BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Frank Pollmann (TUM) DTSTART:20220516T070000Z DTEND:20220516T080000Z DTSTAMP:20260423T040106Z UID:NMTP2022/3 DESCRIPTION:Title: Exploring Quantum Phases of Matter on Quantum Processors\nby Frank Po llmann (TUM) as part of Numerical Methods in Theoretical Physics\n\n\nAbst ract\nThe interplay of quantum fluctuations and interactions can yield nov el quantum phases of matter with fascinating properties. Particularly exci ting physics is at play when confining systems to two spatial dimensions. For this case it has been predicted that exotic quantum particles emerge —so-called “anyons”— that cannot exist in the three-dimensional wo rld we live in. Understanding the physics of such system is a very challen ging problem as it requires to solve quantum many body problems—which is generically exponentially hard on classical computers.\n\nIn this context \, universal quantum computers are potentially an ideal setting for simula ting the emergent quantum many-body physics. In my talk\, I will discuss h ow to use existing (noisy) quantum computers to simulate quantum phases of matter. First\, I will consider symmetry protected topological phases (S PT) in one-dimensional systems. For this case\, ground states of Hamiltoni ans can be obtained using shallow quantum circuits and we can observe a qu antum phase transition between different SPT phases on a quantum device. S econd\, we prepare the ground state of the toric code Hamiltonian in two-d imensions 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 charact eristic braiding statistics of the emergent excitations.\n LOCATION:https://researchseminars.org/talk/NMTP2022/3/ END:VEVENT END:VCALENDAR