The DiQuNET Paradigm for the Control of Quantum Processors: The case for Trapped Ions
Stefanie Castillo
Abstract
[Background] Quantum processors offer a new paradigm for computing which can more accurately model –simulate– the intrinsic quantum nature of microscopic phenomena, can more efficiently compute algorithms with a quantum formulation versus that of their classical formulation, and has been shown to have a higher energy efficiency than classical processors when solving the same problem. Yet, the practical physical implementation of quantum processors is inherently transient, stochastic, and prone to perturbations, which makes the best-performing quantum processor to date to sink in errors before it can get past the 25th circuit gate layer of computation with its 25 quantum bits. A quantum processor promises us benefits, but only if built within a utility-scale size, currently estimated to be of about O(10^6) quantum bits x O(10^9) gate layers, and if we manage to overcome its errors by engineering it fault-tolerantly. After about 30 years in the pursuit of building this machine, we are several orders of magnitude away from usefulness. The challenge is such that this machine potentially boils down to be the largest-scale and most-challenging engineering project that human kind pursues to build during the 21st century. Accordingly, this challenge must be approached with a pragmatic engineering mindset. [Objective] Therefore, this work takes an engineering approach to define a system-level control paradigm for quantum processors, which enables scalability, reliability, usefulness, efficiency, sustainability, and resilience, within the case study of trapped ions. [Methods] In this work, I apply engineering methods, namely, systems and control engineering for the development of a machine. The first step is to clearly understand and describe the problem and what is at stake along the expectations of a current worldwide quantum investment in the US$ O(10^9). To that end, I examine existing prior art through a systematic literature review and conduct numerous interviews of European physicists in order to comprehend the status quo of quantum computing. Second, I use a top-down system-level methodology for the conception of the control system of quantum processors. Finally, I realize a proof of concept for one constituent machine compliant to the system-level proposal. [Results] In light of examining the status quo strategy for quantum computing, I must challenge it and advocate to redirect our efforts towards building this machine as a closed-loop locked-algorithm control system in order to ultimately enable its resilience. First, I propose the top-level ASQP machine and the DiQuNET architecture as novel paradigm for the control of quantum processors. Second, I develop a proof of concept of the first DiQuIC: the ITIC, which is a constituent machine of the DiQuNET system that implements a particular functional task in a trapped-ion quantum processor. [Conclusion] The ASQP is a novel system-level use-case proposal for a quantum processor. The DiQuNET paradigm is a novel system-level proposal for the physical control implementation of the quantum Turing machine. Overall, the control paradigm endows a quantum processor with scalability, reliability, usefulness, sustainability, efficiency, and resilience features. It is a proposal that opens the door to the standardization, the industrial realization, and the human-resources distributed and collaborative development of the control system of quantum processors. Cite this thesis as: S. Castillo, “The DiQuNET Paradigm for the Control of Quantum Processors: The case for Trapped Ions,” Doctoral Thesis, University of Innsbruck, Dept. Mechatron., Innsbruck, Austria, 2026. doi: https://doi.org/10.5281/zenodo.23236620 Thesis information: Grade: 1 (excellent)ISCED-11 Level 8 * Advisors: Prof. T. Northup (UIBK, AT) and Prof. E. Charbon (EPFL, CH)* Evaluator: Prof. R. van Meter (Keio Uni, JP & Editor-in-Chief of IEEE TQE)* Tech-transfer Mentor: Jamie Urquhart (Founder of ARM. Ltd., UK) Revision history: 2026-03-27: First release v1.02026-09-29: Release v2.0: updated intro, chap. 1, and biography.