| תקציר: | Implementation of practical quantum computing will hinge on control methods that remain accurate and scalable as systems grow. In superconducting circuit QED (cQED), Bosonic encodings are especially attractive because large-photon-number states can enable faster control pulses. Yet at high photon numbers, existing analytical pulse derivations lose accuracy and yield sub-optimal performance, while brute-force simulation of the full quantum time evolution is prohibitive due to the memory required to represent the enlarged Hilbert space. To overcome this bottleneck, this work introduces a novel method that shifts the challenge from memory-intensive state storage to time-efficient transition amplitude calculation. This approach leverages a tool capable of directly calculating the transition amplitude between initial and final quantum states, thereby bypassing the resource-intensive process of tracking the full system evolution. The technique leverages the mathematical framework of the Dyson series and Divided Differences to compute the time evolution of a given state. This work will detail the developed optimization tool and, through the implementation on a key Bosonic code pulse, will present conclusions regarding the achievable fidelity and time-efficiency trade-off at large photon numbers. |