qutip

To simulate open quantum systems with decoherence, you can use master equation solvers to model dissipative dynamics. This toolbox supports computing time evolution for quantum states under both unitary and dissipative operations.

Calculating expectation values for a time-evolving quantum state involves applying time evolution solvers to quantum operators and states. This toolbox provides analysis features to compute expectation values, entropy, and fidelity directly.

Visualizing quantum dynamics like Bloch spheres and Wigner functions is directly supported. The toolbox includes built-in visualization methods to plot these quantum phenomena for analyzing states and system evolution.

Yes, simulating cavity QED and quantum optics systems is a core supported use case. Researchers can model the behavior of qubits, simulate cavity dynamics, and explore fundamental quantum phenomena.

Setting up the time evolution of a two-level system under a Hamiltonian requires creating the quantum state and defining the Hamiltonian operator. The toolbox provides optimized solvers to then simulate the unitary dynamics.

This approach distinguishes itself by providing specialized solvers for both closed unitary and open dissipative quantum systems within one framework. It integrates state manipulation, time evolution, and quantum visualization methods comprehensively.