Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 9: Focus Session: Simulating Quantum Many-Body Systems on Noisy Intermediate-Scale Quantum Computers (joint session TT/DY)

DY 9.2: Invited Talk

Monday, March 16, 2020, 15:30–16:00, HSZ 03

Entanglement spectroscopy on the IBM quantum computer — •Titus Neupert — University of Zurich, Zurich, Switzerland

Entanglement properties are routinely used to characterize phases of quantum matter in theoretical computations. For example, the spectrum of the reduced density matrix, or so-called "entanglement spectrum", has become a widely used diagnostic for universal topological properties of quantum phases. However, while being convenient to calculate theoretically, it is notoriously hard to measure in experiments. I will discuss how IBM quantum computers allow the measurement of the entanglement spectrum using various states of one-dimensional spin systems as examples. This way, it is possible to distinguish topological states via their entanglement spectrum from paramagnetic and long-range ordered states. I will also remark on the challenges connected to the simulation of a simple interacting many-body Hamiltonian, such as the Hubbard model, on a NISQC device.