Quantum Computing and Quantum Simulations: Where do We Stand?
December 10th, 2019 MACIEJ LEWENSTEIN Quantum Optics Theory
ICFO-The Institute of Photonic Sciences

Part 0: Quantum computing: Where do we stand?

I will present and explain the concept of quantum universal computer. I will discuss challenges facing digital approaches to quantum computation. I will discuss what problems could be solved with quantum computing and what is possible here and now. I will present various platforms/models of quantum computing.

Part 1A: Quantum simulations: Where do we stand?

I will present and explain the concept of quantum simulators and quantum annealers. I will discuss analog versus digital approaches to quantum simulation. I will ask what do we want to/can we simulate? I will present various platforms/models of quantum simulations.

Part 1B: Quantum simulations: Platforms

I will continue with various platforms for quantum simulators, and then present some examples of the recent achievements of quantum simulations, focusing on experiments in optical lattices.

Part 1C: Quantum simulations and Machine Learning

I will explain basic concepts of classical and quantum machine learning and neural networks, and discuss recent applications of machine learning to quantum many body physics in general, and quantum simulators in particular.

Part 2A: Quantum simulations of synthetic gauge fields

I discuss possibilities of quantum simulations of many body systems in synthetic gauge fields, and discuss methods of achieving this with ultracold atoms. I will briefly discuss attempts to quantum simulate lattice gauge theories.

Part 2B: Quantum simulations in dynamical optical lattices

I will discuss quantum simulators of dynamical optical lattices. For fermions these models describe the, so called, fluctuating bonds superconductivity, while for bosons the, so-called, Z2 Bose-Hubbard models. I will focus on discussion of bosonic Peierls mechanism and appearance of topological order. Part 3A: Entanglement and quantum correlations in quantum many body systems

I will present introduction to the theory of entanglement and quantum correlations, focusing on Bell correlations, and non-locality in many body systems. Part 3B: Validation and certifications of quantum simulators

I will discuss possible methods of experimental detection of entanglement and Bell correlations in systems of ultracold atoms in optical lattices.

Tuesdays, November 12, 19, 26; December 3 and 10; 2019, 10:15. ICFO’s Blue Lecture Room