Efficient Multi-Controlled Gate Implementation in Trapped-Ion Systems
Abstract
Multi-controlled gates are essential primitives in quantum algorithms, yet implementing them via standard gate-level decompositions remains resource-intensive. We develop efficient pulse-level implementations of multi-controlled gates in trapped-ion systems using the Cirac-Zoller scheme. We first show that the Cirac-Zoller construction admits a freedom in the sign choice of red-sideband (RSB) pulses, which leaves the logical operation invariant up to a local Pauli-Z correction. By exploiting this freedom, we construct equivalent realizations of multi-controlled gates and develop pulse cancellation for more efficient implementations of successive gates. We perform numerical simulations and show that pulse cancellation reduces the gate time and improves the state fidelity. Furthermore, we propose ancilla-free circuits for general N-controlled gates that use a single-controlled gate primitive and πͺ(N) RSB pulses. As a key application, we apply our pulse cancellation to the linear combination of unitaries (LCU) method for block encoding. We show that the RSB-pulse cost of the select operator over L unitaries can be reduced from πͺ(Llog L) to πͺ(L), which improves the efficiency and scalability of LCU-based quantum circuits.
Versions
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BibTeX
@misc{kang2026efficient,
title = {{Efficient Multi-Controlled Gate Implementation in Trapped-Ion Systems}},
author = {Minhyeok Kang and Taejin Kim and Jungsoo Hong and Joonsuk Huh},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2605.04654},
eprint = {2605.04654},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.04654},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Efficient Multi-Controlled Gate Implementation in Trapped-Ion Systems
AU - Minhyeok Kang
AU - Taejin Kim
AU - Jungsoo Hong
AU - Joonsuk Huh
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2605.04654
UR - https://arxiv.org/abs/2605.04654
AB - Multi-controlled gates are essential primitives in quantum algorithms, yet implementing them via standard gate-level decompositions remains resource-intensive. We develop efficient pulse-level implementations of multi-controlled gates in trapped-ion systems using the Cirac-Zoller scheme. We first show that the Cirac-Zoller construction admits a freedom in the sign choice of red-sideband (RSB) pulses, which leaves the logical operation invariant up to a local Pauli-Z correction. By exploiting this freedom, we construct equivalent realizations of multi-controlled gates and develop pulse cancellation for more efficient implementations of successive gates. We perform numerical simulations and show that pulse cancellation reduces the gate time and improves the state fidelity. Furthermore, we propose ancilla-free circuits for general N-controlled gates that use a single-controlled gate primitive and πͺ(N) RSB pulses. As a key application, we apply our pulse cancellation to the linear combination of unitaries (LCU) method for block encoding. We show that the RSB-pulse cost of the select operator over L unitaries can be reduced from πͺ(Llog L) to πͺ(L), which improves the efficiency and scalability of LCU-based quantum circuits.
ER -