A crucial subroutine in quantum computing is to load the classical data of $N$ complex numbers into amplitude a superposed $n=\ensuremath{\lceil}{log}_{2}N\ensuremath{\rceil}$-qubit state. It has been proven that any algorithm universally implementing this would need at least $O(N)$ constant weight operations. However, proof assumes only $n$ qubits are used, whereas circuit depth could be reduc...

Multiterminal Josephson junctions constitute engineered topological systems in arbitrary synthetic dimensions defined by the superconducting phases. Microwave spectroscopy enables measurement of quantum geometric tensor, a fundamental quantity describing both geometry and topology emergent Andreev bound states unified manner. In this work we propose an experimentally feasible multiterminal setu...