Introduction

QuantumInputOutput.jl is a Julia framework for modeling the input-output theory with quantum pulses, using SLH (scattering, Lindblad, Hamiltonian) elements and rules. It combines:

• a symbolic layer based on SecondQuantizedAlgebra.jl to build models using SLH rules
• a numerical layer based on QuantumOptics.jl and QuantumCumulants.jl to simulate time dynamics and observables in a full quantum or higher-order meanfield approach, respectively

The typical workflow is:

1. Build the SLH model symbolically
2. Translate to numerical operators
3. Evolve the system in time
4. Analyze output modes and correlations

Key Features

• SLH modeling with cascade and concatenate rules
• Symbolic-to-numeric translation (including time-dependent couplings)
• Utilities for pulse modes, virtual cavities, interaction picture and pulse delay
• Two-time correlation functions and output-mode extraction
• Compatibility with QuantumOptics.jl and QuantumCumulants.jl

Installation

|pkg> add QuantumInputOutput

Where to Go

• Tutorial for a complete walkthrough of cavity scattering
• Theory for the input-output formalism with quantum pulses
• Implementation for the symbolic-to-numeric pipeline
• API for the full list of functions
• Examples for multiple different usage illustrations