[Joint CQSE & NCTS Seminar] Bounds on quantum adiabaticity in driven many-body systems and applications to adiabatic quantum computation

Title: [Joint CQSE & NCTS Seminar] Bounds on quantum adiabaticity in driven many-body systems and applications to adiabatic quantum computation
Speaker: Prof. Jyong-Hao Chen (National Central University)
Time: 2024/3/29 (Fri.) 14:30-15:30
Place: NCTS Physics Lecture Hall, 4F, Chee-Chun Leung Cosmology Hall, NTU
Online: https://nationaltaiwanuniversity-zbh.my.webex.com/nationaltaiwanuniversity-zbh.my/j.php?MTID=mb00e764354d74a2b322c54de4cfdf7da
 

Abstract
The ability to prepare desired quantum states with high precision is essential in
developing contemporary quantum science and technology. To this end, various
approximations based on the quantum adiabatic theorem are widely used. However,
determining the optimal rate of adiabatic evolution for approaching desired target states
is generally a challenging task, particularly in quantum many-body systems. In this talk,
I will first explain how one can estimate the quantum fidelity of adiabatic evolution in
quantum many-body systems using two more handily calculated quantities: generalized
orthogonality catastrophe and quantum speed limit [1,2]. The proposed approach allows
us to establish stronger bounds on adiabatic fidelity than those previously obtained in
the literature. I will then demonstrate how these new bounds can be applied to adiabatic
quantum computing [3]. Notably, our method can provide lower bounds for the runtime
of an example of adiabatic quantum algorithms with undetermined quantum speedups
(where the traditional approach based on calculating spectral gaps is ineffective).

References:
[1] J.-H. Chen and V. Cheianov, Phys. Rev. Research 4, 043055 (2022).
[2] J.-H. Chen and V. Cheianov, arXiv: 2208.02620 [quant-ph].
[3] J.-H. Chen, Phys. Rev. Research 5, 033175 (2023).
 
Biography
Education
 BSc, Department of Physics, National Central University, Taiwan (2005/09 ~ 2009/06)
 MSc, Department of Physics, National Taiwan University, Taiwan (2009/09 ~ 2011/06). Advisor: Prof. Xiao-Gang He
 PhD, Institute for Theoretical Physics, ETH Zurich, Switzerland (2015/02 ~ 2019/05). Advisor: Prof. Christopher Mudry

Experience
 JSPS Visiting Research Fellow, Institute for Solid State Physics, University of Tokyo, Japan (2019/03 ~ 2019/09)
 Postdoctoral Research Fellow, Department of Physics, University of California at Berkeley, the US (2019/10 ~ 2021/08)
 Postdoctoral Research Fellow, Lorentz Institute for Theoretical Physics, Leiden University, the Netherlands (2021/09 ~ 2023/05)
 Postdoctoral Research Fellow, Yukawa Institute for Theoretical Physics, Kyoto University, Japan (2023/06 ~ 2024/01)
 Assistant Professor, Department of Physics, National Central University, Taiwan (2024/02 ~ Present)

Academic Honors
 Yukawa Research Fellow, Yukawa Institute for Theoretical Physics, Kyoto University, Japan (2023/06 ~ 2024/01)

Research Interests
 Condensed Matter Theory, Statistical Physics, Quantum Information Science

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