David Ochsner


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Ochsner

First Name

David

ORCID

0000-0003-3693-0237

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2020 - 20233
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Publications 1 - 3 of 3
  • Well-conditioned multi-product formulas for hardware- friendly Hamiltonian simulation
    Item type: Journal Article
    Carrera Vazquez, Almudena; Egger, Daniel J.; Ochsner, David; et al. (2023)
    Quantum
    Simulating the time-evolution of a Hamiltonian is one of the most promising applications of quantum computers. suited to replace standard product formulas since they scale better with respect to time and approximation errors. Hamiltonian simulation with MPFs was first proposed in a fully quantum setting using a linear combination of unitaries. Here, we analyze and demonstrate a hybrid quantum-classical approach to MPFs that classically combines expectation values evaluated with a quantum computer. This has the same approximation bounds as the fully quantum MPFs, but, in contrast, requires no additional qubits, no controlled operations, and is not probabilistic. We show how to design MPFs that do not amplify the hardware and sampling errors, and demonstrate their performance. In particular, we illustrate the potential of our work by theoretically analyzing the benefits when applied to a classically intractable spin-boson model, and by computing the dynamics of the transverse field Ising model using a classical simulator as well as quantum hardware. lation on noisy hardware.
  • Prototyping Strategies for the Agile Development of Additive Manufactured Products: A Case Study from the COVID-19 Pandemic
    Item type: Conference Paper
    Omidvarkarjan, Daniel; Rosenbauer, Ralph; Kirschenbaum, Daniel; et al. (2020)
    Proceedings of the 31st Symposium Design for X (DFX 2020)
    Frequent validations of physical product increments play an essential role for Agile Hardware Development (AHD). This paper presents practices for the accelerated embodiment of increments based on the analysis of an AHD project. It describes adaptations of established prototyping strategies for the use of Additive Manufacturing (AM), covering iterative refinement, parallel development, prototyping media change and scheduling of build phases. The application of the practices led to an accelerated embodiment process with mean iteration lengths of 6 days and a first release of a viable product increment within 18 days. By enabling early and frequent validations with tangible increments, the practices facilitate the effective application of AHD in practice.
  • Well-posedness of Bayesian inverse problems for hyperbolic conservation laws
    Item type: Report
    Mishra, Siddhartha; Ochsner, David; Ruf, Adrian; et al. (2021)
    SAM Research Report
    We study the well-posedness of the Bayesian inverse problem for scalar hyperbolic conservation laws where the statistical information about inputs such as the initial datum and (possibly discontinuous) flux function are inferred from noisy measurements. In particular, the Lipschitz continuity of the measurement to posterior map as well as the stability of the posterior to approximations, are established with respect to the Wasserstein distance. Numerical experiments are presented to illustrate the derived estimates.
Publications 1 - 3 of 3