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Optimizing counterdiabaticity by variational quantum circuits

delete2022-11-07
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OA
AI
D
Dan Sun
P
Pranav Chandarana
Z
Zi‐Hua Xin
X
Xi Chen *
DOI:10.1098/rsta.2021.0282delete
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Abstract

Abstract

En 中文
Using counterdiabatic (CD) driving-aiming at suppression of diabatic transition-in digitized adiabatic evolution has garnered immense interest in quantum protocols and algorithms. However, improving the approximate CD terms with a nested commutator ansatz is a challenging task. In this work, we propose a technique of finding optimal coefficients of the CD terms using a variational quantum circuit. By classical optimization routines, the parameters of this circuit are optimized to provide the coefficients corresponding to the CD terms. Then their improved performance is exemplified in Greenberger-Horne-Zeilinger state preparation on the nearest-neighbour Ising model. Finally, we also show the advantage over the usual quantum approximation optimization algorithm, in terms of fidelity with bounded time.This article is part of the theme issue 'Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives'.
Keywords:
counterdiabatic driving
variational quantum circuits
simultaneous perturbation stochastic approximation

Journal

P
Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences
IF:
3.7
Papers:
7.7K
Citations:
2.8W

Organization

U
university of basque country
Scholars:
1.9W
Papers: 1.6W
Citations: 17
S
shanghai university
Scholars:
3.9W
Papers: 2.7W
Citations: 52