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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241105T161500
DTEND;TZID=Europe/Berlin:20241105T161500
DTSTAMP:20260504T095225
CREATED:20250704T074153Z
LAST-MODIFIED:20250704T074153Z
UID:10000057-1730823300-1730823300@www.trr352.de
SUMMARY:Quantum Walks: Their basic properties and dynamical localization
DESCRIPTION:Quantum walks (QWs) can be viewed as quantum analogs of classical random walks. Mathematically\, a QW is described as a unitary\, local operator acting on a grid and can be written as a product of shift and coin operators. We highlight differences to classical random walks and stress their connection to quantum algorithms (see Grover’s algorithm). If the QW is assumed to be translation invariant\, applying the Fourier transform yields a multiplication operator\, whose bandstructure we briefly study. After equipping the underlying lattice with random phases\, we turn to dynamical localization. This means that the probability to move from one lattice site to another decreases on average exponentially in the distance\, independently of how many steps the QW may take. We sketch the proof of dynamical localization on the hexagonal lattice in the regime of strong disorder\, which uses a finite volume method.
URL:https://www.trr352.de/event/quantum-walks-their-basic-properties-and-dynamical-localization/
LOCATION:Room 5608.03.011 (Seminarraum (M1/M7))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241105T180000
DTEND;TZID=Europe/Berlin:20241105T180000
DTSTAMP:20260504T095225
CREATED:20250704T073809Z
LAST-MODIFIED:20250704T073809Z
UID:10000056-1730829600-1730829600@www.trr352.de
SUMMARY:Weyl asymptotics for Lipschitz domains
DESCRIPTION:
URL:https://www.trr352.de/event/weyl-asymptotics-for-lipschitz-domains/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241107T160000
DTEND;TZID=Europe/Berlin:20241107T160000
DTSTAMP:20260504T095225
CREATED:20250704T073450Z
LAST-MODIFIED:20250904T103351Z
UID:10000055-1730995200-1730995200@www.trr352.de
SUMMARY:How to represent a function in a quantum computer
DESCRIPTION:Quantum Signal Processing (QSP) is an algorithmic process by which one represents a signal $f: [0\,1] \to (-1\,1)$ as the upper left entry of a product of $SU(2)$ matrices parametrized by the input variable $x \in [0\,1]$ and some ”phase factors” $\{\psi_k\}_{k \geq 0}$ depending on $f$. We show that\, after a change of variables\, QSP is actually the SU(2)-valued nonlinear Fourier transform\, and the phase factors $\{\psi_k\}_k$ correspond to the nonlinear Fourier coefficients. By exploiting a nonlinear Plancherel identity and using some basic spectral theory\, we then show that a QSP representation exists for every $f$ satisfying the log integrability condition \[ \int\limits_{0} ^1 \log (1-f(x)^2) \frac{dx}{\sqrt{1-x^2}} > – \infty \\, . \]
URL:https://www.trr352.de/event/how-to-represent-a-function-in-a-quantum-computer/
LOCATION:Room C3N14\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241113T180000
DTEND;TZID=Europe/Berlin:20241113T180000
DTSTAMP:20260504T095225
CREATED:20250704T072901Z
LAST-MODIFIED:20250704T072901Z
UID:10000054-1731520800-1731520800@www.trr352.de
SUMMARY:Lagrange\, Euler\, Hooke\, and Cauchy
DESCRIPTION:
URL:https://www.trr352.de/event/lagrange-euler-hooke-and-cauchy/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241113T190000
DTEND;TZID=Europe/Berlin:20241113T190000
DTSTAMP:20260504T095225
CREATED:20250704T072528Z
LAST-MODIFIED:20250704T072528Z
UID:10000053-1731524400-1731524400@www.trr352.de
SUMMARY:Around Segal Axioms for QFT: construction and interpretations
DESCRIPTION:
URL:https://www.trr352.de/event/around-segal-axioms-for-qft-construction-and-interpretations/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
ORGANIZER;CN="Jiasheng Lin":MAILTO:jiasheng.lin@imj-prg.fr
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241128T160000
DTEND;TZID=Europe/Berlin:20241128T160000
DTSTAMP:20260504T095225
CREATED:20250704T071829Z
LAST-MODIFIED:20250829T134650Z
UID:10000052-1732809600-1732809600@www.trr352.de
SUMMARY:Semi-classical limit in Quantum mechanics: Dynamics and Beyond
DESCRIPTION:
URL:https://www.trr352.de/event/semi-classical-limit-in-quantum-mechanics-dynamics-and-beyond/
LOCATION:Room C3N14\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
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