[Feature Request]: Exploring Trade-Offs Between Fast iSWAP Gates and Cross-Kerr

[evmckinney9]

Feature Description and Why

We are investigating the dynamic interplay between fast iSWAP gates, realized through rapid parametric conversion processes, and the accompanying increase in cross-Kerr ($\chi$) effects. This study aims to optimize gate performance by balancing gate speed against the induced cross-Kerr interaction, a critical factor in multi-qubit systems.

Additional Details / Helpful Resources

Objectives

• Study Gate-Hamiltonian Dynamics: Analyze the relationship between the parametrically-driven iSWAP gate speed and the resulting cross-Kerr effects represented by the ZZ interaction.
• Optimal Balance Determination: Identify the optimal balance between achieving fast iSWAP operation and minimizing detrimental cross-Kerr interactions.
• Simulation and Fidelity Analysis: Conduct simulations to assess how varying the gate duration and $\chi$ parameter impacts the fidelity of quantum operations, especially in multi-qubit scenarios.

Implementation Steps

• Theoretical Modeling: Develop a theoretical model that captures the interdependencies between iSWAP gate speed and cross-Kerr effects in the quantum gate Hamiltonian.
• Simulation Adjustment: Modify simulation parameters to explore a wide range of iSWAP gate speeds and corresponding $\chi$ values.
• Data Collection and Analysis: Run simulations to collect fidelity data across different configurations, focusing on the trade-offs between fast gate operation and cross-Kerr effects.
• Optimization Strategy Development: Analyze the data to formulate a strategy for optimizing gate durations in the presence of varying cross-Kerr interactions.