[Seminar] Prof. Frank Pollmann "Exploring Quantum Phases of Matter on Quantum Processors"

Speaker

Prof. Frank Pollmann
Technische Universität München

Title

Exploring Quantum Phases of Matter on Quantum Processors

Abstract

The interplay of quantum fluctuations and interactions can yield to novel quantum phases of matter with fascinating properties. Understanding the physics of such system is a very challenging problem as it requires to solve quantum many body problems—which is generically exponentially hard on classical computers. In this context, universal quantum computers are potentially an ideal setting for simulating the emergent quantum many-body physics. Here we discuss two applications to the study of topologically ordered systems: First, we represent the ground states of Hamiltonians using shallow quantum circuits and observe a quantum phase transition between different symmetry-protected topological phases on a quantum device. Moreover, we present results for the realization of the topological Haldane phase with Fermi-Hubbard ladders in an ultracold-atom quantum simulator. Second, we prepare the ground state of the toric code Hamiltonian using an efficient quantum circuit on a superconducting quantum processor. We measure a topological entanglement entropy near the expected value of ln(2), and simulate anyon interferometry to extract the braiding statistics of the emergent excitations. 

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Meeting ID: 951 2683 5197