Eleftherios Mastorakis, Muhammad Umer, Milena Guevara-Bertsch, Juris Ulmanis, Felix Rohde and Dimitris G. Angelakis
Resource-efficient, low-depth implementations of quantum circuits remain a promising strategy for
achieving reliable and scalable computation on quantum hardware, as they reduce gate resources and
limit the accumulation of noisy operations. Here, we propose a low-depth implementation of a class
of Hadamard test circuits, complemented by the development of a parameterized quantum ansatz
specifically tailored for variational algorithms that exploit the underlying Hadamard test framework.
Our findings demonstrate a significant reduction in single- and two-qubit gate counts, suggesting a
reliable circuit architecture for noisy intermediate-scale quantum (NISQ) devices. Building on this
foundation, we tested our low-depth scheme to investigate the expressive capacity of the proposed
parameterized ansatz in simulating nonlinear Burgers’ dynamics. The resulting variational quantum
states faithfully capture the shockwave feature of the turbulent regime and maintain high overlaps
with classical benchmarks, underscoring the practical effectiveness of our framework. Furthermore,
we evaluate the effect of hardware noise by modeling the error properties of real quantum processors
and by executing the variational algorithm on a trapped-ion-based IBEX Q1 device. The outcomes
of our demonstrations highlight the resilience of our low-depth scheme in the turbulent regime,
consistently preparing high-fidelity variational states that exhibit strong agreement with classical
benchmarks. Our work contributes to the advancement of resource-efficient strategies for quantum
computation, offering a robust framework for tackling a range of computationally intensive problems
across numerous applications.
Cite as BibTeX
@unknown{unknown,
author = {Mastorakis, Eleftherios and Umer, Muhammad and Guevara-Bertsch, Milena and Ulmanis, Juris and Rohde, Felix and Angelakis, Dimitris},
year = {2025},
month = {07},
pages = {},
title = {Resource-Efficient Hadamard Test Circuits for Nonlinear Dynamics on a Trapped-Ion Quantum Computer},
doi = {10.48550/arXiv.2507.19250}
}