Tutorials

This page contains our collection of Jupyter (formerly IPython) notebooks for introducing and demonstrating features of QuTiP. Going through these notebooks should be a good way to get familiarized with the software. If you are new to scientific computing with Python, you might also find it useful to have a look at these IPython notebook Lectures on scientific computing with Python.

The following are the contents of this page:

• Example notebooks
  • Python Introduction
  • Basics
  • Visualization
  • Quantum information processing
  • Quantum circuits and algoritms
  • Noisy quantum devices
  • Time evolution
  • Optimal control
  • Permutational invariant Lindblad dynamics
• Quantum mechanics lectures with QuTiP
• Development notebooks

Example notebooks

These notebooks demonstrate and introduce specific functionality in QuTiP.

Python Introduction

• Quick introduction to Python
• Overview of NumPy Arrays
• Brief introduction to Matplotlib

For a more in depth discussion see: Lectures on scientific computing with Python.

Basics

• Introduction to QuTiP
• Exponential series
• Groundstates: Jaynes-Cummings model in the ultrastrong coupling regime
• Superoperators, Pauli basis and channel contraction

Visualization

• Visualization demos
• Energy-level diagrams
• Bloch-sphere animation
• Bloch sphere with colorbar
• Wigner functions
• Pseudo-probability functions
• Process tomography
• Qubism visualizations

Quantum information processing

This section requires an additional package qutip-qip.

Quantum circuits

• Quantum gates and circuits
• Toffoli gate to CNOT
• Importing and exporting QASM circuits
• Quantum teleportation

Noisy quantum devices

• The noisy quantum device simulator
• Simulating the Deutsch–Jozsa algorithm with noise
• Simulating custom devices
• Optimal pulse processor
• The pulse scheduler

Time evolution

• The QobjEvo class for optimised time-dependence
• Master equation solver: Qubit dynamics
• Master equation solver: Vacuum Rabi oscillations
• Master equation solver: Spin chain
• Monte-Carlo solver: Trilinear oscillators
• Monte-Carlo solver: Birth and death of photons in a cavity
• Bloch-Redfield master equation solver
• Time-dependent Bloch-Redfield quantum dot
• Floquet formalism
• Quasi-steadystate of time-dependent (periodic) systems
• Time-dependent master equation: Landau-Zener transitions
• Time-dependent master equation: Landau-Zener-Stuckelberg inteferometry
• Stochastic master equation: Heterodyne detection
• Stochastic master equation: Inefficient detection
• Stochastic master equation: Jaynes-Cummings model with photocurrent detection
• Stochastic master equation: Feedback control
• Steady state solvers: Optomechanical system
• Homodyned Jaynes-Cummings emission
• Monte-Carlo vs stochastic trajectories: Cat states become coherent states

Optimal control

• Overview
• Hadamard
• QFT
• Lindbladian
• Symplectic
• QFT (CRAB)
• State to state (CRAB)
• CNOT
• iSWAP
• Single-qubit rotation
• Toffoli gate

Tomography

• Density matrix estimation with iterative maximum likelihood estimation

Permutational invariant Lindblad dynamics

• Overview
• Superradiant light emission
• Steady state superradiance
• Open Dicke model
• Spin squeezing with noise
• Boundary time crystals
• Multiple spin ensembles
• Von Neumann entropy and purity

Quantum mechanics lectures with QuTiP

These lecture-style notebooks focus on particular quantum mechanics topics and analyze them numerically using QuTiP (some more detailed than others).

• Jaynes-Cummings model
• Cavity-qubit gates
• Single-atom lasing
• Dicke model
• Jaynes-Cummings with ultrastrong coupling
• Correlation Functions
• Pulse-wise second-order coherence, g⁽²⁾[0]
• Pulse-wise two-photon interference
• Temporal photon scattering in quantum optical systems
• Particle emission from a photon cascade
• Parametric Amplifier
• Quantum Monte-Carlo trajectories
• iSWAP gate
• Adiabatic quantum computing
• Squeezed states of an harmonic oscillator
• cQED in the dispersive regime
• Superconducting charge qubits
• Decay into a squeezed vacuum field
• Resonance fluorescence
• Kerr nonlinearities
• Nonclassically driven atoms
• Gallery of Wigner functions
• Tutorial on the Stern-Gerlach experiment

Development notebooks

A collection of more technical development notebooks, which often focus on testing and benchmarking various features of QuTiP, is available here.