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DTSTART;TZID=Europe/Berlin:20250410T160000
DTEND;TZID=Europe/Berlin:20250410T160000
DTSTAMP:20260504T053033
CREATED:20250702T133349Z
LAST-MODIFIED:20250702T133349Z
UID:10000042-1744300800-1744300800@www.trr352.de
SUMMARY:Spectral measure for uniform d-regular digraphs
DESCRIPTION:
URL:https://www.trr352.de/event/spectral-measure-for-uniform-d-regular-digraphs/
LOCATION:Room C3N14\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
ORGANIZER;CN="Arka Adhikari":MAILTO:arkaa@umd.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250428T150000
DTEND;TZID=Europe/Berlin:20250428T150000
DTSTAMP:20260504T053033
CREATED:20250701T150125Z
LAST-MODIFIED:20250701T150125Z
UID:10000040-1745852400-1745852400@www.trr352.de
SUMMARY:Phase transition for the late points of random walk
DESCRIPTION:Let X be a simple random walk in Znd with d≥3 and let tcov be the expected time it takes for X to visit all vertices of the torus. In joint work with Prévost and Rodriguez we study the set Lα of points that have not been visited by time αtcov and prove that it exhibits a phase transition: there exists α∗ so that for all α>α∗ and all ϵ>0 there exists a coupling between Lα and two i.i.d. Bernoulli sets B± on the torus with parameters n−(a±ϵ)d with the property that B−⊆Lα⊆B+ with probability tending to 1 as n→∞. When α≤α∗\, we prove that there is no such coupling.
URL:https://www.trr352.de/event/phase-transition-for-the-late-points-of-random-walk/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Talks
ORGANIZER;CN="Prof. Perla Sousi":MAILTO:P.Sousi@statslab.cam.ac.uk
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250428T150000
DTEND;TZID=Europe/Berlin:20250428T150000
DTSTAMP:20260504T053033
CREATED:20250701T150338Z
LAST-MODIFIED:20250701T150338Z
UID:10000041-1745852400-1745852400@www.trr352.de
SUMMARY:Scaling limit of the harmonic crystal with random conductances
DESCRIPTION:In this talk we consider discrete Gaussian free fields with ergodic random conductances on ℤd\, d ≥ 2\, where the conductances are possibly unbounded but satisfy a moment condition. As our main result\, we show that\, for almost every realisation of the environment\, the rescaled field converges in law towards a continuous Gaussian field. We also present a scaling limit for the covariances of the field. To obtain the latter\, we establish a quenched local limit theorem for the Green’s function of the associated random walk among random conductances with Dirichlet boundary conditions. This talk is based on a joint work with Martin Slowik and Anna-Lisa Sokol.
URL:https://www.trr352.de/event/scaling-limit-of-the-harmonic-crystal-with-random-conductances/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Talks
ORGANIZER;CN="Prof. Dr. Sebastian Andres":MAILTO:sebastian.andres@tu-bs.de
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20250428T160000
DTEND;TZID=Europe/Berlin:20250428T160000
DTSTAMP:20260504T053033
CREATED:20250701T145857Z
LAST-MODIFIED:20250701T145857Z
UID:10000039-1745856000-1745856000@www.trr352.de
SUMMARY:Hybrid Continuous-Discrete-Variable Quantum Signal Processing: Algorithms and Applications
DESCRIPTION:Quantum computing with discrete variable (DV\, qubit) hardware is approaching the large scales necessary for computations beyond the reach of classical computers. Separately\, hardware containing native continuous-variable (CV\, oscillator) systems has received attention as an alternative approach\, yet the universal control of such systems is non-trivial. In this talk\, I will highlight novel quantum algorithms\, control protocols\, and applications developed for hybrid CV-DV quantum systems\, which offer powerful new computational paradigms that inherit the strengths of both DV and CV quantum processors. I will start by a pedagogical introduction to CV-DV systems and instruct sets for universal programmability. I will then present a variety of new hybrid CV-DV compilation techniques and algorithms\, including the extension of quantum signal processing to CV-DV systems. This is followed by several applications including state transfer\, quantum sensing\, and simulation of interacting spins and bosons. To facilitate the development of hybrid CV-DV processor systems\, I will also introduce formal Abstract Machine Models and Instruction Set Architectures — essential abstractions that enable developers to formulate applications\, compile algorithms\, and explore the potential of current and future hardware for realizing fault-tolerant circuits\, modules\, and processors. I will conclude the talk with open questions and future opportunities of hybrid CV-DV quantum computation in broader areas of science and engineering.
URL:https://www.trr352.de/event/hybrid-continuous-discrete-variable-quantum-signal-processing-algorithms-and-applications/
LOCATION:Room 5613.EG.008 (Seminarraum)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
ORGANIZER;CN="Dr. Yuan Liu":MAILTO:yliu335@ncsu.edu
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