation can be used to excite a (single photon) forbidden transition. And if the time allows, I will show how different degrees of freedom can be used simultaneously to generate hyper-entangled photon pairs.