QuantumToolbox.jl: An efficient Julia framework for simulating open quantum systems

Abstract

We present $\tt{QuantumToolbox.jl}$, an open-source Julia package for simulating open quantum systems. Designed with a syntax familiar to users of $\tt{QuTiP}$ (Quantum Toolbox in Python), it harnesses Julia's high-performance ecosystem to deliver fast and scalable simulations. The package includes a suite of time-evolution solvers supporting distributed computing and GPU acceleration, enabling efficient simulation of large-scale quantum systems. We also show how $\tt{QuantumToolbox.jl}$ can integrate with automatic differentiation tools, making it well-suited for gradient-based optimization tasks such as quantum optimal control. Benchmark comparisons demonstrate substantial performance gains over existing frameworks. With its flexible design and computational efficiency, $\tt{QuantumToolbox.jl}$ serves as a powerful tool for both theoretical studies and practical applications in quantum science.