qutip

Simulate qubit time evolution by defining a Hamiltonian and applying Schrödinger or Master equation solvers to compute dynamics. You can model unitary and non-unitary evolution, then visualize the resulting trajectory directly on a Bloch sphere.

Simulate open quantum systems by defining collapse operators for dissipation channels and applying the Master equation solver. This approach calculates non-unitary dynamics and density matrix evolution for systems interacting with their environment.

Visualize quantum states by plotting Wigner functions and Bloch spheres using built-in visualization tools. These features allow you to graphically analyze density matrices, kets, and the trajectory of qubits during time evolution.

Quantum information processing and control optimization are supported by installing the optional qutip-qip and qutip-qtrl dependencies. These packages extend core quantum mechanics simulations to include advanced qubit operations and optimal control algorithms.

Compute expectation values and fidelity by defining quantum operators and states, then applying analysis functions to the simulation results. This allows you to measure entropy, track system coherence, and quantify statistical distance between density matrices.

Use the Monte Carlo solver instead of the Master equation when simulating large quantum systems where density matrix calculations become computationally expensive. Monte Carlo methods estimate non-unitary dynamics using stochastic quantum trajectories.