Gabriel Given

ORCID: 0000-0002-8641-4073
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About
Contact & Profiles
Research Areas
  • Quantum Information and Cryptography
  • Quantum Computing Algorithms and Architecture
  • Quantum chaos and dynamical systems
  • Quantum many-body systems
  • CCD and CMOS Imaging Sensors
  • Astronomy and Astrophysical Research
  • Theoretical and Computational Physics
  • Dark Matter and Cosmic Phenomena

Michigan State University
2019-2024

In the current era of noisy quantum devices, there is a need for algorithms that are efficient and robust against noise. Towards this end, we introduce projected cooling algorithm computation. The able to construct localized ground state any Hamiltonian with translationally-invariant kinetic energy interactions vanish at large distances. term "localized" refers localization in position space. method can be viewed as analog evaporative cooling. We start an initial support over compact region...

10.1016/j.physletb.2020.135536 article EN cc-by Physics Letters B 2020-06-04

We show that a one-dimensional chain of trapped ions can be engineered to produce quantum mechanical system with discrete scale invariance and fractal-like time dependence. By we mean replicates itself under rescaling distance for some factor, fractal is signal invariant the time. These features are reminiscent Efimov effect, which has been predicted observed in bound states three-body systems. demonstrate ion controlled two independently tunable parameters. also discuss extension $n$-body...

10.1103/physreva.100.011403 article EN publisher-specific-oa Physical review. A/Physical review, A 2019-07-24

The rodeo algorithm is an efficient for eigenstate preparation and eigenvalue estimation any observable on a quantum computer. This makes it promising tool studying the spectrum structure of atomic nuclei as well other fields many-body physics. only requirement that initial state has sufficient overlap probability with desired eigenstate. While exponentially faster than well-known algorithms such phase adiabatic evolution preparation, yet to be implemented actual device. In this work, we...

10.48550/arxiv.2110.07747 preprint EN cc-by arXiv (Cornell University) 2021-01-01
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