5 citations · 5 across the 3 of their papers we have counts for
4 papers
Quantum Signal Processing for Linear PDEs: Circuit Design and Experimental Validation
Hyeongjin Kim, Revathi Jambunathan, Jan Balewski +1
Quantum algorithms offer new avenues for solving partial differential equations (PDEs). While the potential for end-to-end quantum advantage is at present not well understood, rece…
Temperature and integrability-breaking correspondence via adiabatic transformations
Hyeongjin Kim, Souvik Bandyopadhyay, Anatoli Polkovnikov
We reveal a correspondence between temperature and integrability-breaking in classical and quantum many-body systems through the lens of geometry and adiabatic transformations. Dec…
Confined and deconfined chaos in classical spin systems
Hyeongjin Kim, Robin Schäfer, David M. Long +2
Weakly perturbed integrable many-body systems are typically chaotic, and thermal at late times. However, there are distinct relationships between the timescales for thermalization…
Defining classical and quantum chaos through adiabatic transformations
Hyeongjin Kim, Cedric Lim, Kirill Matirko +2
We propose a formalism which defines chaos in both quantum and classical systems in an equivalent manner by means of \textit{adiabatic transformations}. The complexity of adiabatic…