Shuttling-based single qubit gate is an emerging method for qubit manipulation that offers
significant advantages, including the elimination of RF signals, simplicity, and reduced
charge noise. Despite its potential, the development of specific shuttling pulses for quantum
operations and the design of cryogenic circuits to facilitate these pulses are areas that
remain largely unexplored. This gap has led to the focus of my thesis project: designing an
application-specific circuit to implement shuttling gates.
The contributions of this thesis are twofold. The first part begins with an analysis of
the system Hamiltonian, progressing to the development of pulse compilation methods
designed to implement arbitrary quantum gates across a wide range of sample parameter
variations. This section includes extensive quantum dynamics simulations to determine
the necessary specifications for the supporting circuit.
The second part of the thesis details the design of a cryogenic circuit based on imple-
menting a high-precision, wide-range digital-to-time converter using Intel 16nm FinFET
technology. This segment covers the proposed architecture, sub-circuit schematics, and
performance simulations. The subcircuit achieves sub-picosecond resolution and can ex-
tend to a microsecond-level operational range. It also maintains low power consumption,
with common delay circuits consuming only 2.8𝑚𝑊 and dedicated delay circuits 44𝜇𝑊
for each qubit. This efficiency demonstrates the circuit’s potential to control thousands of
shuttling qubits effectively

This thesis investigates the robustness of Gate Set Tomography (GST) under the influence of time-correlated (non-Markovian) noise. GST is a widely used protocol for characterizing quantum gates, yet its efficacy traditionally relies on the assumption of Markovian noise, where errors are memoryless. This research challenges this assumption by introducing non-Markovian noise into simulated GST experiments using a custom-developed Python library. The study com- pares baseline GST performance under Markovian noise with GST results un- der various non-Markovian noise conditions. The findings highlight significant discrepancies in GST’s error reporting and reveal a distinct trade-off between GST’s accuracy and consistency in practical, non-Markovian settings. This work contributes to the broader understanding of error characterization in quantum computing and provides a robust framework for future studies in quantum gate fidelity under realistic noise conditions.